Mathematics catalogue
Provisional editorial order for Top Open Problems: Millennium Prize Problems first, followed by assessed difficulty tiers; the unassessed remainder keeps its previous catalogue order. About rankings
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- Math-2401 Vanishing of the $hat A$-Genus Under Nonnegative Curvature
- Math-2402 Gromov Macroscopic Dimension Conjecture
- Math-2403 Abundance Conjecture for Projective Minimal Models
- Math-2404 Rational Curves on Compact Kähler Manifolds
- Math-2405 Solvability of Group Equations and Surjectivity of Word Maps
- Math-2406 The mod-$\ell$ Bogomolov–Pop conjecture
- Math-2407 The chromatic splitting conjecture
- Math-2408 Chromatic Splitting of the Local Sphere
- Math-2409 Chromatic Fiber Structure at Bad Primes
- Math-2410 Bogomolov–Gieseker Inequality for Tilt-Semistable Threefold Complexes
- Math-2411 Strong Locality and Reconstruction of Vertex Operator Algebras
- Math-2412 Eigenvalue Counts for Low-Degree Random Regular Graphs
- Math-2413 Injectivity of the Baum–Connes Assembly Map
- Math-2414 Strong Cosmic Censorship at Weak Regularity
- Math-2415 Full-Measure Families of Ergodic Irrational Polygons
- Math-2416 Petty's projection-body conjecture
- Math-2417 Color Savings and Strong Chromatic Index Bounds
- Math-2418 Packing and Covering for Infinite Matroids
- Math-2419 Stanley–Stembridge Chromatic Symmetric Function Conjecture
- Math-2420 Polynomial Algorithms for Mean-Payoff Games and Linear Programming
- Math-2421 Hemisphere Partition Functions and Stability Across GLSM Phases
- Math-2422 Donovan’s Finiteness Conjecture for Fixed Defect Groups
- Math-2423 Multistationarity and Permanence in MESSI Reaction Networks
- Math-2424 Absolute Continuity Parameters for Bernoulli Convolutions
- Math-2425 Real Baum–Connes Isomorphism Conjecture
- Math-2426 Finiteness of Atypical Hodge Subvarieties
- Math-2427 Universal Bounds on Atomic Excess Charge
- Math-2428 Lech Multiplicity Conjecture for Flat Local Extensions
- Math-2429 Amenability of Thompson Group and Interval Homeomorphism Groups
- Math-2430 Finiteness of Optimal Points in Shimura Subvarieties
- Math-2431 Persistence and Permanence of Weakly Reversible Reaction Networks
- Math-2432 $L^p$ Bounds for the Triangular Hilbert Transform
- Math-2433 Cartan–Hadamard Isoperimetric Conjecture
- Math-2434 Universal-Cover Decomposition for Nef Anticanonical Manifolds
- Math-2435 Kobayashi Pseudometric Vanishing on Calabi–Yau Manifolds
- Math-2436 Generalized Riemann Hypothesis for Automorphic L-Functions
- Math-2437 Nuclear Dimension of Transformation-Group Crossed Products
- Math-2438 Toms–Winter Regularity Conjecture
- Math-2439 Uniform Property Gamma for Nuclear $C^*$-Algebras
- Math-2440 Absolute Continuity and Densities of Bernoulli Convolutions
- Math-2441 Minimum Distinct Distances Among Planar Point Sets
- Math-2442 Falconer Distance Conjecture in the Plane
- Math-2443 Distances in Decorated Random Planar Maps
- Math-2444 Rank-One Equivalences for Elliptic Curves
- Math-2445 Equivalence of Affine-Space Embeddings Under Automorphisms
- Math-2446 Almost Everywhere Regularity of Parametrized Stationary Varifolds
- Math-2447 Mass–Angular-Momentum Inequalities with Trapped and Multiple Horizons
- Math-2448 $d$-to-$1$ Games Conjecture
- Math-2449 Mahler’s Volume Conjecture
- Math-2450 Planar Log-Brunn–Minkowski After Translation