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1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e0f1bb4 | problem | aim-0df1011a6fa8a3c46e2c977b7e0f1bb4 | Algebraic properties · Question 05 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
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"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/geomartingp/ Not an author-supplied MSC code."
}
] | Are all Artin groups virtually residually finite? | unassessed | {
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The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
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1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e0f27bc | problem | aim-0df1011a6fa8a3c46e2c977b7e0f27bc | Algebraic properties · Question 15 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/geomartingp/ Not an author-supplied MSC code."
}
] | Which Artin groups are profinitely rigid? | unassessed | {
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"url": "http://aimpl.org/geomartingp/8/#0df1011a6fa8a3c46e2c977b7e0f27bc",
"citation": null,
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"license": "Editorially moderated; per-list terms",
"notes": "Problem li... | null | null | null | not-recorded | not-recorded | null | [] | [] | Geometry and topology of Artin groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Geometry and topology of Artin groups",
"url": "http://aimpl.org/geomartingp/8/",
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] | {
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1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e0f3678 | problem | aim-0df1011a6fa8a3c46e2c977b7e0f3678 | Algebraic properties · Question 1 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/geomartingp/ Not an author-supplied MSC code."
}
] | Are all Artin groups good in the sense of Serre? | unassessed | {
"key": "aimpl",
"name": "AIM · Geometry and topology of Artin groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/geomartingp/8/#0df1011a6fa8a3c46e2c977b7e0f3678",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem li... | null | null | null | not-recorded | not-recorded | null | [] | [] | Geometry and topology of Artin groups · Historical workshop question | ## Question context
We say a group is **good in the sense of Serre** if it has the same cohomology as its profinite completion. | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Geometry and topology of Artin groups",
"url": "http://aimpl.org/geomartingp/8/",
"note": null,
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] | {
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
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1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e0f4344 | problem | aim-0df1011a6fa8a3c46e2c977b7e0f4344 | Algebraic properties · Question 2 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/geomartingp/ Not an author-supplied MSC code."
}
] | Which Artin groups are Hopfian? | unassessed | {
"key": "aimpl",
"name": "AIM · Geometry and topology of Artin groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/geomartingp/8/#0df1011a6fa8a3c46e2c977b7e0f4344",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem li... | null | null | null | not-recorded | not-recorded | null | [] | [] | Geometry and topology of Artin groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Geometry and topology of Artin groups",
"url": "http://aimpl.org/geomartingp/8/",
"note": null,
"sort_order": 0
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] | {
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
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} | 2026-10-10T16:07:49.246Z | {"database_id":"be2c76a8-517e-4879-8d3d-3eb356daf575","format_issues":null,"number":8139} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e0f4fe3 | problem | aim-0df1011a6fa8a3c46e2c977b7e0f4fe3 | Algebraic properties · Question 25 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/geomartingp/ Not an author-supplied MSC code."
}
] | Does the group ring of an Artin group have zero divisors? | unassessed | {
"key": "aimpl",
"name": "AIM · Geometry and topology of Artin groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/geomartingp/8/#0df1011a6fa8a3c46e2c977b7e0f4fe3",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem li... | null | null | null | not-recorded | not-recorded | null | [] | [] | Geometry and topology of Artin groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
## Status note in the source
Open even for spherical Artin groups | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Geometry and topology of Artin groups",
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
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] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:12.890Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"4dd4c2e4-2edc-4c6f-b6cb-bdf013cb9a17","format_issues":null,"number":8140} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e0f5430 | problem | aim-0df1011a6fa8a3c46e2c977b7e0f5430 | Algebraic properties · Question 3 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/geomartingp/ Not an author-supplied MSC code."
}
] | The generalized Tits conjecture | unassessed | {
"key": "aimpl",
"name": "AIM · Geometry and topology of Artin groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/geomartingp/8/#0df1011a6fa8a3c46e2c977b7e0f5430",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem li... | null | null | null | not-recorded | not-recorded | null | [] | [] | Geometry and topology of Artin groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Geometry and topology of Artin groups",
"url": "http://aimpl.org/geomartingp/8/",
"note": null,
"sort_order": 0
}
] | {
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"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
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"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:12.895Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"87bf18cf-372a-4272-b85e-79d3b5fbc767","format_issues":null,"number":8141} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e0f5b39 | problem | aim-0df1011a6fa8a3c46e2c977b7e0f5b39 | Algebraic properties · Question 35 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/geomartingp/ Not an author-supplied MSC code."
}
] | Does the Tits alternative hold for all Artin groups? | unassessed | {
"key": "aimpl",
"name": "AIM · Geometry and topology of Artin groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/geomartingp/8/#0df1011a6fa8a3c46e2c977b7e0f5b39",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem li... | null | null | null | not-recorded | not-recorded | null | [] | [] | Geometry and topology of Artin groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Geometry and topology of Artin groups",
"url": "http://aimpl.org/geomartingp/8/",
"note": null,
"sort_order": 0
}
] | {
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
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"source-full-text-not-present"
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"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:12.899Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"c9a8b03f-c5ed-4fc5-87bb-98d6aa020bdc","format_issues":null,"number":8142} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e0f615f | problem | aim-0df1011a6fa8a3c46e2c977b7e0f615f | Algebraic properties · Question 4 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/geomartingp/ Not an author-supplied MSC code."
}
] | Given $a,b \in A$, is there an $n = n(a,b)$ such that $\langle a^n, b^n \rangle$ is free or free abelian? | unassessed | {
"key": "aimpl",
"name": "AIM · Geometry and topology of Artin groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/geomartingp/8/#0df1011a6fa8a3c46e2c977b7e0f615f",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem li... | null | null | null | not-recorded | not-recorded | null | [] | [] | Geometry and topology of Artin groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
## Status note in the source
Known for RAAGs with $n(a,b) = 1$, extra-large type, 2-dimensional hyperbolic, and $A_n$ type. Open for spherical in general | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
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"kind": "website",
"citation": "Geometry and topology of Artin groups",
"url": "http://aimpl.org/geomartingp/8/",
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
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"published_at": "2026-09-08T03:33:12.903Z",
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1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e0f64a0 | problem | aim-0df1011a6fa8a3c46e2c977b7e0f64a0 | Algebraic properties · Question 45 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/geomartingp/ Not an author-supplied MSC code."
}
] | Compute the centralizer of an arbitrary element.
A more specific question: in a Euclidean Artin group, if two elements are contained in centers of spherical parabolic subgroups, when do the two elements commute? | unassessed | {
"key": "aimpl",
"name": "AIM · Geometry and topology of Artin groups",
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"url": "http://aimpl.org/geomartingp/8/#0df1011a6fa8a3c46e2c977b7e0f64a0",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem li... | null | null | null | not-recorded | not-recorded | null | [] | [] | Geometry and topology of Artin groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Geometry and topology of Artin groups",
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
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"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:12.909Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"1f980aac-b294-49ff-8719-80ffcd12a821","format_issues":null,"number":8144} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e0f6ff0 | problem | aim-0df1011a6fa8a3c46e2c977b7e0f6ff0 | Algebraic properties · Question 5 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/geomartingp/ Not an author-supplied MSC code."
}
] | Find a ``good''/``natural'' (e.g., finite dimensional) linear representation for Artin groups. | unassessed | {
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The source supplies no status note for this question. | null | published | incremental | hard | [
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1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e0f7b16 | problem | aim-0df1011a6fa8a3c46e2c977b7e0f7b16 | Algebraic properties · Question 55 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/geomartingp/ Not an author-supplied MSC code."
}
] | Prove Coxeter groups are residually finite without appealing to linearity. | unassessed | {
"key": "aimpl",
"name": "AIM · Geometry and topology of Artin groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/geomartingp/8/#0df1011a6fa8a3c46e2c977b7e0f7b16",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem li... | null | null | null | not-recorded | not-recorded | null | [] | [] | Geometry and topology of Artin groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Geometry and topology of Artin groups",
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"note": null,
"sort_order": 0
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] | {
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
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"created_at": "2026-09-08T03:32:15.935Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"fe9cb04a-0aa0-4155-93d7-bc0820dd8697","format_issues":null,"number":8146} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e0f8cc4 | problem | aim-0df1011a6fa8a3c46e2c977b7e0f8cc4 | The big questions · Question 4 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/geomartingp/ Not an author-supplied MSC code."
}
] | Is each Artin group isomorphic to its dual? | unassessed | {
"key": "aimpl",
"name": "AIM · Geometry and topology of Artin groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/geomartingp/1/#0df1011a6fa8a3c46e2c977b7e0f8cc4",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem li... | null | null | null | not-recorded | not-recorded | null | [] | [] | Geometry and topology of Artin groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
## Status note in the source
Known for spherical and Euclidean. Open for RAAGs | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Geometry and topology of Artin groups",
"url": "http://aimpl.org/geomartingp/1/",
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] | {
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
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"published_at": "2026-09-08T03:33:12.708Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"efb406cb-3037-40e0-a166-f4da475964aa","format_issues":null,"number":8099} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e0f9a45 | problem | aim-0df1011a6fa8a3c46e2c977b7e0f9a45 | The isomorphism problem · Question 4 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/geomartingp/ Not an author-supplied MSC code."
}
] | Find the commensurability and Q.I. classification for $\infty$-free Artin groups.
A specific case: are $F_4$ and $H_4$ commensurable? | unassessed | {
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"name": "AIM · Geometry and topology of Artin groups",
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"url": "http://aimpl.org/geomartingp/3/#0df1011a6fa8a3c46e2c977b7e0f9a45",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem li... | null | null | null | not-recorded | not-recorded | null | [] | [] | Geometry and topology of Artin groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Geometry and topology of Artin groups",
"url": "http://aimpl.org/geomartingp/3/",
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] | {
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
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} | 2026-10-10T16:07:49.246Z | {"database_id":"3f3a53e7-a7ea-42a3-a3c9-8715c84d42e6","format_issues":null,"number":8112} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e0f9fc7 | problem | aim-0df1011a6fa8a3c46e2c977b7e0f9fc7 | Algebraic properties · Question 6 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/geomartingp/ Not an author-supplied MSC code."
}
] | Which Artin groups have property $R_\infty$? | unassessed | {
"key": "aimpl",
"name": "AIM · Geometry and topology of Artin groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/geomartingp/8/#0df1011a6fa8a3c46e2c977b7e0f9fc7",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem li... | null | null | null | not-recorded | not-recorded | null | [] | [] | Geometry and topology of Artin groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
## Status note in the source
Sept 2024: Proven for more classes in https://arxiv.org/abs/2409.18123 | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Geometry and topology of Artin groups",
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] | {
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
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"published_at": "2026-09-08T03:33:12.925Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"da63b4bf-3af8-4512-a85d-d4d0631ea209","format_issues":null,"number":8147} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e0fade0 | problem | aim-0df1011a6fa8a3c46e2c977b7e0fade0 | Non-positive curvature · Question 35 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/geomartingp/ Not an author-supplied MSC code."
}
] | For $a,b \in A$, say $a \leq b$ if there is a positive word $c$ with $a = bc$. Is $(A,\leq)$ a join-semilattice? | unassessed | {
"key": "aimpl",
"name": "AIM · Geometry and topology of Artin groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/geomartingp/4/#0df1011a6fa8a3c46e2c977b7e0fade0",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem li... | null | null | null | not-recorded | not-recorded | null | [] | [] | Geometry and topology of Artin groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Geometry and topology of Artin groups",
"url": "http://aimpl.org/geomartingp/4/",
"note": null,
"sort_order": 0
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] | {
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
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"published_at": "2026-09-08T03:33:12.811Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"4f3d8871-e8d3-4d82-89cd-16980d802022","format_issues":null,"number":8122} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e0fe8fc | problem | aim-0df1011a6fa8a3c46e2c977b7e0fe8fc | Applying differential operators | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Algebraic geometry. http://aimpl.org/macaulay2efie/ Not an author-supplied MSC code."
