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-4301 Non-Unimodal Ehrhart Polynomials of Reflexive Simplices
- Math-4302 Normality and Very Ampleness of Lattice Polytopes
- Math-4303 Log-Concavity of Cohen–Macaulay H-Vectors
- Math-4304 Unimodality and Log-Concavity under Integer Decomposition
- Math-4305 Volume of Minkowski Sums with Fixed Mixed Volume
- Math-4306 L-Equivalence of Derived-Equivalent Simply Connected Varieties
- Math-4307 Polynomial Bounds for Dominant Rational-Curve Components
- Math-4308 $K(\pi,1)$ Theorems without Cyclotomic Class-Number Conditions
- Math-4309 CM Hida Families and p-Adic L-Function Ideals
- Math-4310 Generic Finite Complexity in Multidimensional Dispersing Billiards
- Math-4311 Reproducing Subgroups of Metaplectic–Heisenberg Representations
- Math-4312 Irreducibility of Restricted Classical-Group Tensor Representations
- Math-4313 Abelian Root Groups in Special Moufang Sets
- Math-4314 M-Sequence Conditions for Smooth Lattice Polytopes
- Math-4315 Exponential Separation of Roots of Bounded Coefficient Polynomials
- Math-4316 Endpoint Lieb–Thirring Bounds for Infinite-Gap Jacobi Matrices
- Math-4317 Parity-Refined Heegaard–Floer and Lattice Cohomology Correspondence
- Math-4318 Nontorus Abelian Duality Manifolds
- Math-4319 Group Extensions Realized by Kodaira Fibrations
- Math-4320 Connected Monodromy Groups of Kodaira Fibrations
- Math-4321 Nonabelian Quotients of the String Link Solvable Filtration
- Math-4322 Critical Mean Values of Dirichlet Polynomials
- Math-4323 Extremal Copositive Rays and Completely Positive Factorizations
- Math-4324 Noncommutative Alexander Polynomials and the Thurston Norm
- Math-4325 Polyhedrality of Novikov Invertibility Loci
- Math-4326 BNS Invariants and First Resonance Varieties
- Math-4327 Relative Commutants and Möbius Nets for Finite-Group Inclusions
- Math-4328 Divergent Conductivity in Low-Dimensional Stochastic Lattices
- Math-4329 Entropy Selection for Conservation Laws with Discontinuous Flux
- Math-4330 Fluctuation Limits for Exclusion Processes
- Math-4331 Final Segments of Difference-C.E. Degrees
- Math-4332 Composite of Randomness and Hindman-Theorem Questions
- Math-4333 Composite of Three Independent Computability Questions
- Math-4334 Combinatorial Determination of Arrangement Milnor-Fiber Betti Numbers
- Math-4335 Combinatorial Determination of Milnor-Fiber Monodromy
- Math-4336 Recovering Toric Arrangement Posets from Complement Cohomology
- Math-4337 Periodicity of Twisted Outer-Automorphism-Group Cohomology
- Math-4338 Representation Stability and Compactifications for Braid Milnor Fibers
- Math-4339 Homology of Free-Lie Current Algebras over Square-Zero Extensions
- Math-4340 Finiteness of Two-Dimensional Sandpile Avalanches
- Math-4341 Avalanche Tails and Height Correlations in Sandpiles
- Math-4342 Uniqueness of Homological Primes over Triangular Primes
- Math-4343 Inference in Proportional High-Dimensional Logistic Regression
- Math-4344 Quantitative Thin-Set Descriptions of Reducible Specializations
- Math-4345 Brauer–Manin Density in Rationally Connected Fibrations
- Math-4346 Coarse Hilbert Containment and Expander Embeddings
- Math-4347 Expanders Avoiding All CAT-Zero Spaces
- Math-4348 Non-Bilipschitz Nets and Lattices in Amenable Groups
- Math-4349 Warped-Cone Quasi-Isometries and Commensuration of Actions
- Math-4350 Embedding Independence of Congruence Subgroups