Mathematics
Open problems, research attempts and community review.
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-2351 Weak Zariski Decompositions of Pseudo-Effective Divisors
- Math-2352 Unique Games Approximation-Threshold Conjecture
- Math-2353 Naimark's problem for $C^*$-algebras
- Math-2354 The Toms–Winter regularity conjecture
- Math-2355 Naimark's Problem for Nonseparable $C^*$-Algebras
- Math-2356 Birkhoff Conjecture for Integrable Convex Billiards
- Math-2357 Rigidity and Assembly Conjectures for Discrete Groups
- Math-2358 Surface Subgroups of Word-Hyperbolic Groups
- Math-2359 Strict Cost–$\ell^2$-Betti Inequalities for Free Group Actions
- Math-2360 Multipoint Seshadri Constants and Nagata-Type Conjectures
- Math-2361 Brennan-Type Integrability for Crescent-Domain Conformal Maps
- Math-2362 Forcing Graphs for Quasirandomness
- Math-2363 Forcing Conjecture for Bipartite Cyclic Graphs
- Math-2364 Rational Ellipticity, Entropy, Euler Characteristic, and Formality
- Math-2365 Algebraic K-Theory and Rigidity Conjectures for Discrete Groups
- Math-2366 Uniform Rectifiability from Bounded Riesz Transforms
- Math-2367 Higher-Dimensional Riesz Transforms and Uniform Rectifiability
- Math-2368 Hill Conjecture for Complete Graph Crossing Numbers
- Math-2369 Classification of Class-VII Complex Surfaces
- Math-2370 Inductive Proofs of Alperin Conjectures
- Math-2371 Inductive Blockwise Alperin Weight Condition
- Math-2372 Uniqueness of Tangent Flows in Mean Curvature Flow
- Math-2373 The Zariski Multiplicity Problem
- Math-2374 De Giorgi Conjecture for Allen–Cahn
- Math-2375 Log Abundance for Semi-Log-Canonical Pairs
- Math-2376 Euclidean Ramsey Configurations and Sphericity
- Math-2377 Toms–Winter Regularity Conjecture
- Math-2378 $\mathcal Z$-Stability and Regularity of Nuclear $C^*$-Algebras
- Math-2379 Kadison–Kastler Conjecture for Separable $C^*$-Algebras
- Math-2380 The Kadison–Kastler conjecture for $C^*$-algebras
- Math-2381 Trace-Cone Classification after Razak–Jacelon Stabilization
- Math-2382 Jiang–Su Embeddings in Character-Free Central Sequence Algebras
- Math-2383 Subhomogeneous Character-Free Subalgebras of Infinite Tensor Powers
- Math-2384 Comparison Properties and Jiang–Su Absorption
- Math-2385 Nuclear Dimension after Jiang–Su Stabilization
- Math-2386 Variance Conjecture for Log-Concave Random Vectors
- Math-2387 Dual-Graph Generation of Tautological Relations
- Math-2388 Minimum Graph Homomorphism Counts at Fixed Density
- Math-2389 Displacement Exponents for Low-Dimensional Self-Avoiding Walks
- Math-2390 Lefschetz Classes and the Tate and Hodge Conjectures
- Math-2391 Rigidity of Completely Close $C^*$-Algebras
- Math-2392 Regularity Properties of Nuclear $C^*$-Algebras
- Math-2393 Homogeneity of Fano Contact Manifolds
- Math-2394 Sidorenko's Inequality for Bipartite Graphs
- Math-2395 Linear Cycle-and-Edge Decompositions of Graphs
- Math-2396 Nonsingularity and Limit Laws for Random Matrices
- Math-2397 Almost-Everywhere Fourier Convergence in $L^{1}$
- Math-2398 Fujita's Global Generation and Very-Ampleness Conjecture
- Math-2399 Enumeration of Graphs with Prescribed Degree Sequences
- Math-2400 Spectrahedrality of Hyperbolicity Cones