}
] | Can we add a convenient way to let the differential operators on a ring R act on elements of R? Can we have them act on elements of the fraction field? | unassessed | {
"key": "aimpl",
"name": "AIM · Macaulay2: expanded functionality and improved efficiency",
"type": "workshop-problem-list",
"url": "http://aimpl.org/macaulay2efie/2/#0df1011a6fa8a3c46e2c977b7e0fe8fc",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
... | null | null | null | not-recorded | not-recorded | null | [] | [] | Macaulay2: expanded functionality and improved efficiency · Historical workshop question | ## Question context
Currently, the D-module package(s) doesn’t have a built-in way to act on ring elements by differential operators. | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Macaulay2: expanded functionality and improved efficiency",
"url": "http://aimpl.org/macaulay2efie/2/",
"note": null,
"sort_order": 0
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] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e0fe8fc",
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
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} | 2026-10-10T16:07:49.246Z | {"database_id":"2aa185fe-c5b4-453e-9687-845cddc26359","format_issues":null,"number":8618} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e100fa5 | problem | aim-0df1011a6fa8a3c46e2c977b7e100fa5 | Computing local cohomology via D-modules | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Algebraic geometry. http://aimpl.org/macaulay2efie/ Not an author-supplied MSC code."
}
] | Can computing just the necessary steps of the Cech complex speed up the computation of local cohomology? What about computing just the Budur--Mustata--Saito b-function just once? | unassessed | {
"key": "aimpl",
"name": "AIM · Macaulay2: expanded functionality and improved efficiency",
"type": "workshop-problem-list",
"url": "http://aimpl.org/macaulay2efie/2/#0df1011a6fa8a3c46e2c977b7e100fa5",
"citation": null,
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"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
... | null | null | null | not-recorded | not-recorded | null | [] | [] | Macaulay2: expanded functionality and improved efficiency · Historical workshop question | ## Question context
The current method for computing local cohomology requires the iterated computation of Bernstein--Sato polynomials at every step of the Cech complex. | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Macaulay2: expanded functionality and improved efficiency",
"url": "http://aimpl.org/macaulay2efie/2/",
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
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"created_at": "2026-09-08T03:32:15.935Z",
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"published_at": "2026-09-08T03:33:15.542Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"1c2fd7f1-0c7d-4131-b47d-976955667b2c","format_issues":null,"number":8619} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e10429a | problem | aim-0df1011a6fa8a3c46e2c977b7e10429a | Local cohomology in characteristic p | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Algebraic geometry. http://aimpl.org/macaulay2efie/ Not an author-supplied MSC code."
}
] | Given an F-finite F-module, how can one efficiently compute a unit F-module? For example, given the map $\mathrm{Ext}^i(R/I,R)\to \mathrm{Ext}^i(R/I^{[p]},R)$, how can one find a root for the local cohomology module $H^i_I(R)$? | unassessed | {
"key": "aimpl",
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"type": "workshop-problem-list",
"url": "http://aimpl.org/macaulay2efie/2/#0df1011a6fa8a3c46e2c977b7e10429a",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
... | null | null | null | not-recorded | not-recorded | null | [] | [] | Macaulay2: expanded functionality and improved efficiency · Historical workshop question | ## Question context
If R is a regular ring of characteristic p, then the local cohomology modules have many nice finiteness properties; one can describe many of these properties via the theory of unit $F$-modules. Work on implementing these calculations in M2 was begun at the 2023 Minneapolis workshop. | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Macaulay2: expanded functionality and improved efficiency",
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
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"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:15.546Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"b3917157-9c31-4afe-a60c-5090436cc447","format_issues":null,"number":8620} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e10a44a | problem | aim-0df1011a6fa8a3c46e2c977b7e10a44a | DG Algebras and Resolutions · Question 2 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Algebraic geometry. http://aimpl.org/macaulay2efie/ Not an author-supplied MSC code."
}
] | Can we compute the n-th step of a resolution quickly, without computing the previous steps? | unassessed | {
"key": "aimpl",
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"type": "workshop-problem-list",
"url": "http://aimpl.org/macaulay2efie/3/#0df1011a6fa8a3c46e2c977b7e10a44a",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
... | null | null | null | not-recorded | not-recorded | null | [] | [] | Macaulay2: expanded functionality and improved efficiency · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Macaulay2: expanded functionality and improved efficiency",
"url": "http://aimpl.org/macaulay2efie/3/",
"note": null,
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1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e10af13 | problem | aim-0df1011a6fa8a3c46e2c977b7e10af13 | DG Algebras and Resolutions · Question 1 | {
"main": "math",
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"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
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"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Algebraic geometry. http://aimpl.org/macaulay2efie/ Not an author-supplied MSC code."
}
] | What functionality should be added to the DGAlgebras package? Can we handle DG ideals and modules? What about semifree resolutions? Can it be better incorporated with the AInfinity and EagonResolution packages? Can we add higher-order Massey operations? | unassessed | {
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... | null | null | null | not-recorded | not-recorded | null | [] | [] | Macaulay2: expanded functionality and improved efficiency · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
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{
"kind": "website",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"0e2414fa-c85f-415f-9cd2-21e89ff5f720","format_issues":null,"number":8611} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e10b349 | problem | aim-0df1011a6fa8a3c46e2c977b7e10b349 | DG Algebras and Resolutions · Question 3 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Algebraic geometry. http://aimpl.org/macaulay2efie/ Not an author-supplied MSC code."
}
] | Can we add simplicial resolutions to Macaulay2? | unassessed | {
"key": "aimpl",
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"url": "http://aimpl.org/macaulay2efie/3/#0df1011a6fa8a3c46e2c977b7e10b349",
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... | null | null | null | not-recorded | not-recorded | null | [] | [] | Macaulay2: expanded functionality and improved efficiency · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
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1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e111675 | problem | aim-0df1011a6fa8a3c46e2c977b7e111675 | Sheaf cohomology and endomorphisms · Question 1 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Algebraic geometry. http://aimpl.org/macaulay2efie/ Not an author-supplied MSC code."
}
] | What is the best way to implement a "morphism of sheaves" data type? What's the best way to calculate the maps on sheaf cohomology induced by such a morphism on a projective variety? | unassessed | {
"key": "aimpl",
"name": "AIM · Macaulay2: expanded functionality and improved efficiency",
"type": "workshop-problem-list",
"url": "http://aimpl.org/macaulay2efie/4/#0df1011a6fa8a3c46e2c977b7e111675",
"citation": null,
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... | null | null | null | not-recorded | not-recorded | null | [] | [] | Macaulay2: expanded functionality and improved efficiency · Historical workshop question | ## Question context
M2 currently has sheaves on projective varieties, but no morphisms between them, and no way to compute the associated maps on cohomology. | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Macaulay2: expanded functionality and improved efficiency",
"url": "http://aimpl.org/macaulay2efie/4/",
"note": null,
"sort_order": 0
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] | {
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
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} | 2026-10-10T16:07:49.246Z | {"database_id":"37b03f6d-3713-44a3-886b-baa478a24a0b","format_issues":null,"number":8621} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e112180 | problem | aim-0df1011a6fa8a3c46e2c977b7e112180 | Sheaf cohomology and endomorphisms · Question 2 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Algebraic geometry. http://aimpl.org/macaulay2efie/ Not an author-supplied MSC code."
}
] | Can we compute all the degree-0 (or degree-≤ e) homomorphisms of a graded module M without computing the entirety of End M? What are other ways to speed up the decomposition of modules into indecomposable summands? If M is the direct sum of $N_1$ and $N_2$, how can we extract $\mathrm{End}(N_1)$ and $\mathrm{End}(N_2)$... | unassessed | {
"key": "aimpl",
"name": "AIM · Macaulay2: expanded functionality and improved efficiency",
"type": "workshop-problem-list",
"url": "http://aimpl.org/macaulay2efie/4/#0df1011a6fa8a3c46e2c977b7e112180",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
... | null | null | null | not-recorded | not-recorded | null | [] | [] | Macaulay2: expanded functionality and improved efficiency · Historical workshop question | ## Question context
There is preliminary code to decompose a module into indecomposables, but it would benefit from being much faster. Right now the bottleneck is the computation of the endomorphisms of module M. | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Macaulay2: expanded functionality and improved efficiency",
"url": "http://aimpl.org/macaulay2efie/4/",
"note": null,
"sort_order": 0
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] | {
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} | 2026-10-10T16:07:49.246Z | {"database_id":"1e3d7012-160f-4c8f-b7dd-a1fe830aa4ec","format_issues":null,"number":8622} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e11377e | problem | aim-0df1011a6fa8a3c46e2c977b7e11377e | Parellelization | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Algebraic geometry. http://aimpl.org/macaulay2efie/ Not an author-supplied MSC code."
}
] | How to parellize Macaulay2? Do we need a new garbage collector to do this? Which algorithms are inherently parallelizable and which need more thought? | unassessed | {
"key": "aimpl",
"name": "AIM · Macaulay2: expanded functionality and improved efficiency",
"type": "workshop-problem-list",
"url": "http://aimpl.org/macaulay2efie/1/#0df1011a6fa8a3c46e2c977b7e11377e",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
... | null | null | null | not-recorded | not-recorded | null | [] | [] | Macaulay2: expanded functionality and improved efficiency · Historical workshop question | ## Question context
It would be nice to have parallel computation in the M2 core. | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Macaulay2: expanded functionality and improved efficiency",
"url": "http://aimpl.org/macaulay2efie/1/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e11377e",
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"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:15.517Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"a9db3cd7-caad-4362-a574-fb7bdb293710","format_issues":null,"number":8613} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e114a89 | problem | aim-0df1011a6fa8a3c46e2c977b7e114a89 | Macaulay2 internals and benchmarks · Question 2 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Algebraic geometry. http://aimpl.org/macaulay2efie/ Not an author-supplied MSC code."
}
] | What features at the user level should be parallelized? For which computations do we want to run multiple algorithms simultaneously and take whichever finishes first? Can we do other calculations in the same instance while one calculation is running? | unassessed | {
"key": "aimpl",
"name": "AIM · Macaulay2: expanded functionality and improved efficiency",
"type": "workshop-problem-list",
"url": "http://aimpl.org/macaulay2efie/1/#0df1011a6fa8a3c46e2c977b7e114a89",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
... | null | null | null | not-recorded | not-recorded | null | [] | [] | Macaulay2: expanded functionality and improved efficiency · Historical workshop question | ## Question context
In addition, the "top level" user interface would benefit from parellization. | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Macaulay2: expanded functionality and improved efficiency",
"url": "http://aimpl.org/macaulay2efie/1/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e114a89",
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
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"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:15.521Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"1d911922-cee3-4856-8f8a-eed1a5916578","format_issues":null,"number":8614} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e1155b0 | problem | aim-0df1011a6fa8a3c46e2c977b7e1155b0 | Other internal improvements | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Algebraic geometry. http://aimpl.org/macaulay2efie/ Not an author-supplied MSC code."
}
] | How can we implement a faster basis calculation without breaking anything? | unassessed | {
"key": "aimpl",
"name": "AIM · Macaulay2: expanded functionality and improved efficiency",
"type": "workshop-problem-list",
"url": "http://aimpl.org/macaulay2efie/1/#0df1011a6fa8a3c46e2c977b7e1155b0",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
... | null | null | null | not-recorded | not-recorded | null | [] | [] | Macaulay2: expanded functionality and improved efficiency · Historical workshop question | ## Question context
The current "basis" method can be quite slow in situations where it should be nearly instantaneous (see Github issue #2899). | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Macaulay2: expanded functionality and improved efficiency",
"url": "http://aimpl.org/macaulay2efie/1/",
"note": null,
"sort_order": 0
}
] | {
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"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
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"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:15.525Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"df962837-4eab-4e5b-a72d-1a7defab48f4","format_issues":null,"number":8615} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e1155de | problem | aim-0df1011a6fa8a3c46e2c977b7e1155de | Macaulay2 internals and benchmarks · Question 5 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Algebraic geometry. http://aimpl.org/macaulay2efie/ Not an author-supplied MSC code."
