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-4251 Lovász Removable-Path Conjecture for Three Prescribed Vertices
- Math-4252 Regularity and Symmetry in Laplacian Shape Optimization
- Math-4253 Sub-Twice-Maximum-Degree Game Chromatic Index Bounds
- Math-4254 Minimum-Degree Lower Bounds for Game Chromatic Index
- Math-4255 Picker–Chooser and Maker–Breaker Strategy Transfers
- Math-4256 Thresholds for Random-Order Online Graph Coloring
- Math-4257 Planar Game Chromatic Numbers and Builder Strategies
- Math-4258 Move Complexity and Surplus in Maker Games
- Math-4259 Number Fields Whose Integers Are Sums of Units
- Math-4260 Liouville Classification of the Gelfond Constant
- Math-4261 Maximal Poisson-Commutative Subalgebras and Flatness
- Math-4262 Fatou Theory for Entire Minimal Graphs in $\mathbb{H}^2\times\mathbb{R}$
- Math-4263 Compatibility of Nef Reduction and Iitaka Fibrations
- Math-4264 Higher Central-Derivative Formulas for L-Functions
- Math-4265 Flag Sphere Gamma Vectors Beyond Simplicial Polytopes
- Math-4266 Minimum Faces in Complexes Not Embeddable in Manifolds
- Math-4267 Maximum Diameters of Lattice Polytopes in Cubes
- Math-4268 Covering Balls by Translated Slabs
- Math-4269 Asymptotic Distribution of Maximum Agreement Subtrees
- Math-4270 Secant Varieties of Gaussian Moment Varieties
- Math-4271 Mode Counts of Gaussian Mixtures
- Math-4272 Defining Equations for Group-Based Phylogenetic Network Models
- Math-4273 Higher Extensions Between Additive and Multiplicative Algebraic Groups
- Math-4274 Tamagawa Formula for Connected Linear Algebraic Groups
- Math-4275 Arc-Smooth and Whitney-Smooth Functions on Closed Sets
- Math-4276 Sobolev Sheaves on Subanalytic Sites
- Math-4277 Stable Prasad Multiplicity Conjecture
- Math-4278 Geometric Description of Pure Local Arthur Packets
- Math-4279 Equivariant Minimal Surfaces for Semisimple Representations
- Math-4280 Energetic Limits for General Complete-Damage Energies
- Math-4281 Periodic Orbits Bounding Global Surfaces of Section
- Math-4282 Movable Invariant Neighborhoods of Compact Flow Sets
- Math-4283 Number of Simple Reeb Orbits on Three-Manifolds
- Math-4284 Contact Entropy and Fundamental-Group Growth
- Math-4285 Sharp Weighted Bounds for Rough Singular Integrals
- Math-4286 Equivalence of Hardy Spaces on Noncompact Manifolds
- Math-4287 Gaussian Extremizers for Strichartz Inequalities
- Math-4288 Sphere Rigidity from Scalar Curvature and Injectivity Radius
- Math-4289 Betti Sequences of Closed Smooth Manifolds
- Math-4290 Positivity and Evenness in HOMFLY-PT Knot Homology
- Math-4291 Theorem on Orbicurve Factorization of Holonomy Representations
- Math-4292 Heegner Divisors and the Pseudo-Effective Cone
- Math-4293 Variance of Gaussian Prime Angles in Short Arcs
- Math-4294 Keating–Snaith Distribution of Central L-Values
- Math-4295 Cartan Subalgebras in Classifiable $C^*$-Algebras
- Math-4296 Composite of Unrelated Operator-Algebra Questions
- Math-4297 Convex Geometry and Limits of Asymptotic Higher Cohomology
- Math-4298 Polyhedrality of Movable Cycle Cones on Toric Varieties
- Math-4299 Polyhedral Global Newton–Okounkov Bodies for Mori Dream Spaces
- Math-4300 Maximum Volume of Canonical Fano Polytopes