categories.json

[
  {
    "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": "2024-01-01T00:00:00Z"
  },
  {
    "id": 2,
    "name": "combinatorics",
    "display_name": "Combinatorics",
    "description": "Counting problems, graph theory, discrete structures.",
    "slug": "combinatorics",
    "order_index": 2,
    "created_at": "2024-01-01T00:00:00Z"
  },
  {
    "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": "2024-01-01T00:00:00Z"
  },
  {
    "id": 4,
    "name": "algebra",
    "display_name": "Algebra",
    "description": "Group theory, ring theory, field theory, and algebraic structures.",
    "slug": "algebra",
    "order_index": 4,
    "created_at": "2024-01-01T00:00:00Z"
  },
  {
    "id": 5,
    "name": "algebraic_geometry",
    "display_name": "Algebraic Geometry",
    "description": "Geometric objects defined by polynomial equations.",
    "slug": "algebraic-geometry",
    "order_index": 5,
    "created_at": "2024-01-01T00:00:00Z"
  },
  {
    "id": 6,
    "name": "geometry",
    "display_name": "Geometry",
    "description": "Euclidean and non-Euclidean geometry, geometric structures.",
    "slug": "geometry",
    "order_index": 6,
    "created_at": "2024-01-01T00:00:00Z"
  },
  {
    "id": 7,
    "name": "topology",
    "display_name": "Topology",
    "description": "Properties preserved under continuous deformations.",
    "slug": "topology",
    "order_index": 7,
    "created_at": "2024-01-01T00:00:00Z"
  },
  {
    "id": 8,
    "name": "analysis",
    "display_name": "Analysis",
    "description": "Limits, continuity, calculus, and function theory.",
    "slug": "analysis",
    "order_index": 8,
    "created_at": "2024-01-01T00:00:00Z"
  },
  {
    "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": "2024-01-01T00:00:00Z"
  },
  {
    "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": "2024-01-01T00:00:00Z"
  },
  {
    "id": 15,
    "name": "computer_science",
    "display_name": "Computer Science",
    "description": "Computational complexity, algorithms, and theoretical CS.",
    "slug": "computer-science",
    "order_index": 15,
    "created_at": "2024-01-01T00:00:00Z"
  },
  {
    "id": 16,
    "name": "physics",
    "display_name": "Mathematical Physics",
    "description": "Problems at the intersection of mathematics and physics.",
    "slug": "physics",
    "order_index": 16,
    "created_at": "2024-01-01T00:00:00Z"
  }
]