}
] | What commands should we add "DegreeLimit" to, and how can we better document "DegreeLimit" and its expected behavior in these functions? | unassessed | {
"key": "aimpl",
"name": "AIM · Macaulay2: expanded functionality and improved efficiency",
"type": "workshop-problem-list",
"url": "http://aimpl.org/macaulay2efie/1/#0df1011a6fa8a3c46e2c977b7e1155de",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
... | null | null | null | not-recorded | not-recorded | null | [] | [] | Macaulay2: expanded functionality and improved efficiency · Historical workshop question | ## Question context
Currently, "kernel", "Hom", and several other commands have no options for "DegreeLimit". | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Macaulay2: expanded functionality and improved efficiency",
"url": "http://aimpl.org/macaulay2efie/1/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e1155de",
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"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
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"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:15.529Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"8b1c677d-7743-47c4-82c6-d0daeb289846","format_issues":null,"number":8616} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e1179ad | problem | aim-0df1011a6fa8a3c46e2c977b7e1179ad | Benchmarks | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Algebraic geometry. http://aimpl.org/macaulay2efie/ Not an author-supplied MSC code."
}
] | What "benchmark" calculations should be tracked in M2? What is the best way to keep track of these benchmarks (e.g., wiki, on the website, etc.)? | unassessed | {
"key": "aimpl",
"name": "AIM · Macaulay2: expanded functionality and improved efficiency",
"type": "workshop-problem-list",
"url": "http://aimpl.org/macaulay2efie/1/#0df1011a6fa8a3c46e2c977b7e1179ad",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
... | null | null | null | not-recorded | not-recorded | null | [] | [] | Macaulay2: expanded functionality and improved efficiency · Historical workshop question | ## Question context
By a "benchmark" we mean an interesting calculation (e.g., one occurring in someone's research) which pushes the capabilities of M2. These are especially useful if they come in a natural family, which we can compute up to some degree but not beyond at the moment. | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Macaulay2: expanded functionality and improved efficiency",
"url": "http://aimpl.org/macaulay2efie/1/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e1179ad",
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"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
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"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:15.534Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"2ba3e240-5227-4c7a-ad26-64de84bd5e52","format_issues":null,"number":8617} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e11a8b1 | problem | aim-0df1011a6fa8a3c46e2c977b7e11a8b1 | Quasi-convex subgroups | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | Let $G$ be a hyperbolic free-by-cyclic group and $H$ a non-quasiconvex subgroup of $G$. Then $H$ contains a subgroup $F$ which is a virtual fibre or a virtual semi-fibre of a free-by-cyclic subgroup of $G$. | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/1/#0df1011a6fa8a3c46e2c977b7e11a8b1",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | ## Question context
A subgroup $F$ of a group $G$ is a **semi-fibre** if there exists an injective non-surjective homomorphism $\varphi \colon F \to F$ such that $G$ is the HNN extension
$$
G = F \ast_{\varphi}.
$$
A subgroup $F$ of $G$ is a **virtual semi-fibre** if there exists a finite index subgroup $G'$ of $G... | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/1/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e11a8b1",
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"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
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"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.707Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"9d57a368-d4e6-43f9-b980-35eb649127d1","format_issues":null,"number":7451} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e11b770 | problem | aim-0df1011a6fa8a3c46e2c977b7e11b770 | Relatively hyperbolic case | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | If $G$ is a LERF relatively hyperbolic free-by-cyclic group which is not hyperbolic then $G$ is the fundamental group of a hyperbolic 3-manifold. | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/2/#0df1011a6fa8a3c46e2c977b7e11b770",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | ## Section context
A group $G$ is said to be **locally extendable residually finite (LERF)** if every finitely generated subgroup of $G$ is an intersection of finite index subgroups of $G$. | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/2/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e11b770",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.733Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"89b8dc40-5689-45f4-9b3c-03ed934bca37","format_issues":null,"number":7457} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e11da5c | problem | aim-0df1011a6fa8a3c46e2c977b7e11da5c | Hyperbolic case | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | If $G$ is a hyperbolic free-by-cyclic group with irreducible monodromy then $G$ is LERF if and only if the BNS invariant of every finite index subgroup of $G$ is symmetric. | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/2/#0df1011a6fa8a3c46e2c977b7e11da5c",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | ## Section context
A group $G$ is said to be **locally extendable residually finite (LERF)** if every finitely generated subgroup of $G$ is an intersection of finite index subgroups of $G$. | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/2/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e11da5c",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.738Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"1a13ecda-0122-4870-ab97-1e24aa94bb95","format_issues":null,"number":7458} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e11fac5 | problem | aim-0df1011a6fa8a3c46e2c977b7e11fac5 | Quasi-isometric and measure equivalence rigidity · Question 1 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | Let $G$ and $H$ be free-by-cyclic groups which are quasi-isometric. Then $G$ admits irreducible and atoroidal monodromy if and only if $H$ admits irreducible and atoroidal monodromy. | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/3/#0df1011a6fa8a3c46e2c977b7e11fac5",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Jean Pierre Mutanguha | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/3/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e11fac5",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.758Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"0fe791fe-dd75-4ec5-aedc-f76952783594","format_issues":null,"number":7462} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e12002d | problem | aim-0df1011a6fa8a3c46e2c977b7e12002d | Quasi-isometric and measure equivalence rigidity · Question 2 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | If a group $G$ is quasi-isometric to a free-by-cyclic group then is it true that $G$ is virtually free-by-cyclic? | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/3/#0df1011a6fa8a3c46e2c977b7e12002d",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
## Status note in the source
Suppose that $H$ is virtually RFRS and quasi-isometric to a free-by-cyclic group $G$. Then H is virtually free-by-cyclic. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Genevieve Walsh | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/3/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e12002d",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.762Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"5b33fdcc-21e0-46ab-9cbf-4e04f11790b5","format_issues":null,"number":7463} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e121342 | problem | aim-0df1011a6fa8a3c46e2c977b7e121342 | Quasi-isometric and measure equivalence rigidity · Question 3 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | Construct two hyperbolic irreducible free-by-cyclic groups which are not quasi-isometric. | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/3/#0df1011a6fa8a3c46e2c977b7e121342",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/3/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e121342",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.767Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"9b6d6b61-7a11-49bb-b45d-0c35035a6623","format_issues":null,"number":7464} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e122541 | problem | aim-0df1011a6fa8a3c46e2c977b7e122541 | Subgroup separability and finite quotients · Question 3 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | Construct a hyperbolic free-by-cyclic group which is LERF. | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/2/#0df1011a6fa8a3c46e2c977b7e122541",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | ## Section context
A group $G$ is said to be **locally extendable residually finite (LERF)** if every finitely generated subgroup of $G$ is an intersection of finite index subgroups of $G$. | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/2/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e122541",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.742Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"17c9386a-8d3b-4c98-873a-0588dab2d7cf","format_issues":null,"number":7459} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e123e5a | problem | aim-0df1011a6fa8a3c46e2c977b7e123e5a | Subgroups of free-by-cyclic groups · Question 2 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | What are the possible distortion functions for subgroups of free-by-cyclic groups? | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/1/#0df1011a6fa8a3c46e2c977b7e123e5a",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Naomi Andrew | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/1/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e123e5a",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.712Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"122d5195-2a6c-4c1b-b62e-8c1e80e9651f","format_issues":null,"number":7452} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e126148 | problem | aim-0df1011a6fa8a3c46e2c977b7e126148 | Subgroups of free-by-cyclic groups · Question 3 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | If $G$ is a hyperbolic free-by-cyclic group then does $G$ contain a closed surface subgroup? | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/1/#0df1011a6fa8a3c46e2c977b7e126148",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Yassine Guerch | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/1/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e126148",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.716Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"9a0f0c27-d5f9-498d-93e1-87a625ee41bc","format_issues":null,"number":7453} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e1263d5 | problem | aim-0df1011a6fa8a3c46e2c977b7e1263d5 | Effective coherence | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | Given a finite set $S$ of elements of a free-by-cyclic group $G$, algorithmically find a presentation of the sugroup of $G$ generated by $S$. | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/1/#0df1011a6fa8a3c46e2c977b7e1263d5",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Ilya Kapovich | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/1/",
"note": null,
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}
] | {
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.720Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"661e0b78-49d7-42f0-aac4-b7d482e53ef1","format_issues":null,"number":7454} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e127f24 | problem | aim-0df1011a6fa8a3c46e2c977b7e127f24 | $\ell^2$-torsion | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | If $G$ is a free-by-cyclic group with exponentially growing monodromy then it has non-vanishing $\ell^2$-torsion. | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/4/#0df1011a6fa8a3c46e2c977b7e127f24",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | ## Question context
Clay shows that $\ell^2$-torsion vanishes for free-by-cyclic groups with polynomially-growing monodromies \cite{MR3667215}. | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Matt Clay | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/4/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e127f24",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.783Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"ba5c1473-b8c7-498b-8e63-a887ae70308b","format_issues":null,"number":7468} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e129231 | problem | aim-0df1011a6fa8a3c46e2c977b7e129231 | Homological properties · Question 2 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | If $G$ is a free-by-cyclic group with exponentially growing monodromy then does it have non-vashing homology torsion growth? | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/4/#0df1011a6fa8a3c46e2c977b7e129231",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Sam Hughes | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/4/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e129231",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.788Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"0228a21f-2fdb-44ca-b2af-8694b5b80352","format_issues":null,"number":7469} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e12a2b4 | problem | aim-0df1011a6fa8a3c46e2c977b7e12a2b4 | Geometry of free-by-cyclic groups · Question 1 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | Characterise the free-by-cyclic groups which act geometrically on CAT(0) spaces. | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/5/#0df1011a6fa8a3c46e2c977b7e12a2b4",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/5/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e12a2b4",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.806Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"cd531784-f17f-40b6-85c9-c325a353e7ec","format_issues":null,"number":7473} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e12b340 | problem | aim-0df1011a6fa8a3c46e2c977b7e12b340 | Subgroups of free-by-cyclic groups · Question 5 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | Let $G$ be a hyperbolic free-by-cyclic groups. Which subgrups of $G$ admit Cannon--Thurston maps? | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/1/#0df1011a6fa8a3c46e2c977b7e12b340",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/1/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e12b340",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.725Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"1ffbf681-fbba-4452-a9e2-12c4170f020d","format_issues":null,"number":7455} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e12c66f | problem | aim-0df1011a6fa8a3c46e2c977b7e12c66f | Geometry of free-by-cyclic groups · Question 2 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | Let $F = F(a,b,c)$ be a free group of rank 3. Define an automorphism $\phi \in \mathrm{Aut}(F)$ such that
$$
\begin{split} \phi \colon F(a,b,c) &\to F(a,b,c) \\
a &\mapsto a \\
b &\mapsto ab \\
c &\mapsto bcb.
