Top Open Problems
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-4351 Superexpanders and Separation of L-p from Hilbert Embeddability
- Math-4352 Dimension Constraints for Quadratic Forms over Quadric Fields
- Math-4353 Descent of Hereditary Orders with Involution
- Math-4354 Finiteness of Algebraic Forms with Good Reduction
- Math-4355 Good-Reduction Finiteness over Finitely Generated Fields
- Math-4356 Properness of Localization Maps for Algebraic Groups
- Math-4357 Finiteness of Tate–Shafarevich Sets for Algebraic Groups
- Math-4358 Finiteness of Genera of Simply Connected Groups
- Math-4359 Genus Finiteness for Algebraic Groups
- Math-4360 Unramified Cohomology of Mixed-Type Classifying Spaces
- Math-4361 Motivic Equivalence and Similarity of Quadratic Forms
- Math-4362 Collected Problems in Operator Algebras and Quantum Information
- Math-4363 Local Weak Limits of Surface-Embedded Random Graphs
- Math-4364 Stanley Rank-Size Bounds for Differential Posets
- Math-4365 Positive Polynomial Comparisons for Unitriangular Conjugacy Classes
- Math-4366 Derived Decomposition of Fixed-Determinant Bundle Moduli
- Math-4367 Ideals in the Positive Witt Algebra
- Math-4368 Ideal Theory of Witt and Virasoro Enveloping Algebras
- Math-4369 Decidability of Finite Field Extensions
- Math-4370 Square Discriminants and Minimal Ramification of Alternating Group Powers
- Math-4371 Smoothability of Group Actions on One-Manifolds
- Math-4372 Graph-Automatic Structures for Thompson's Group $F$
- Math-4373 Empty Regions in the Biembeddability Poset
- Math-4374 Fast Generators for F-Less Homeomorphism Groups
- Math-4375 Well-Quasi-Ordering of Thompson Subgroups
- Math-4376 Homology and Hopficity of Braided Thompson Groups
- Math-4377 Nonamenable Groups without Free Subgroups
- Math-4378 Finitely Presented Piecewise-Projective Groups
- Math-4379 Sharp Normalized Steklov Supremum in Higher Dimensions
- Math-4380 Explicit Generators for Higher-Dimensional Cremona Groups
- Math-4381 Mirror Families from Log Calabi–Yau Pairs
- Math-4382 Hodge Numbers from Landau–Ginzburg Fiber Components
- Math-4383 A Serre-Style Proof of the Jordan Property
- Math-4384 Lower Bounds for Symplectic Resolvent Degrees
- Math-4385 Topological Characterization of Complex Algebraic Links
- Math-4386 Multiplicity Bounds for Principal Theta Divisors
- Math-4387 Virtual Cohomological Dimension of Surface Automorphism Groups
- Math-4388 Uniqueness of Tangents for Multivalued Energy Minimizers
- Math-4389 Holomorphic Homogeneous Regularity of Infinite-Dimensional Convex Domains
- Math-4390 Optimal Dimensions for Polynomially Convex Embeddings
- Math-4391 Cubulation of Hyperbolic Surface-by-Free Groups
- Math-4392 Finite-Sided Weil–Petersson Dirichlet Domains
- Math-4393 Collected Problems in Higher Teichmüller and Representation Theory
- Math-4394 Mapping-Class Orbit Counting in the Thurston Metric
- Math-4395 Diffusive Limits for the Random Lorentz Gas
- Math-4396 Extensive Amenability of Wobbling-Group Actions
- Math-4397 Lifting Tropical Divisors with Prescribed Rank
- Math-4398 Teichmüller Projections of Hitchin Components
- Math-4399 Uniform Winning Times in Strong Ramsey Games
- Math-4400 Irrationality of Seshadri Constants