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-6601 Optimal Pluricanonical Bounds for Stable Log Surfaces
- Math-6602 Minimal-Genus Surface Subgroups of Random Groups
- Math-6603 Secondary K-Theory Comparison Map
- Math-6604 Topological Nilpotence Degree of Finite-Group Chow Rings
- Math-6605 Mass Growth Versus Categorical Entropy
- Math-6606 Stationarity of a GARCH Recurrence
- Math-6607 Containment of Simultaneous Core Partitions
- Math-6608 Spectral Sequences for Extensions of Categories
- Math-6609 Induced Character Models for Hyperoctahedral Groups
- Math-6610 Answered Shortest-Route Enumeration
- Math-6611 Aronszajn-Tree Models from Nonstationary-Ideal Forcing
- Math-6612 Additive Dimension of Transpositions
- Math-6613 Heavy Cycles in Eulerian Digraphs
- Math-6614 Monochromatic Subspaces in Binary Vector Spaces
- Math-6615 Homotopical versus Homological Cycle-Filling Complexity
- Math-6616 High-Chromatic Odd-Cycle-Free Graphs with Large Minimum Degree
- Math-6617 Equal Products from Disjoint Subsets of Finite Groups
- Math-6618 Definable Endomorphisms of Generic Multiplicative Fields
- Math-6619 Ozsváth–Szabó Conjecture for Integer Homology Spheres
- Math-6620 Topological Sliceness of the Figure-Eight Cable
- Math-6621 Collapse and Involutions in the Khovanov-Floer Spectral Sequence
- Math-6622 Gröbner-Cell Parametrization of Punctual Hilbert Schemes
- Math-6623 Independent Defects and Rough Deep Ramification
- Math-6624 Arc Hilbert–Poincaré Series of ADE Surface Singularities
- Math-6625 Specialness of Local Koszul Homomorphisms
- Math-6626 Smallest Solvable Group Excluded from Abelian-Type Skew Braces
- Math-6627 The Property-s Elements of a Skew Brace
- Math-6628 Finiteness and Goodness for Property-S Skew Braces
- Math-6629 Structure Groups of Anisotropic Bilinear Forms
- Math-6630 Deterministic Limits of Trace-Reinforced Ant Walks
- Math-6631 Local Limits of Preferential Attachment with Deterministic or Random Outdegree
- Math-6632 Critical Reinforcement Convergence on the Infinite Line
- Math-6633 Sharp Reinforcement Thresholds for Tree and Whisker Components
- Math-6634 Reinforcement Counterexamples on Integer Lattices
- Math-6635 Mixed Odd Powers of Sum-of-Squares Polynomials
- Math-6636 Intersection of Sum-of-Squares and SONC Cones
- Math-6637 Heat Flows into Sum-of-Squares Cones
- Math-6638 Images of Principal Minor Maps for Square Matrices
- Math-6639 Rational Certificates for Truncated Moment Nonrepresentability
- Math-6640 Irreducibility of Exposed-Point Varieties of Generic Discotopes
- Math-6641 Equality of Tropical and Matroidal Amoeba-Dimension Formulas
- Math-6642 Inner Automorphisms in the Fourth-Power Antipode Formula
- Math-6643 Hexagonal Extremizers for a Geometric Uncertainty Principle
- Math-6644 Distal Actions with Negative Infinite Sofic Entropy
- Math-6645 Gaussian Limits for Arithmetic Progressions Under Weaker Growth
- Math-6646 Squarefree Kernel Counts Outside the Established Range
- Math-6647 Consecutive Integers with Restricted Prime Divisors
- Math-6648 Subpolynomial Bounds for an Additive Multiplicative Equation
- Math-6649 Answered Reconstruction of Contact Structures from Contact Lines
- Math-6650 Potentials for Quivers from Twice-Punctured Surfaces