\end{split}
$$
Does $G = F \rtimes_{\phi} \mathbb{Z}$ act geometrically on a CAT(0) cube complex? | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/5/#0df1011a6fa8a3c46e2c977b7e12c66f",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Rylee Lyman | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/5/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e12c66f",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.810Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"fbe72c83-c26b-4775-9db7-cbb99181a7e9","format_issues":null,"number":7474} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e1301a3 | problem | aim-0df1011a6fa8a3c46e2c977b7e1301a3 | Geometry of free-by-cyclic groups · Question 3 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | What's the relationship between being CAT(0) and RFRS for free-by-cyclic groups? | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/5/#0df1011a6fa8a3c46e2c977b7e1301a3",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/5/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e1301a3",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.814Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"4f6ade26-3489-4b38-a852-2b73d3533dac","format_issues":null,"number":7475} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e1310b0 | problem | aim-0df1011a6fa8a3c46e2c977b7e1310b0 | Quasi-isometric and measure equivalence rigidity · Question 4 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | Let $F = F(a,b,c,d,e)$ be a free group of rank five. Define an automorphism $\phi \in \mathrm{Aut}(F)$ such that
$$
\begin{split} \phi \colon F(a,b,c,d,e) &\to F(a,b,c,d,e) \\
a &\mapsto b\\
b &\mapsto c\\
c &\mapsto ab\\
d &\mapsto ea \\
e &\mapsto ed
\end{split}
$$
Let $F'$ be the free factor of $F$ generated by $... | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/3/#0df1011a6fa8a3c46e2c977b7e1310b0",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Jean Pierre Mutanguha | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/3/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e1310b0",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.770Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"3605a866-63ed-4919-b380-842aeb6c828f","format_issues":null,"number":7465} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e135a12 | problem | aim-0df1011a6fa8a3c46e2c977b7e135a12 | Quasi-isometric and measure equivalence rigidity · Question 5 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | What are the measure equivalence classes of free-by-cyclic groups? | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/3/#0df1011a6fa8a3c46e2c977b7e135a12",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Yassine Guerch | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/3/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e135a12",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.775Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"f6e105c4-b62a-4aa4-b9f5-7c45b8a0457b","format_issues":null,"number":7466} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e13695c | problem | aim-0df1011a6fa8a3c46e2c977b7e13695c | Subgroups of free-by-cyclic groups · Question 6 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | Which subgroups of free-by-cyclic groups are Morse? | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/1/#0df1011a6fa8a3c46e2c977b7e13695c",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Ilya Kapovich | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/1/",
"note": null,
"sort_order": 0
}
] | {
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
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"created_at": "2026-09-08T03:32:15.935Z",
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"published_at": "2026-09-08T03:33:09.729Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"8c7737e2-82ee-4b4d-afb7-a391e25792df","format_issues":null,"number":7456} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e136d6e | problem | aim-0df1011a6fa8a3c46e2c977b7e136d6e | Rigidity properties of free-by-cyclic groups · Question 1 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | Find families of free-by-cyclic groups $G$ with $b_1(G) \geq 2$ where the BNS invariant has many components (up to the action of $\mathrm{Out}(G)$. | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/#0df1011a6fa8a3c46e2c977b7e136d6e",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Prob... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e136d6e",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.857Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"ea977712-9979-4021-b7d7-4718dc1d885f","format_issues":null,"number":7485} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e137a46 | problem | aim-0df1011a6fa8a3c46e2c977b7e137a46 | BNS invariants · Question 1 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | Let $G$ be a free-by-cyclic group and $F$ a component of the BNS invariant of $G$. When is it the case that the stretch factor functions $\lambda_{+}, \lambda_{-} \colon F \to \mathbb{R}$ agree on a convex subset of $F$? | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/6/#0df1011a6fa8a3c46e2c977b7e137a46",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | ## Section context
Let $G$ be a group and $X$ a Cayley graph of $G$ with respect to some finite generating set. Each character $\chi \colon G \to \mathbb{R}$ linearly extends to a $G$-equivariant map $\widetilde{\chi} \colon X \to \mathbb{R}.$ We define $X_{\chi}^{+}$ to be maximal subgraph of $X$ contained in $\widet... | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Sam Taylor | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/6/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e137a46",
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.818Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"2aadf8a6-15b9-45f8-8938-5cd4b08a31d3","format_issues":null,"number":7476} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e1387af | problem | aim-0df1011a6fa8a3c46e2c977b7e1387af | BNS invariants · Question 2 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | Find families of examples of free-by-cyclic groups $G$ such that $b_1(G) > 2$ and the BNS invariant of $G$ has many components (up to the action of $\mathrm{Out}(G)$). | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/6/#0df1011a6fa8a3c46e2c977b7e1387af",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | ## Section context
Let $G$ be a group and $X$ a Cayley graph of $G$ with respect to some finite generating set. Each character $\chi \colon G \to \mathbb{R}$ linearly extends to a $G$-equivariant map $\widetilde{\chi} \colon X \to \mathbb{R}.$ We define $X_{\chi}^{+}$ to be maximal subgraph of $X$ contained in $\widet... | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/6/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e1387af",
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"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.823Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"46214266-3583-4d15-8749-92adecbcbfc7","format_issues":null,"number":7477} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e13941e | problem | aim-0df1011a6fa8a3c46e2c977b7e13941e | BNS invariants · Question 3 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | If $P$ is a polytope in $\mathbb{R}^n$ with $n \geq 2$ with a marking on its top dimensional faces, determine whether the cone over the marked faces of $P$ corresponds to a BNS invariant of a (free-by-cyclic) group. | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/6/#0df1011a6fa8a3c46e2c977b7e13941e",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | ## Section context
Let $G$ be a group and $X$ a Cayley graph of $G$ with respect to some finite generating set. Each character $\chi \colon G \to \mathbb{R}$ linearly extends to a $G$-equivariant map $\widetilde{\chi} \colon X \to \mathbb{R}.$ We define $X_{\chi}^{+}$ to be maximal subgraph of $X$ contained in $\widet... | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Rylee Lyman | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/6/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e13941e",
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"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.827Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"50e677ea-2587-41d3-96c4-58677c2c911e","format_issues":null,"number":7478} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e13aec4 | problem | aim-0df1011a6fa8a3c46e2c977b7e13aec4 | Quasi-isometric and measure equivalence rigidity · Question 6 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | Let $G$ and $H$ be relatively hyperbolic non-hyperbolic free-by-cyclic groups with a trivial JSJ decomposition. If $G$ and $H$ are quasi-isometric then they are commensurable. | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/3/#0df1011a6fa8a3c46e2c977b7e13aec4",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Chris Leininger | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/3/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e13aec4",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.779Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"d2638caf-c2d3-43d3-864f-38b71d303f0f","format_issues":null,"number":7467} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e13c7bc | problem | aim-0df1011a6fa8a3c46e2c977b7e13c7bc | Miscellaneous · Question 1 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | If $G$ is a free-by-cyclic group then $\mathrm{Out}(G)$ is of type $VF$. | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/7/#0df1011a6fa8a3c46e2c977b7e13c7bc",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | ## Question context
A group $G$ is said to be of type $VF$ if there exists a finite index subgroup $G'$ of $G$ which admits a finite classifying space. | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Naomi Andrew | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/7/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e13c7bc",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.832Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"2d17ad88-3ed0-4f4c-b1a8-47cc7d1cff9b","format_issues":null,"number":7479} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e13d80b | problem | aim-0df1011a6fa8a3c46e2c977b7e13d80b | Miscellaneous · Question 2 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | Solve the subgroup membership problem for free-by-cyclic groups. | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/7/#0df1011a6fa8a3c46e2c977b7e13d80b",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/7/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e13d80b",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.836Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"0c579abf-f7eb-48dc-a568-35a346766500","format_issues":null,"number":7480} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e14286a | problem | aim-0df1011a6fa8a3c46e2c977b7e14286a | Congruence subgroup property | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | Let $Q$ be a finite quotient of $\mathrm{Out}(F_n)$ for $n > 2$. Does there exist a finite index characteristic subgroup $K$ of $F_n$ such that the quotient $\mathrm{Out}(F_n) \twoheadrightarrow Q$ factors the quotient $\mathrm{Out}(F_n) \twoheadrightarrow \mathrm{Out}(F_n /K)$? | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/2/#0df1011a6fa8a3c46e2c977b7e14286a",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | ## Section context
A group $G$ is said to be **locally extendable residually finite (LERF)** if every finitely generated subgroup of $G$ is an intersection of finite index subgroups of $G$. | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Tam Cheetham-West | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/2/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e14286a",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.746Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"b3e43d6d-516d-4227-8e40-2e4cdc7e8e97","format_issues":null,"number":7460} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e145f0c | problem | aim-0df1011a6fa8a3c46e2c977b7e145f0c | Profinite invariants of free-by-cyclic groups | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | Which properties of free-by-cyclic groups are invariants of the profinite completion? How does the BNS invarian behave under profinite isomorphism of free-by-cyclic groups? | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/2/#0df1011a6fa8a3c46e2c977b7e145f0c",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | ## Section context
A group $G$ is said to be **locally extendable residually finite (LERF)** if every finitely generated subgroup of $G$ is an intersection of finite index subgroups of $G$. | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"1f65790c-3f0a-4849-a09a-a6238501f80e","format_issues":null,"number":7461} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e14682f | problem | aim-0df1011a6fa8a3c46e2c977b7e14682f | Homological properties · Question 3 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | Let $G$ be a non-geometric free-by-cyclic group and $A$ a finitely generated abelian group. Does there exist a finite index subgroup $G'$ of $G$ such that $A$ is isomorphic to a direct summand of the abelianisation of $G'$? | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
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"url": "http://aimpl.org/freebycyclic/4/#0df1011a6fa8a3c46e2c977b7e14682f",
"citation": null,
"doi": null,
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"license": "Editorially moderated; per-list terms",
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The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Tam Cheetham-West | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/4/",
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"published_at": "2026-09-08T03:33:09.792Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"4b0c0796-5877-4722-93d8-39a6cf13f170","format_issues":null,"number":7470} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e148009 | problem | aim-0df1011a6fa8a3c46e2c977b7e148009 | Miscellaneous · Question 3 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | Are free-by-cyclic groups linear? When do they embed in $\mathrm{SL}(2, \mathbb{C})$? | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/7/#0df1011a6fa8a3c46e2c977b7e148009",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Sam Hughes | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/7/",
"note": null,
"sort_order": 0
}
] | {
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
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"created_at": "2026-09-08T03:32:15.935Z",
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"published_at": "2026-09-08T03:33:09.840Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"799db8b9-9cf6-4d1c-bc74-32fba8ebeca0","format_issues":null,"number":7481} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e1483d4 | problem | aim-0df1011a6fa8a3c46e2c977b7e1483d4 | Miscellaneous · Question 4 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | Every outer automorphism $\phi \in \mathrm{Out}(F_n)$ admits a poset $P$ of attracting laminations. What is the length of the longest chain in $P$? Is the length an invariant of $G$? | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/7/#0df1011a6fa8a3c46e2c977b7e1483d4",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Jean Pierre Mutanguha | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/7/",
"note": null,
"sort_order": 0
}
] | {
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
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"created_at": "2026-09-08T03:32:15.935Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"14525737-ee8c-4c24-bb38-df7e229a7df0","format_issues":null,"number":7482} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e14fbb9 | problem | aim-0df1011a6fa8a3c46e2c977b7e14fbb9 | RFRS | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | Characterise the non-hyperbolic free-by-cyclic groups which are virtually RFRS. | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/4/#0df1011a6fa8a3c46e2c977b7e14fbb9",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | ## Question context
A group $G$ is **residually finite rationally solvable (RFRS)** if there exists a non-ascending residual chain $(H_i)_{i \in \mathbb{N}}$ of finite index normal subgroups $N_i \trianglelefteq G$ with $H_0 = G$, such that $\mathrm{ker}\, \alpha_i \leq H_{i+1}$ for every $i$, where $\alpha_i \colon H... | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/4/",
"note": null,
"sort_order": 0
}
] | {
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
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"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.797Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"30d781b3-f502-43a9-a3bc-b6f3acbc34e5","format_issues":null,"number":7471} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e151001 | problem | aim-0df1011a6fa8a3c46e2c977b7e151001 | Homological properties · Question 5 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | Are all free-by-cyclic groups virtually (residually torsion-free nilpotent)? | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/4/#0df1011a6fa8a3c46e2c977b7e151001",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Sam Hughes | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/4/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e151001",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.801Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"88af5ebc-ed43-40e6-8b23-5a49738742c0","format_issues":null,"number":7472} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e1534b2 | problem | aim-0df1011a6fa8a3c46e2c977b7e1534b2 | Miscellaneous · Question 5 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | Develop a fibred face theory for four-manifolds which fibre over the circle with fibers handlebodies or connect sums of $\mathbb{S}^2 \times \mathbb{S}^1$. | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/7/#0df1011a6fa8a3c46e2c977b7e1534b2",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Edgar Bering | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/7/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e1534b2",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.848Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"5fd0b898-325f-407a-9ad5-d4956087e7b8","format_issues":null,"number":7483} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e15433d | problem | aim-0df1011a6fa8a3c46e2c977b7e15433d | Miscellaneous · Question 6 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "20F",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/freebycyclic/ Not an author-supplied MSC code."
