| [ |
| { |
| "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 |
| } |
| ] |
|
|
