metadata/fields.json

[
  {
    "id": 1,
    "slug": "number-theory",
    "name": "Number theory",
    "discipline": "mathematics",
    "blurb": "Primes, Diophantine equations, L-functions — the field with the highest ratio of easily stated to hopelessly hard.",
    "sortOrder": 10
  },
  {
    "id": 2,
    "slug": "combinatorics",
    "name": "Combinatorics",
    "discipline": "mathematics",
    "blurb": "Extremal and additive questions about finite structures, where a single clever construction can end a decades-old problem.",
    "sortOrder": 11
  },
  {
    "id": 3,
    "slug": "graph-theory",
    "name": "Graph theory",
    "discipline": "mathematics",
    "blurb": "Colourings, minors, expansion and the conjectures that organise them.",
    "sortOrder": 12
  },
  {
    "id": 4,
    "slug": "analysis",
    "name": "Analysis",
    "discipline": "mathematics",
    "blurb": "Harmonic analysis, operator theory and the fine structure of functions and spectra.",
    "sortOrder": 13
  },
  {
    "id": 5,
    "slug": "partial-differential-equations",
    "name": "Partial differential equations",
    "discipline": "mathematics",
    "blurb": "Regularity, blow-up and long-time behaviour of the equations of physics.",
    "sortOrder": 14
  },
  {
    "id": 6,
    "slug": "geometry-and-topology",
    "name": "Geometry and topology",
    "discipline": "mathematics",
    "blurb": "Manifolds, knots, packings and the stubborn gap between the smooth and the topological.",
    "sortOrder": 15
  },
  {
    "id": 7,
    "slug": "algebra",
    "name": "Algebra",
    "discipline": "mathematics",
    "blurb": "Groups, rings and the representation theory that keeps them honest.",
    "sortOrder": 16
  },
  {
    "id": 8,
    "slug": "probability",
    "name": "Probability",
    "discipline": "mathematics",
    "blurb": "Random walks, percolation and scaling limits — where physics intuition outruns proof by decades.",
    "sortOrder": 17
  },
  {
    "id": 9,
    "slug": "dynamical-systems",
    "name": "Dynamical systems",
    "discipline": "mathematics",
    "blurb": "Iteration, ergodic theory and the geometry of long-run behaviour.",
    "sortOrder": 18
  },
  {
    "id": 10,
    "slug": "logic-and-foundations",
    "name": "Logic and foundations",
    "discipline": "mathematics",
    "blurb": "Set theory, model theory and the limits of what axioms decide.",
    "sortOrder": 19
  },
  {
    "id": 11,
    "slug": "computational-complexity",
    "name": "Computational complexity",
    "discipline": "computer-science",
    "blurb": "What can be computed with bounded resources. Home of the discipline's largest embarrassments.",
    "sortOrder": 30
  },
  {
    "id": 12,
    "slug": "algorithms",
    "name": "Algorithms and data structures",
    "discipline": "computer-science",
    "blurb": "Upper bounds: the running times we can achieve, and the ones we cannot rule out.",
    "sortOrder": 31
  },
  {
    "id": 13,
    "slug": "cryptography",
    "name": "Cryptography",
    "discipline": "computer-science",
    "blurb": "Security reductions and the hardness assumptions the modern internet is standing on.",
    "sortOrder": 32
  },
  {
    "id": 14,
    "slug": "computational-geometry",
    "name": "Computational geometry",
    "discipline": "computer-science",
    "blurb": "Points, distances and arrangements, counted and computed.",
    "sortOrder": 33
  },
  {
    "id": 15,
    "slug": "learning-theory",
    "name": "Learning theory",
    "discipline": "machine-learning",
    "blurb": "Sample complexity, regret and the formal limits of learning from data. Source of the COLT open-problem track.",
    "sortOrder": 50
  },
  {
    "id": 16,
    "slug": "optimization",
    "name": "Optimization",
    "discipline": "machine-learning",
    "blurb": "Convergence rates, landscapes and the complexity of finding a good point.",