}
] | Does there exist an analogue of pseudo-Anosov maps for homeomorphisms of handlebodies or connect sums of $\mathbb{S}^2 \times \mathbb{S}^1$? | unassessed | {
"key": "aimpl",
"name": "AIM · Rigidity properties of free-by-cyclic groups",
"type": "workshop-problem-list",
"url": "http://aimpl.org/freebycyclic/7/#0df1011a6fa8a3c46e2c977b7e15433d",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Rigidity properties of free-by-cyclic groups · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Riley Lyman, Ilya Kapovich | null | null | null | [
{
"kind": "website",
"citation": "Rigidity properties of free-by-cyclic groups",
"url": "http://aimpl.org/freebycyclic/7/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e15433d",
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"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.853Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"b423f46d-818c-48eb-ad4d-c40ee8d2c059","format_issues":null,"number":7484} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e157383 | problem | aim-0df1011a6fa8a3c46e2c977b7e157383 | Obtain cancellations in additive twists of GL(3) Fourier coefficients | {
"main": "math",
"sub": "number theory",
"slug": "number-theory",
"name": "Number theory",
"original_discipline": "mathematics"
} | [] | [
{
"code": "11",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Number theory. http://aimpl.org/deltasubconvex2/ Not an author-supplied MSC code."
}
] | Let $\pi$ be a GL(3) Hecke--Maass cusp form with the n-th Fourier coefficient $\lambda_\pi(1,n)$. For $\alpha\in\mathbb{R}$, prove a bound of the form
$$ \sum_{n\ll N} \lambda_\pi(1,n) e(n\alpha) \ll_\pi N^{1-\delta}, $$
for some $\delta>0$ using a delta method. Aim to improve upon Miller's bound. | unassessed | {
"key": "aimpl",
"name": "AIM · Delta symbols and the subconvexity problem",
"type": "workshop-problem-list",
"url": "http://aimpl.org/deltasubconvex2/1/#0df1011a6fa8a3c46e2c977b7e157383",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "P... | null | null | null | not-recorded | not-recorded | null | [] | [] | Delta symbols and the subconvexity problem · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Matthew Young | null | null | null | [
{
"kind": "website",
"citation": "Delta symbols and the subconvexity problem",
"url": "http://aimpl.org/deltasubconvex2/1/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e157383",
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"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.861Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"da697084-0d13-4765-ae7e-ab55bb39ff01","format_issues":null,"number":7486} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e159aec | problem | aim-0df1011a6fa8a3c46e2c977b7e159aec | Shifted convolution sum via various delta methods | {
"main": "math",
"sub": "number theory",
"slug": "number-theory",
"name": "Number theory",
"original_discipline": "mathematics"
} | [] | [
{
"code": "11",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Number theory. http://aimpl.org/deltasubconvex2/ Not an author-supplied MSC code."
}
] | For a holomorphic or a Hecke--Maass cusp form $f$ with the nth Fourier coefficient $\lambda_f(n)$, obtain cancellations in the summation
$$ \sum_{n\leq N} \lambda_f(n)\lambda_f(n+1), $$
via
- Duke-Friedlander-Iwaniec's delta method
- Trivial delta method
- GL(2) Petersson trace formula as a delta method
- GL(... | unassessed | {
"key": "aimpl",
"name": "AIM · Delta symbols and the subconvexity problem",
"type": "workshop-problem-list",
"url": "http://aimpl.org/deltasubconvex2/1/#0df1011a6fa8a3c46e2c977b7e159aec",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "P... | null | null | null | not-recorded | not-recorded | null | [] | [] | Delta symbols and the subconvexity problem · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Roman Holowinsky | null | null | null | [
{
"kind": "website",
"citation": "Delta symbols and the subconvexity problem",
"url": "http://aimpl.org/deltasubconvex2/1/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e159aec",
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1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e15c1fa | problem | aim-0df1011a6fa8a3c46e2c977b7e15c1fa | Level aspect subconvexity for GL(2) | {
"main": "math",
"sub": "number theory",
"slug": "number-theory",
"name": "Number theory",
"original_discipline": "mathematics"
} | [] | [
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"evidence": "Editorial mapping of AIMPL source category: Number theory. http://aimpl.org/deltasubconvex2/ Not an author-supplied MSC code."
}
] | Use a delta method to obtain level aspect subconvexity for GL(2) L-functions. | unassessed | {
"key": "aimpl",
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"url": "http://aimpl.org/deltasubconvex2/1/#0df1011a6fa8a3c46e2c977b7e15c1fa",
"citation": null,
"doi": null,
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The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Roman Holowinsky | null | null | null | [
{
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} | 2026-10-10T16:07:49.246Z | {"database_id":"5d2161aa-9026-4722-bcdb-bdf356a88fe5","format_issues":null,"number":7488} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e15d9e4 | problem | aim-0df1011a6fa8a3c46e2c977b7e15d9e4 | Relationship between Trivial delta method and Nelson's Kernel method | {
"main": "math",
"sub": "number theory",
"slug": "number-theory",
"name": "Number theory",
"original_discipline": "mathematics"
} | [] | [
{
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"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Number theory. http://aimpl.org/deltasubconvex2/ Not an author-supplied MSC code."
}
] | Let $f$ be a holomorphic or Hecke--Maass cusp form of level $1$ and $\chi$ be a Dirichlet character of level $p$. For fixed $f$, a level aspect Burgess-type bound for $L(f\times\chi, 1/2)$ can be obtained by (among many others) these two methods:
- Trivial delta method,
- Using the Kernel $K(z,w) = \sum_{\gamma... | unassessed | {
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The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Paul Nelson | null | null | null | [
{
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} | 2026-10-10T16:07:49.246Z | {"database_id":"6a868c27-be67-4e94-a7fe-3448ea1b7cba","format_issues":null,"number":7489} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e15f10a | problem | aim-0df1011a6fa8a3c46e2c977b7e15f10a | Character sums appearing in the works of Nelson, and Sharma | {
"main": "math",
"sub": "number theory",
"slug": "number-theory",
"name": "Number theory",
"original_discipline": "mathematics"
} | [] | [
{
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"evidence": "Editorial mapping of AIMPL source category: Number theory. http://aimpl.org/deltasubconvex2/ Not an author-supplied MSC code."
}
] | Relate or compare the exponential sums appearing in the work of Paul Nelson [cite], and the work of Prahlad Sharma [cite] in the proof for level aspect subconvexity bound for $\rm GL(1)$ twists of $\rm GL(3)\times GL(2)$ $L$-functions. | unassessed | {
"key": "aimpl",
"name": "AIM · Delta symbols and the subconvexity problem",
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"url": "http://aimpl.org/deltasubconvex2/1/#0df1011a6fa8a3c46e2c977b7e15f10a",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "P... | null | null | null | not-recorded | not-recorded | null | [] | [] | Delta symbols and the subconvexity problem · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Paul Nelson | null | null | null | [
{
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] | {
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"published_at": "2026-09-08T03:33:09.884Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"1d854422-cbc9-4fb3-a76d-444568fbbd90","format_issues":null,"number":7490} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e162644 | problem | aim-0df1011a6fa8a3c46e2c977b7e162644 | Subconvexity bound for trace function twists | {
"main": "math",
"sub": "number theory",
"slug": "number-theory",
"name": "Number theory",
"original_discipline": "mathematics"
} | [] | [
{
"code": "11",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Number theory. http://aimpl.org/deltasubconvex2/ Not an author-supplied MSC code."
}
] | Subconvexity bounds for $\rm GL(1)$ twists of a fixed $\rm GL(2)\times GL(2)$ $L$-function has been proved using a delta symbol by C. Raju [cite] in the archimedean aspect, and by A. Ghosh [cite] in the level aspect. Can we generalize these techniques to replace the $\rm GL(1)$ twist by a trace function, or an appropri... | unassessed | {
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The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Philippe Michel | null | null | null | [
{
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] | {
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
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"published_at": "2026-09-08T03:33:09.888Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"1235d938-389f-4b08-bb76-47c2db5d67e8","format_issues":null,"number":7491} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e16381f | problem | aim-0df1011a6fa8a3c46e2c977b7e16381f | Subconvexity for $\rm GL(3)\times GL(1)$ via averaging over a family | {
"main": "math",
"sub": "number theory",
"slug": "number-theory",
"name": "Number theory",
"original_discipline": "mathematics"
} | [] | [
{
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"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Number theory. http://aimpl.org/deltasubconvex2/ Not an author-supplied MSC code."
}
] | Can we obtain a subconvexity bound by averaging over a family, e.g. by bounding
$$\sum_{\chi\bmod M} |L(1/2, \chi)|^2. $$ | unassessed | {
"key": "aimpl",
"name": "AIM · Delta symbols and the subconvexity problem",
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"url": "http://aimpl.org/deltasubconvex2/1/#0df1011a6fa8a3c46e2c977b7e16381f",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "P... | null | null | null | not-recorded | not-recorded | null | [] | [] | Delta symbols and the subconvexity problem · Historical workshop question | ## Question context
Let $\pi$ be a fixed Hecke-Maass cusp form for $\rm SL_3(\mathbb{Z})$, and $\chi$ be a character of level $M$. Munshi [cite] used Petersson trace formula as a delta method to obtain a subconvexity bound for $L(1/2, \pi\times\chi)$ as $M$ varies. | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Rizwan Khan | null | null | null | [
{
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] | {
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
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"published_at": "2026-09-08T03:33:09.893Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"3620c87f-3b4c-4bec-8dd0-db24ccf1f5f2","format_issues":null,"number":7492} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e1665be | problem | aim-0df1011a6fa8a3c46e2c977b7e1665be | Application to Quantum Unique Ergodicity | {
"main": "math",
"sub": "number theory",
"slug": "number-theory",
"name": "Number theory",
"original_discipline": "mathematics"
} | [] | [
{
"code": "11",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Number theory. http://aimpl.org/deltasubconvex2/ Not an author-supplied MSC code."
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] | Obtaining a bound of the form
$$ \sum_{f,g \in \mathcal{B}_k} L(1/2, sym^2f) L(1/2, sym^2g)\big|\sum_{n\leq k} \lambda_f(n)\lambda_g(n+h)\big|^2 \ll k^{4-\delta},$$
for $|h|\ll 1$ and some $\delta>0$ would imply the result of Holowinsky and Soundararajan (conditionally on non-negativity of the central values $L(1/2, sy... | unassessed | {
"key": "aimpl",
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"url": "http://aimpl.org/deltasubconvex2/1/#0df1011a6fa8a3c46e2c977b7e1665be",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "P... | null | null | null | not-recorded | not-recorded | null | [] | [] | Delta symbols and the subconvexity problem · Historical workshop question | ## Question context
Holowinsky and Soundararajan proved the Quantum Unique Ergodicity conjecture in the case of holomorphic Hecke eigenforms by combining two different approaches: By proving a non-trivial bound on certain shifted convolution sum, and by proving (weak) subconvexity bound for certain $L$-functions. | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Roman Holowinsky | null | null | null | [
{
"kind": "website",
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"url": "http://aimpl.org/deltasubconvex2/1/",
"note": null,
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
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"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.897Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"01cd87f5-6fe9-430f-ab1e-381249c6232c","format_issues":null,"number":7493} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e1681d0 | problem | aim-0df1011a6fa8a3c46e2c977b7e1681d0 | $GL(3)$ Kuznetsov trace formula in the level aspect | {
"main": "math",
"sub": "number theory",
"slug": "number-theory",
"name": "Number theory",
"original_discipline": "mathematics"
} | [] | [
{
"code": "11",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Number theory. http://aimpl.org/deltasubconvex2/ Not an author-supplied MSC code."
