| [ |
| { |
| "id": 1, |
| "name": "number_theory", |
| "display_name": "Number Theory", |
| "description": "Properties of integers, prime numbers, Diophantine equations.", |
| "slug": "number-theory", |
| "order_index": 1, |
| "created_at": "2026-07-31T15:26:25.670Z" |
| }, |
| { |
| "id": 2, |
| "name": "combinatorics", |
| "display_name": "Combinatorics", |
| "description": "Counting problems, graph theory, discrete structures.", |
| "slug": "combinatorics", |
| "order_index": 2, |
| "created_at": "2026-07-31T15:26:25.671Z" |
| }, |
| { |
| "id": 3, |
| "name": "graph_theory", |
| "display_name": "Graph Theory", |
| "description": "Problems involving graphs, networks, and their properties.", |
| "slug": "graph-theory", |
| "order_index": 3, |
| "created_at": "2026-07-31T15:26:25.671Z" |
| }, |
| { |
| "id": 4, |
| "name": "algebra", |
| "display_name": "Algebra", |
| "description": "Group theory, ring theory, field theory, and algebraic structures.", |
| "slug": "algebra", |
| "order_index": 4, |
| "created_at": "2026-07-31T15:26:25.671Z" |
| }, |
| { |
| "id": 5, |
| "name": "algebraic_geometry", |
| "display_name": "Algebraic Geometry", |
| "description": "Geometric objects defined by polynomial equations.", |
| "slug": "algebraic-geometry", |
| "order_index": 5, |
| "created_at": "2026-07-31T15:26:25.671Z" |
| }, |
| { |
| "id": 6, |
| "name": "geometry", |
| "display_name": "Geometry", |
| "description": "Euclidean and non-Euclidean geometry, geometric structures.", |
| "slug": "geometry", |
| "order_index": 6, |
| "created_at": "2026-07-31T15:26:25.671Z" |
| }, |
| { |
| "id": 7, |
| "name": "topology", |
| "display_name": "Topology", |
| "description": "Properties preserved under continuous deformations.", |
| "slug": "topology", |
| "order_index": 7, |
| "created_at": "2026-07-31T15:26:25.671Z" |
| }, |
| { |
| "id": 8, |
| "name": "analysis", |
| "display_name": "Analysis", |
| "description": "Limits, continuity, calculus, and function theory.", |
| "slug": "analysis", |
| "order_index": 8, |
| "created_at": "2026-07-31T15:26:25.671Z" |
| }, |
| { |
| "id": 9, |
| "name": "pde", |
| "display_name": "Partial Differential Equations", |
| "description": "PDEs and their applications in physics and geometry.", |
| "slug": "pde", |
| "order_index": 9, |
| "created_at": "2026-07-31T15:26:25.671Z" |
| }, |
| { |
| "id": 10, |
| "name": "set_theory", |
| "display_name": "Set Theory", |
| "description": "Foundations of mathematics, infinite sets, and cardinality.", |
| "slug": "set-theory", |
| "order_index": 10, |
| "created_at": "2026-07-31T15:26:25.671Z" |
| }, |
| { |
| "id": 11, |
| "name": "dynamical_systems", |
| "display_name": "Dynamical Systems", |
| "description": "Problems about long-term behavior of deterministic systems, Hamiltonian dynamics, and periodic orbits.", |
| "slug": "dynamical-systems", |
| "order_index": 11, |
| "created_at": "2026-07-31T15:26:25.671Z" |
| }, |
| { |
| "id": 15, |
| "name": "computer_science", |
| "display_name": "Computer Science", |
| "description": "Computational complexity, algorithms, and theoretical CS.", |
| "slug": "computer-science", |
| "order_index": 15, |
| "created_at": "2026-07-31T15:26:25.671Z" |
| }, |
| { |
| "id": 16, |
| "name": "physics", |
| "display_name": "Mathematical Physics", |
| "description": "Problems at the intersection of mathematics and physics.", |
| "slug": "physics", |
| "order_index": 16, |
| "created_at": "2026-07-31T15:26:25.671Z" |
| }, |
| { |
| "id": 17, |
| "name": "group_theory", |
| "display_name": "Group Theory", |
| "description": "Problems about groups, group actions, representations, and related algebraic structures.", |
| "slug": "group-theory", |
| "order_index": 17, |
| "created_at": "2026-07-31T15:26:25.671Z" |
| }, |
| { |
| "id": 18, |
| "name": "logic", |
| "display_name": "Logic", |
| "description": "Problems in mathematical logic, model theory, proof theory, and finite model theory.", |
| "slug": "logic", |
| "order_index": 18, |
| "created_at": "2026-07-31T15:26:25.671Z" |
| }, |
| { |
| "id": 19, |
| "name": "probability", |
| "display_name": "Probability", |
| "description": "Problems involving probability theory, stochastic processes, and random structures.", |
| "slug": "probability", |
| "order_index": 19, |
| "created_at": "2026-07-31T15:26:25.671Z" |
| }, |
| { |
| "id": 20, |
| "name": "miscellaneous", |
| "display_name": "Miscellaneous", |
| "description": "Problems whose source classification does not fit the main mathematical categories.", |
| "slug": "miscellaneous", |
| "order_index": 20, |
| "created_at": "2026-07-31T15:26:25.671Z" |
| } |
| ] |
