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-15451 Bestvina Complexes Beyond Compact Strict Fundamental Domains
- Math-15452 Homotopy Types of Four-Manifold Homeomorphism and Diffeomorphism Groups
- Math-15453 Effective Subgroup Separability in Hyperbolic Knot Groups
- Math-15454 Canonical Subsets in McKay Bijections
- Math-15455 Chamber Structures of Schur-Positive Multiplicity Functions
- Math-15456 Arm-Length Refinements for Complementary Partitions
- Math-15457 Geometry behind a Plethystic Representation Isomorphism
- Math-15458 Mirror Symmetry for Maximally Degenerate Positive Calabi–Yau Pairs
- Math-15459 Mutable Laurent Polynomials and Toric Smoothing Components
- Math-15460 Existence Criteria for $g$-Measures
- Math-15461 Equivalence of Gibbs Measures and $g$-Measures
- Math-15462 Cardinality of Spin-Glass Ground-State Sets
- Math-15463 Moment Inequalities from Positive Semidefinite Localization Matrices
- Math-15464 Duplicate Moment-Matrix Question
- Math-15465 Large Triple-Product-Free Subsets of Finite Groups
- Math-15466 Superreplication in Large-Trader Market Models
- Math-15467 Universality Under Composition of Holomorphic Self-Maps
- Math-15468 Invariant Rings of Exceptional-Mutation Actions
- Math-15469 Levels and Thick Subcategories in Triangulated Categories
- Math-15470 Growth Expansion and Mixing in Groups and Graphs
- Math-15471 Integral Zeros and Counting for Polynomial Forms
- Math-15472 Recognition of Lattice Point Configurations as Convex Ovals
- Math-15473 Asymptotics for Nonstationary GARCH Estimators
- Math-15474 Bar-Recursive Interpretation of Second-Order Arithmetic
- Math-15475 Unavoidable Sequences and Brouwerian Theory $T_2$
- Math-15476 Deployment Barriers for Time-Domain Boundary Element Methods
- Math-15477 Spectral and Product Growth in Graphs and Groups
- Math-15478 $\Gamma$-Limits for Vector-Valued Dislocation Phase Fields
- Math-15479 Characterization of Chaotic Analytic Zero Processes
- Math-15480 Linear Response for Stationary Random Fields
- Math-15481 Bulk Large Deviations in Stationary Point Fields
- Math-15482 Equality of Alternate Moduli Spaces of Pointed Elliptic Curves
- Math-15483 Conjugacy Classes and Characters of Finite p-Groups
- Math-15484 Stability of Topological Components versus Statistical Clusters
- Math-15485 Realization of Persistence Pairings by Filtration Functions
- Math-15486 Universality of Rescaled Grain-Growth Complexes
- Math-15487 Homotopy-Correct Initialization for Manifold Regression
- Math-15488 Yau Stability Conjecture for Constant Scalar Curvature Metrics
- Math-15489 Error Propagation in Asteroid Dynamics Models
- Math-15490 Sharp Ricci-Flow-Invariant Curvature Cones
- Math-15491 Realizing Compact Spectra of Pathological Masas
- Math-15492 Entire Curves in General Type Orbifolds
- Math-15493 Mixture versus Single-Component Models of Tissue Growth
- Math-15494 Universal Mechanisms of Biological Pattern Formation
- Math-15495 Power Laws for Stable Commutator Length Frequencies
- Math-15496 Smooth Obstructions to Geometrically Semisimple Hamiltonians
- Math-15497 Strong Intersection Conjecture for Hamiltonian Isotopies
- Math-15498 Poisson Boundaries of Low-Dimensional Wreath Products
- Math-15499 Asymptotic Growth Under Group Automorphisms
- Math-15500 The Refined Unstable-Module Realization Conjecture