}
] | Develop a Kuznetsov trace formula for automorphic forms for the group $\Gamma_0(N) = \left\lbrace \begin{pmatrix} \star & \star & \star \\ \star & \star & \star \\ 0 & 0 & \star \end{pmatrix} \bmod N \right\rbrace$ for any integer $N\geq1$.
For the purpose of applications, develop a Kuznetsov trace formula for automor... | unassessed | {
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"url": "http://aimpl.org/deltasubconvex2/1/#0df1011a6fa8a3c46e2c977b7e1681d0",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "P... | null | null | null | not-recorded | not-recorded | null | [] | [] | Delta symbols and the subconvexity problem · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Jack Buttcane | null | null | null | [
{
"kind": "website",
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"url": "http://aimpl.org/deltasubconvex2/1/",
"note": null,
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
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"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.902Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"f7bf5d1f-f684-4d40-9268-981b3e6d0d16","format_issues":null,"number":7494} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e168fa9 | problem | aim-0df1011a6fa8a3c46e2c977b7e168fa9 | Subconvexity bound for Rankin-Selberg $L$-functions | {
"main": "math",
"sub": "number theory",
"slug": "number-theory",
"name": "Number theory",
"original_discipline": "mathematics"
} | [] | [
{
"code": "11",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Number theory. http://aimpl.org/deltasubconvex2/ Not an author-supplied MSC code."
}
] | Obtain a subconvexity bound for a $\rm GL_n\times GL_m$ Rankin--Selberg $L$-function when $n$ and $m$ are not coprime.
The simplest first cases would be obtaining a subconvexity bound (in any aspect) for a $\rm GL_4\times GL_2$ $L$-function or a $\rm GL_3\times GL_3$ $L$-function. | unassessed | {
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"url": "http://aimpl.org/deltasubconvex2/1/#0df1011a6fa8a3c46e2c977b7e168fa9",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "P... | null | null | null | not-recorded | not-recorded | null | [] | [] | Delta symbols and the subconvexity problem · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Paul Nelson | null | null | null | [
{
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
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"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.907Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"e47a47ab-c7c4-4994-a3f7-09a0dadc7d9b","format_issues":null,"number":7495} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e1719e0 | problem | aim-0df1011a6fa8a3c46e2c977b7e1719e0 | Cancellations in additive twists on average | {
"main": "math",
"sub": "number theory",
"slug": "number-theory",
"name": "Number theory",
"original_discipline": "mathematics"
} | [] | [
{
"code": "11",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Number theory. http://aimpl.org/deltasubconvex2/ Not an author-supplied MSC code."
}
] | Let $\alpha\in\mathbb{R}$ and $f_j$ be a Maass form for $\rm SL(4, \mathbb{Z})$ with eigenvalue $t_j$ and Fourier coefficients $\{\lambda_j(1,1,n)\}_{n\geq1}$. For parameters $T$ and $N$, prove a non-trivial bound for the averaged sum
$$ \sum_{t_j\sim T} \bigg|\sum_{n\leq N}\lambda_j(1,1,n)e(n\alpha) \bigg|^2. $$
If $... | unassessed | {
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"url": "http://aimpl.org/deltasubconvex2/1/#0df1011a6fa8a3c46e2c977b7e1719e0",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "P... | null | null | null | not-recorded | not-recorded | null | [] | [] | Delta symbols and the subconvexity problem · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Xiaoqing Li | null | null | null | [
{
"kind": "website",
"citation": "Delta symbols and the subconvexity problem",
"url": "http://aimpl.org/deltasubconvex2/1/",
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] | {
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
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"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.911Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"17006e6d-836e-4274-af5f-d54db15d0eb1","format_issues":null,"number":7496} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e172a55 | problem | aim-0df1011a6fa8a3c46e2c977b7e172a55 | Asymptotic for second moment of $\rm GL_2\times GL_2$ in level aspect | {
"main": "math",
"sub": "number theory",
"slug": "number-theory",
"name": "Number theory",
"original_discipline": "mathematics"
} | [] | [
{
"code": "11",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Number theory. http://aimpl.org/deltasubconvex2/ Not an author-supplied MSC code."
}
] | Let $\mathcal{B}_k(p)$ be a basis for holomorphic or Hecke-Maass forms for $\Gamma_0(p)\subset SL_2(\mathbb{Z})$ of weight $k$. Obtain an asymptotic with a power saving error term for the second moment
$$\sum_{f\in\mathcal{B}_k(p)}\sum_{g\in\mathcal{B}_\ell(q)} |L(1/2, f\times g)|^2, $$
as the level $p$ and $q$ become ... | unassessed | {
"key": "aimpl",
"name": "AIM · Delta symbols and the subconvexity problem",
"type": "workshop-problem-list",
"url": "http://aimpl.org/deltasubconvex2/1/#0df1011a6fa8a3c46e2c977b7e172a55",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "P... | null | null | null | not-recorded | not-recorded | null | [] | [] | Delta symbols and the subconvexity problem · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Roman Holowinsky | null | null | null | [
{
"kind": "website",
"citation": "Delta symbols and the subconvexity problem",
"url": "http://aimpl.org/deltasubconvex2/1/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e172a55",
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"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.916Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"2d2e30cf-845b-4638-84dc-a26cd6efefb7","format_issues":null,"number":7497} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e173f72 | problem | aim-0df1011a6fa8a3c46e2c977b7e173f72 | Subconvexity bound for $\rm GL_3\times GL_2$ in level aspect | {
"main": "math",
"sub": "number theory",
"slug": "number-theory",
"name": "Number theory",
"original_discipline": "mathematics"
} | [] | [
{
"code": "11",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Number theory. http://aimpl.org/deltasubconvex2/ Not an author-supplied MSC code."
}
] | Let $\pi$ be a fixed Hecke-Maass cusp form for $SL_3(\mathbb{Z})$ and $f$ be a holomorphic for Hecke Maass cusp form for $\Gamma_0(M)$. Obtain a subconvexity bound estimate for $L(1/2, \pi\times f)$ as $M$ grows. | unassessed | {
"key": "aimpl",
"name": "AIM · Delta symbols and the subconvexity problem",
"type": "workshop-problem-list",
"url": "http://aimpl.org/deltasubconvex2/1/#0df1011a6fa8a3c46e2c977b7e173f72",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "P... | null | null | null | not-recorded | not-recorded | null | [] | [] | Delta symbols and the subconvexity problem · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Ritabrata Munshi | null | null | null | [
{
"kind": "website",
"citation": "Delta symbols and the subconvexity problem",
"url": "http://aimpl.org/deltasubconvex2/1/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e173f72",
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"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.920Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"f136f534-0188-49c0-a9de-03cf68c13da4","format_issues":null,"number":7498} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e175a64 | problem | aim-0df1011a6fa8a3c46e2c977b7e175a64 | Shifted convolution sum for $\rm GL_3\times GL_2$ in level aspect | {
"main": "math",
"sub": "number theory",
"slug": "number-theory",
"name": "Number theory",
"original_discipline": "mathematics"
} | [] | [
{
"code": "11",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Number theory. http://aimpl.org/deltasubconvex2/ Not an author-supplied MSC code."
}
] | Let $\pi$ be a fixed Hecke-Maass cusp form for $SL_3(\mathbb{Z})$ with Fourier coefficients $\{\lambda_\pi(r,n)\}$ and $f$ be a holomorphic for Hecke Maass cusp form for $\Gamma_0(M)$ with Fourier coefficients $\{\lambda_f(n)\}$. Obtain a non-trivial bound for the shifted sum,
\begin{equation*}
\sum_{n<N}\lambda_\pi(r,... | unassessed | {
"key": "aimpl",
"name": "AIM · Delta symbols and the subconvexity problem",
"type": "workshop-problem-list",
"url": "http://aimpl.org/deltasubconvex2/1/#0df1011a6fa8a3c46e2c977b7e175a64",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "P... | null | null | null | not-recorded | not-recorded | null | [] | [] | Delta symbols and the subconvexity problem · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Roman Holowinsky | null | null | null | [
{
"kind": "website",
"citation": "Delta symbols and the subconvexity problem",
"url": "http://aimpl.org/deltasubconvex2/1/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e175a64",
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"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.925Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"1166bcd2-2728-457a-ba1c-982579da7ff4","format_issues":null,"number":7499} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e179d2e | problem | aim-0df1011a6fa8a3c46e2c977b7e179d2e | $\rm GL_3$ Kuznetsov trace formula as a $\delta$-method | {
"main": "math",
"sub": "number theory",
"slug": "number-theory",
"name": "Number theory",
"original_discipline": "mathematics"
} | [] | [
{
"code": "11",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Number theory. http://aimpl.org/deltasubconvex2/ Not an author-supplied MSC code."
}
] | Obtain $t$-aspect subconvexity for a $\rm GL_2$ $L$-function by using $\rm GL_3$ Kuznetsov trace formula as a $\delta$-method. | unassessed | {
"key": "aimpl",
"name": "AIM · Delta symbols and the subconvexity problem",
"type": "workshop-problem-list",
"url": "http://aimpl.org/deltasubconvex2/1/#0df1011a6fa8a3c46e2c977b7e179d2e",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "P... | null | null | null | not-recorded | not-recorded | null | [] | [] | Delta symbols and the subconvexity problem · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Ritabrata Munshi | null | null | null | [
{
"kind": "website",
"citation": "Delta symbols and the subconvexity problem",
"url": "http://aimpl.org/deltasubconvex2/1/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e179d2e",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.929Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"95e8b176-301e-4bad-bcd1-fca57ca5190e","format_issues":null,"number":7500} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e179db0 | problem | aim-0df1011a6fa8a3c46e2c977b7e179db0 | Delta method over Number fields | {
"main": "math",
"sub": "number theory",
"slug": "number-theory",
"name": "Number theory",
"original_discipline": "mathematics"
} | [] | [
{
"code": "11",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Number theory. http://aimpl.org/deltasubconvex2/ Not an author-supplied MSC code."
}
] | Design a delta symbol method over number fields in order to generalize the classical techniques to the number fields setting. | unassessed | {
"key": "aimpl",
"name": "AIM · Delta symbols and the subconvexity problem",
"type": "workshop-problem-list",
"url": "http://aimpl.org/deltasubconvex2/1/#0df1011a6fa8a3c46e2c977b7e179db0",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "P... | null | null | null | not-recorded | not-recorded | null | [] | [] | Delta symbols and the subconvexity problem · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Matthew Young | null | null | null | [
{
"kind": "website",
"citation": "Delta symbols and the subconvexity problem",
"url": "http://aimpl.org/deltasubconvex2/1/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e179db0",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.933Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"3af96114-8bb9-4147-858a-72cc221d0501","format_issues":null,"number":7501} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e17a4a4 | problem | aim-0df1011a6fa8a3c46e2c977b7e17a4a4 | Strong hybrid bounds for $L(1/2, f\times \chi)$ | {
"main": "math",
"sub": "number theory",
"slug": "number-theory",
"name": "Number theory",
"original_discipline": "mathematics"
} | [] | [
{
"code": "11",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Number theory. http://aimpl.org/deltasubconvex2/ Not an author-supplied MSC code."