    "sortOrder": 51
  },
  {
    "id": 17,
    "slug": "deep-learning-theory",
    "name": "Deep learning theory",
    "discipline": "machine-learning",
    "blurb": "Why the methods that work in practice work at all — the field's largest open questions are still qualitative.",
    "sortOrder": 52
  },
  {
    "id": 18,
    "slug": "high-dimensional-statistics",
    "name": "High-dimensional statistics",
    "discipline": "statistics",
    "blurb": "Estimation when the number of parameters rivals the number of samples, and the computational price of it.",
    "sortOrder": 60
  },
  {
    "id": 19,
    "slug": "quantum-information",
    "name": "Quantum information",
    "discipline": "physics",
    "blurb": "Entanglement, channels and the structure of quantum correlations. Unusually rich in crisply stated problems.",
    "sortOrder": 70
  },
  {
    "id": 20,
    "slug": "mathematical-physics",
    "name": "Mathematical physics",
    "discipline": "physics",
    "blurb": "Rigorous foundations for the models physicists already trust.",
    "sortOrder": 71
  },
  {
    "id": 21,
    "slug": "condensed-matter",
    "name": "Condensed matter",
    "discipline": "physics",
    "blurb": "Phases of matter, and the many-body models nobody can solve.",
    "sortOrder": 72
  },
  {
    "id": 43,
    "slug": "mathematics-general",
    "name": "Mathematics · general",
    "discipline": "mathematics",
    "blurb": "Mathematical questions awaiting a more specific subject classification.",
    "sortOrder": 29
  },
  {
    "id": 44,
    "slug": "mathematical-biology",
    "name": "Mathematical biology",
    "discipline": "biology",
    "blurb": "Mathematical models of biological and other natural systems.",
    "sortOrder": 60
  },
  {
    "id": 45,
    "slug": "mathematical-economics",
    "name": "Mathematical economics and game theory",
    "discipline": "economics",
    "blurb": "Equilibria, games, and mathematical models of social systems.",
    "sortOrder": 70
  },
  {
    "id": 46,
    "slug": "control-and-information",
    "name": "Control and information theory",
    "discipline": "mathematics",
    "blurb": "Control systems, stability, communication, and information.",
    "sortOrder": 19
  },
  {
    "id": 143,
    "slug": "astronomy",
    "name": "Astronomy and solar physics",
    "discipline": "astronomy",
    "blurb": "Planet formation, stellar activity and the physical universe.",
    "sortOrder": 80
  },
  {
    "id": 144,
    "slug": "evolution-and-origins",
    "name": "Evolution and origins of life",
    "discipline": "biology",
    "blurb": "The emergence of living systems and the mechanisms of evolutionary change.",
    "sortOrder": 81
  },
  {
    "id": 145,
    "slug": "neuroscience",
    "name": "Neuroscience",
    "discipline": "biology",
    "blurb": "Neural mechanisms of perception, learning, memory and behavior.",
    "sortOrder": 82
  },
  {
    "id": 146,
    "slug": "chemical-sciences",
    "name": "Chemical sciences",
    "discipline": "chemistry",
    "blurb": "Molecular structure, reaction mechanisms and chemical origins.",
    "sortOrder": 83
  },
  {
    "id": 147,
    "slug": "earth-sciences",
    "name": "Earth sciences",
    "discipline": "geoscience",
    "blurb": "Earth's interior, landscape evolution and climate dynamics.",
    "sortOrder": 84
  },
  {
    "id": 148,
    "slug": "statistical-inference",
    "name": "Statistical inference",
    "discipline": "statistics",
    "blurb": "Reliable inference, testing and uncertainty under dependence.",
    "sortOrder": 85
  },
  {
    "id": 149,
    "slug": "economic-theory",
    "name": "Economic theory and empirical puzzles",
    "discipline": "economics",
    "blurb": "Models of decisions and economic observations that challenge them.",
    "sortOrder": 86
  }
]