}
] | Prove strong hybrid bounds for other ranges of $p$ and $q$. | unassessed | {
"key": "aimpl",
"name": "AIM · Delta symbols and the subconvexity problem",
"type": "workshop-problem-list",
"url": "http://aimpl.org/deltasubconvex2/1/#0df1011a6fa8a3c46e2c977b7e17a4a4",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "P... | null | null | null | not-recorded | not-recorded | null | [] | [] | Delta symbols and the subconvexity problem · Historical workshop question | ## Question context
Let $f$ be a holomorphic or Hecke-Maass cusp form of level $p$, and $\chi$ be a primitive Dirchlet character of level $q$. Conrey--Iwaniec obtained a Weyl type subconvexity bound for $L(1/2, f\times\chi)$ when $p=q$, while Khan has obtained a Burgess-type bound when $p\asymp q$, and Yang has proved... | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Matthew Young | null | null | null | [
{
"kind": "website",
"citation": "Delta symbols and the subconvexity problem",
"url": "http://aimpl.org/deltasubconvex2/1/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e17a4a4",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.938Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"51ac9575-4ae8-4485-a330-be76823b9488","format_issues":null,"number":7502} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e17cd7f | problem | aim-0df1011a6fa8a3c46e2c977b7e17cd7f | Subconvexity bound $\rm GL_2$ in the conductor dropping' case | {
"main": "math",
"sub": "number theory",
"slug": "number-theory",
"name": "Number theory",
"original_discipline": "mathematics"
} | [] | [
{
"code": "11",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Number theory. http://aimpl.org/deltasubconvex2/ Not an author-supplied MSC code."
}
] | Let $f$ be a holomorphic or Hecke-Maass cusp form for $\rm GL_2$. Use a $\delta$-method to prove the following subconvexity bounds for the following $L$-functions:
- Level aspect subconvexity bound for $L(1/2, f)$ where $f$ has level $p$ prime (and may have non-trivial nebentypus).
- Subconvexity for $L(1/2+it_... | unassessed | {
"key": "aimpl",
"name": "AIM · Delta symbols and the subconvexity problem",
"type": "workshop-problem-list",
"url": "http://aimpl.org/deltasubconvex2/1/#0df1011a6fa8a3c46e2c977b7e17cd7f",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "P... | null | null | null | not-recorded | not-recorded | null | [] | [] | Delta symbols and the subconvexity problem · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Matthew Young | null | null | null | [
{
"kind": "website",
"citation": "Delta symbols and the subconvexity problem",
"url": "http://aimpl.org/deltasubconvex2/1/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e17cd7f",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.942Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"df107b16-1a8c-4295-a7e3-2507dc3b428c","format_issues":null,"number":7503} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e17e4d8 | problem | aim-0df1011a6fa8a3c46e2c977b7e17e4d8 | Bound for short second moment of $\rm GL_4$ $L$-functions | {
"main": "math",
"sub": "number theory",
"slug": "number-theory",
"name": "Number theory",
"original_discipline": "mathematics"
} | [] | [
{
"code": "11",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Number theory. http://aimpl.org/deltasubconvex2/ Not an author-supplied MSC code."
}
] | Let $f$ be a fixed Hecke-Maass cusp form for $\rm GL_4(\mathbb{Z})$, $T$ and $\Delta$ be parameters. Prove a non-trivial bound for
$$\int_T^{T+\Delta} |L(\frac12+it, f)|^2 dt, $$
for $\Delta = T^\delta$ with some $\delta<1$. | unassessed | {
"key": "aimpl",
"name": "AIM · Delta symbols and the subconvexity problem",
"type": "workshop-problem-list",
"url": "http://aimpl.org/deltasubconvex2/1/#0df1011a6fa8a3c46e2c977b7e17e4d8",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "P... | null | null | null | not-recorded | not-recorded | null | [] | [] | Delta symbols and the subconvexity problem · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Delta symbols and the subconvexity problem",
"url": "http://aimpl.org/deltasubconvex2/1/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e17e4d8",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.947Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"709fa46e-ceb4-47e9-8965-762906dbcb4a","format_issues":null,"number":7504} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e17ee5d | problem | aim-0df1011a6fa8a3c46e2c977b7e17ee5d | Applications of trace formula towards point counting | {
"main": "math",
"sub": "number theory",
"slug": "number-theory",
"name": "Number theory",
"original_discipline": "mathematics"
} | [] | [
{
"code": "11",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Number theory. http://aimpl.org/deltasubconvex2/ Not an author-supplied MSC code."
}
] | Various circle methods and $\delta$-methods have been successfully used to count points on varieties. Could one use Petersson or Kuznetsov trace formula as a $\delta$-method to count point on varieties? | unassessed | {
"key": "aimpl",
"name": "AIM · Delta symbols and the subconvexity problem",
"type": "workshop-problem-list",
"url": "http://aimpl.org/deltasubconvex2/1/#0df1011a6fa8a3c46e2c977b7e17ee5d",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "P... | null | null | null | not-recorded | not-recorded | null | [] | [] | Delta symbols and the subconvexity problem · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Anurag Sahay | null | null | null | [
{
"kind": "website",
"citation": "Delta symbols and the subconvexity problem",
"url": "http://aimpl.org/deltasubconvex2/1/",
"note": null,
"sort_order": 0
}
] | {
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
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} | 2026-10-10T16:07:49.246Z | {"database_id":"fdca4106-c4e5-4db4-980c-807bc64d51f3","format_issues":null,"number":7505} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e17fc4f | problem | aim-0df1011a6fa8a3c46e2c977b7e17fc4f | Hardy-type theorem for $\rm GL_3$ $L$-functions | {
"main": "math",
"sub": "number theory",
"slug": "number-theory",
"name": "Number theory",
"original_discipline": "mathematics"
} | [] | [
{
"code": "11",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Number theory. http://aimpl.org/deltasubconvex2/ Not an author-supplied MSC code."
}
] | Use a $\delta$-method to prove that there are infinitely many critical zeros for a $\rm GL_3(\mathbb{Z})$ $L$-functions. | unassessed | {
"key": "aimpl",
"name": "AIM · Delta symbols and the subconvexity problem",
"type": "workshop-problem-list",
"url": "http://aimpl.org/deltasubconvex2/1/#0df1011a6fa8a3c46e2c977b7e17fc4f",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "P... | null | null | null | not-recorded | not-recorded | null | [] | [] | Delta symbols and the subconvexity problem · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Delta symbols and the subconvexity problem",
"url": "http://aimpl.org/deltasubconvex2/1/",
"note": null,
"sort_order": 0
}
] | {
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
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} | 2026-10-10T16:07:49.246Z | {"database_id":"8fb04c88-9402-4fe6-a797-ac32c5262212","format_issues":null,"number":7506} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e18cebe | problem | aim-0df1011a6fa8a3c46e2c977b7e18cebe | Open-source cyberinfrastructure supporting mathematics research · Question 2 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [] | How can we use theorem provers such as Lean4? How can the professional mathematician use it, and how can the general student interact with it? | unassessed | {
"key": "aimpl",
"name": "AIM · Open-source cyberinfrastructure supporting mathematics research",
"type": "workshop-problem-list",
"url": "http://aimpl.org/cyberinfrastructure/#0df1011a6fa8a3c46e2c977b7e18cebe",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-lis... | null | null | null | not-recorded | not-recorded | null | [] | [] | Open-source cyberinfrastructure supporting mathematics research · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
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"url": "http://aimpl.org/cyberinfrastructure/",
"note": null,
"sort_order": 0
}
] | {
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
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"created_at": "2026-09-08T03:32:15.935Z",
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"published_at": "2026-09-08T03:33:09.431Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"4a1f91a5-cadf-4334-8935-83f05b2e3c6d","format_issues":null,"number":7393} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e18e8cb | problem | aim-0df1011a6fa8a3c46e2c977b7e18e8cb | Open-source cyberinfrastructure supporting mathematics research · Question 3 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [] | How can we use all of this to communicate mathematics to broader audiences? To the public, undergraduate students, colleagues, etc.
Is Manim a tool to be improved? How can we use it towards the goal of "Joyful mathematics?"
In general, how can we use these tools to inspire people to prove theorems, and how can we make... | unassessed | {
"key": "aimpl",
"name": "AIM · Open-source cyberinfrastructure supporting mathematics research",
"type": "workshop-problem-list",
"url": "http://aimpl.org/cyberinfrastructure/#0df1011a6fa8a3c46e2c977b7e18e8cb",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-lis... | null | null | null | not-recorded | not-recorded | null | [] | [] | Open-source cyberinfrastructure supporting mathematics research · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Open-source cyberinfrastructure supporting mathematics research",
"url": "http://aimpl.org/cyberinfrastructure/",
"note": null,
"sort_order": 0
}
] | {
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"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
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] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.435Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"da7c5954-e4a2-40db-921f-e1c0f33252ec","format_issues":null,"number":7394} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e19226b | problem | aim-0df1011a6fa8a3c46e2c977b7e19226b | Open-source cyberinfrastructure supporting mathematics research · Question 1 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [] | Should there be a universal database? How do you create your own database, what are best practices? What already exists? How can we build on them, and what is a good guide to build upon these? How can we generate sustainable growth? What kinds of educational tools can we create? How can we focus on undergraduates (Know... | unassessed | {
"key": "aimpl",
"name": "AIM · Open-source cyberinfrastructure supporting mathematics research",
"type": "workshop-problem-list",
"url": "http://aimpl.org/cyberinfrastructure/#0df1011a6fa8a3c46e2c977b7e19226b",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-lis... | null | null | null | not-recorded | not-recorded | null | [] | [] | Open-source cyberinfrastructure supporting mathematics research · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Open-source cyberinfrastructure supporting mathematics research",
"url": "http://aimpl.org/cyberinfrastructure/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e19226b",
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"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.427Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"19530bf3-6c59-445f-ba68-1a27d23045d0","format_issues":null,"number":7392} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e192dfe | problem | aim-0df1011a6fa8a3c46e2c977b7e192dfe | Online Index of Databases · Question 1 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [] | This problem asks generally how to build a database of databases to help users navigate to the resource where the information they wish to obtain is.
The concrete goal of this objective is to create such a database or improve the one that exists and outline how it could be shaped in the future in order to serve the co... | unassessed | {
"key": "aimpl",
"name": "AIM · Open-source cyberinfrastructure supporting mathematics research",
"type": "workshop-problem-list",
"url": "http://aimpl.org/cyberinfrastructure/1/#0df1011a6fa8a3c46e2c977b7e192dfe",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-l... | null | null | null | not-recorded | not-recorded | null | [] | [] | Open-source cyberinfrastructure supporting mathematics research · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Open-source cyberinfrastructure supporting mathematics research",
"url": "http://aimpl.org/cyberinfrastructure/1/",
"note": null,
"sort_order": 0
}
] | {
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
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] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
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"published_at": "2026-09-08T03:33:09.381Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"978c1158-a6c1-42a7-970f-77b757ab5a85","format_issues":null,"number":7382} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e193f39 | problem | aim-0df1011a6fa8a3c46e2c977b7e193f39 | Examples of Open-Source Projects that Did and Did Not Sustain Themselves · Question 1 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [] | This group aims to find examples of open-source project groups that did and did not succeed at long-term sustainability. The concrete goal is to discover principles that underlie the success of an open-source project. In addition, this group has the sub-objective of studying the ways in which projects overlap and have ... | unassessed | {
"key": "aimpl",
"name": "AIM · Open-source cyberinfrastructure supporting mathematics research",
"type": "workshop-problem-list",
"url": "http://aimpl.org/cyberinfrastructure/2/#0df1011a6fa8a3c46e2c977b7e193f39",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-l... | null | null | null | not-recorded | not-recorded | null | [] | [] | Open-source cyberinfrastructure supporting mathematics research · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Open-source cyberinfrastructure supporting mathematics research",
"url": "http://aimpl.org/cyberinfrastructure/2/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e193f39",
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"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
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] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.385Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"bd28c097-119e-4258-97b8-f691bc8dc1b1","format_issues":null,"number":7383} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e1953b4 | problem | aim-0df1011a6fa8a3c46e2c977b7e1953b4 | Developer On-Ramp · Question 1 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [] | The goal of this group is to produce an example of an "on-ramp" which could be given to someone with little to no experience in software, from which they could learn to do some procedure. The guiding principles of this group is that the output should be considerate of people from a marginalized background, and should a... | unassessed | {
"key": "aimpl",
"name": "AIM · Open-source cyberinfrastructure supporting mathematics research",
"type": "workshop-problem-list",
"url": "http://aimpl.org/cyberinfrastructure/3/#0df1011a6fa8a3c46e2c977b7e1953b4",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-l... | null | null | null | not-recorded | not-recorded | null | [] | [] | Open-source cyberinfrastructure supporting mathematics research · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Open-source cyberinfrastructure supporting mathematics research",
"url": "http://aimpl.org/cyberinfrastructure/3/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e1953b4",
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"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.389Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"bc2a6a5b-ab9c-4aa1-9b4b-666c2f06163f","format_issues":null,"number":7384} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e195c46 | problem | aim-0df1011a6fa8a3c46e2c977b7e195c46 | Database of visualizations · Question 1 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [] | The goal of this group is to discuss ways to create an online database of mathematical visualizations. While creating such a database in a week is not feasible, the group aims to find tools that would make it possible and to show that such a project is possible in the first place. The output can be anything from a writ... | unassessed | {
"key": "aimpl",
"name": "AIM · Open-source cyberinfrastructure supporting mathematics research",
"type": "workshop-problem-list",
"url": "http://aimpl.org/cyberinfrastructure/4/#0df1011a6fa8a3c46e2c977b7e195c46",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-l... | null | null | null | not-recorded | not-recorded | null | [] | [] | Open-source cyberinfrastructure supporting mathematics research · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Open-source cyberinfrastructure supporting mathematics research",
"url": "http://aimpl.org/cyberinfrastructure/4/",
"note": null,
"sort_order": 0
}
] | {
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"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
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"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.395Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"73bb3bbc-30a5-4752-a6f5-a5cd25e3f17d","format_issues":null,"number":7385} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e196b7a | problem | aim-0df1011a6fa8a3c46e2c977b7e196b7a | Wishlist of the Future of Mathematical Papers · Question 1 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [] | The goals of this group are to reevaluate the aims of math communication, using specific examples, and introduce new concepts that they believe will impact the future of how mathematics is communicated across a wide audience.
In addition to thinking about how mathematics might be communicated in the future, this group... | unassessed | {
"key": "aimpl",
"name": "AIM · Open-source cyberinfrastructure supporting mathematics research",
"type": "workshop-problem-list",
"url": "http://aimpl.org/cyberinfrastructure/5/#0df1011a6fa8a3c46e2c977b7e196b7a",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-l... | null | null | null | not-recorded | not-recorded | null | [] | [] | Open-source cyberinfrastructure supporting mathematics research · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Open-source cyberinfrastructure supporting mathematics research",
"url": "http://aimpl.org/cyberinfrastructure/5/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e196b7a",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
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] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.401Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"50954b95-6a9f-4c30-8d7c-f15fd635c5c1","format_issues":null,"number":7386} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e197aa7 | problem | aim-0df1011a6fa8a3c46e2c977b7e197aa7 | FM iff CAS · Question 1 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [] | The group has the express goal of finding ways in which current computer algebra systems can interact with formal theorem provers, such as Lean, and vice versa. The guiding motivation for this project is to discuss to what extent Lean should operate as a CAS in it's own right. This groups concrete goals could be anythi... | unassessed | {
"key": "aimpl",
"name": "AIM · Open-source cyberinfrastructure supporting mathematics research",
"type": "workshop-problem-list",
"url": "http://aimpl.org/cyberinfrastructure/6/#0df1011a6fa8a3c46e2c977b7e197aa7",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-l... | null | null | null | not-recorded | not-recorded | null | [] | [] | Open-source cyberinfrastructure supporting mathematics research · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Open-source cyberinfrastructure supporting mathematics research",
"url": "http://aimpl.org/cyberinfrastructure/6/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e197aa7",
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"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.405Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"a6fcc3dd-ed72-4215-996e-75f1578a7150","format_issues":null,"number":7387} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e19902b | problem | aim-0df1011a6fa8a3c46e2c977b7e19902b | SpaceMath: To Finish or Not to Finish · Question 1 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [] | The sole object of this group is to decide whether or not to finish the software SpaceMath. | unassessed | {
"key": "aimpl",
"name": "AIM · Open-source cyberinfrastructure supporting mathematics research",
"type": "workshop-problem-list",
"url": "http://aimpl.org/cyberinfrastructure/7/#0df1011a6fa8a3c46e2c977b7e19902b",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-l... | null | null | null | not-recorded | not-recorded | null | [] | [] | Open-source cyberinfrastructure supporting mathematics research · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Open-source cyberinfrastructure supporting mathematics research",
"url": "http://aimpl.org/cyberinfrastructure/7/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e19902b",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.409Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"7324b783-0082-46de-b290-77187d0349c1","format_issues":null,"number":7388} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e199fe5 | problem | aim-0df1011a6fa8a3c46e2c977b7e199fe5 | Proof Software in Education · Question 1 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [] | The goal of this group is to create a survey of what work has been done on educational proof software and to describe the goals which spurred its creation. The group should aim to end with a concrete idea of what exists in this area now, what is being worked on, and should have ideas on how these systems may be brought... | unassessed | {
"key": "aimpl",
"name": "AIM · Open-source cyberinfrastructure supporting mathematics research",
"type": "workshop-problem-list",
"url": "http://aimpl.org/cyberinfrastructure/8/#0df1011a6fa8a3c46e2c977b7e199fe5",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-l... | null | null | null | not-recorded | not-recorded | null | [] | [] | Open-source cyberinfrastructure supporting mathematics research · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Open-source cyberinfrastructure supporting mathematics research",
"url": "http://aimpl.org/cyberinfrastructure/8/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e199fe5",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.413Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"14af9526-a758-4118-b80f-5a1872863497","format_issues":null,"number":7389} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e19ae17 | problem | aim-0df1011a6fa8a3c46e2c977b7e19ae17 | Open Source Knowledge Tracing · Question 1 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [] | The goal of this group should be to investigate what tools exist for knowledge tracing and should outline what tools could be developed to continue this pursuit, now that interest in it has been renewed. | unassessed | {
"key": "aimpl",
"name": "AIM · Open-source cyberinfrastructure supporting mathematics research",
"type": "workshop-problem-list",
"url": "http://aimpl.org/cyberinfrastructure/9/#0df1011a6fa8a3c46e2c977b7e19ae17",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-l... | null | null | null | not-recorded | not-recorded | null | [] | [] | Open-source cyberinfrastructure supporting mathematics research · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Open-source cyberinfrastructure supporting mathematics research",
"url": "http://aimpl.org/cyberinfrastructure/9/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e19ae17",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.418Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"bd0af0f3-459b-490c-8752-1dc74555ca1b","format_issues":null,"number":7390} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e19c968 | problem | aim-0df1011a6fa8a3c46e2c977b7e19c968 | Solution to Deficiencies in LaTeX · Question 1 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [] | This group should aim to understand to what extent LaTeX does and does not meet the needs of current mathematicians. After such an understanding is had, it should aim to create a list of resources that can supplement TeX, or replace it outright. This group may also venture into ideas on what tools can be developed to a... | unassessed | {
"key": "aimpl",
"name": "AIM · Open-source cyberinfrastructure supporting mathematics research",
"type": "workshop-problem-list",
"url": "http://aimpl.org/cyberinfrastructure/10/#0df1011a6fa8a3c46e2c977b7e19c968",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-... | null | null | null | not-recorded | not-recorded | null | [] | [] | Open-source cyberinfrastructure supporting mathematics research · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Open-source cyberinfrastructure supporting mathematics research",
"url": "http://aimpl.org/cyberinfrastructure/10/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e19c968",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:09.422Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"bbc7f5d7-134d-4d87-ae27-1be418c1322f","format_issues":null,"number":7391} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e1a047b | problem | aim-0df1011a6fa8a3c46e2c977b7e1a047b | Special cycles, modularity and arithmetic intersection · Question 1 | {
"main": "math",
"sub": "number theory",
"slug": "number-theory",
"name": "Number theory",
"original_discipline": "mathematics"
} | [] | [
{
"code": "11",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Number theory. http://aimpl.org/intersectshimura/ Not an author-supplied MSC code."
}
] | Is it possible to define a generating series of special cycles over Shimura varieties related to automorphic representations of higher weight? Do we have similar geometric/arithmetic modularity and Siegel-Weil formulas as in the Kudla program? | unassessed | {
"key": "aimpl",
"name": "AIM · Arithmetic intersection theory on Shimura varieties",
"type": "workshop-problem-list",
"url": "http://aimpl.org/intersectshimura/1/#0df1011a6fa8a3c46e2c977b7e1a047b",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"... | null | null | null | not-recorded | not-recorded | null | [] | [] | Arithmetic intersection theory on Shimura varieties · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | B. Howard | null | null | null | [
{
"kind": "website",
"citation": "Arithmetic intersection theory on Shimura varieties",
"url": "http://aimpl.org/intersectshimura/1/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e1a047b",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:13.754Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"5c15f1a6-17c4-4c07-9986-95e7c4074b82","format_issues":null,"number":8327} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e1a203b | problem | aim-0df1011a6fa8a3c46e2c977b7e1a203b | Special cycles, modularity and arithmetic intersection · Question 2 | {
"main": "math",
"sub": "number theory",
"slug": "number-theory",
"name": "Number theory",
"original_discipline": "mathematics"
} | [] | [
{
"code": "11",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Number theory. http://aimpl.org/intersectshimura/ Not an author-supplied MSC code."
}
] | Derived special cycles have been defined on integral models of certain Shimura varieties (resp. moduli of Shtukas) in recent works of Madapusi (resp. Feng-Yun-Zhang) in the good reduction case. Is it possible to extend their method and define derived special cycles in the bad reduction cases e.g. for some specific para... | unassessed | {
"key": "aimpl",
"name": "AIM · Arithmetic intersection theory on Shimura varieties",
"type": "workshop-problem-list",
"url": "http://aimpl.org/intersectshimura/1/#0df1011a6fa8a3c46e2c977b7e1a203b",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"... | null | null | null | not-recorded | not-recorded | null | [] | [] | Arithmetic intersection theory on Shimura varieties · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Y. Luo, M. Mkrtchyan | null | null | null | [
{
"kind": "website",
"citation": "Arithmetic intersection theory on Shimura varieties",
"url": "http://aimpl.org/intersectshimura/1/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e1a203b",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:13.758Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"c02dcd4a-623e-406f-bfca-00798a4a5c69","format_issues":null,"number":8328} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e1a4d63 | problem | aim-0df1011a6fa8a3c46e2c977b7e1a4d63 | Special cycles, modularity and arithmetic intersection · Question 3 | {
"main": "math",
"sub": "number theory",
"slug": "number-theory",
"name": "Number theory",
"original_discipline": "mathematics"
} | [] | [
{
"code": "11",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Number theory. http://aimpl.org/intersectshimura/ Not an author-supplied MSC code."
}
] | In recent proof of Kudla-Rapoport conjectures by Li--Zhang, numerical local modularity results for local Kudla--Rapoport divisors have been discovered and proved. Is it possible to formulate local modularity geometrically e.g. using moduli of p-adic Shtukas? Could the method of Feng-Yun-Zhang for global modularity be a... | unassessed | {
"key": "aimpl",
"name": "AIM · Arithmetic intersection theory on Shimura varieties",
"type": "workshop-problem-list",
"url": "http://aimpl.org/intersectshimura/1/#0df1011a6fa8a3c46e2c977b7e1a4d63",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"... | null | null | null | not-recorded | not-recorded | null | [] | [] | Arithmetic intersection theory on Shimura varieties · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Q. He, Z. Zhang | null | null | null | [
{
"kind": "website",
"citation": "Arithmetic intersection theory on Shimura varieties",
"url": "http://aimpl.org/intersectshimura/1/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "0df1011a6fa8a3c46e2c977b7e1a4d63",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:13.763Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"2748ccb2-4a6a-4c6c-a65f-fd72fd54ead1","format_issues":null,"number":8329} |
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