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-7001 Complete Surfaces inside the Genus-Four Moduli Space
- Math-7002 Infinite Generation in Mapping-Class-Group Cohomology
- Math-7003 Lifting Dehn-Twist Relations to Punctured Surfaces
- Math-7004 Gorenstein Monomial Curves from Principal Matrices
- Math-7005 Generator Bounds for Gorenstein Monomial Curve Ideals
- Math-7006 Unique Factorization of Germ-Like Generalized Series
- Math-7007 Discrete Initial Subgroups of the Surreal Numbers
- Math-7008 Set-Sized Models of Initial Surreal Substructures
- Math-7009 Minimum-Difference Representations of Random Graphs
- Math-7010 Degree-Four Expansion from Random Latin Squares
- Math-7011 Minimum Degree after Random Edge Percolation
- Math-7012 Higher Homotopy of Positive Ricci Observer Moduli Spaces
- Math-7013 Borderline Continuity of Conformal Metric Parametrizations
- Math-7014 Curvature Rigidity of Complex Projective 3-Space Bundles
- Math-7015 Positive Ricci Observer Homotopy Beyond Spheres
- Math-7016 Homotopy Types of Curvature-Metric Moduli on Surfaces
- Math-7017 Exact Strong Approximation Rates for CIR Processes
- Math-7018 Limit Laws for Random-Simplex Volume Statistics
- Math-7019 Consistency and Structure of Strongly Surjective Linear Orders
- Math-7020 Consistency Patterns Among Cardinal Characteristics
- Math-7021 Positivity of Kac-Type Polynomials for Concealed-Canonical Algebras
- Math-7022 Negatively Curved Barriers Beyond Hyperbolicity Cones
- Math-7023 Atomic Measures on Irreducible Truncated Moment Varieties
- Math-7024 Representing Measures for Finite-Dimensional Function Spaces
- Math-7025 Minimal Flat Extension Orders for Truncated Moments
- Math-7026 Positivity and Closure of Flat Moment Matrices
- Math-7027 Sum of Squares Symmetric Quartics in Higher Dimensions
- Math-7028 Rank-One Kernel Boundary Points of Free Spectrahedra
- Math-7029 Positive Radon Measures for Truncated Moment Data
- Math-7030 Carathéodory Bounds and Independent Evaluation Vectors
- Math-7031 Equilibrium Supports on Solids of Revolution
- Math-7032 Poincaré-Function Limits Characterizing Exceptional Polynomials
- Math-7033 Fast Maker Constructions of Regular Graphs
- Math-7034 Breaking Points in Diameter Positional Games
- Math-7035 Recycled Maker–Breaker Games and Kaplansky Four-in-a-Line
- Math-7036 Reduced Length and Mahler-Measure Inequality
- Math-7037 Integral Points on Finite Covers of Semiabelian Varieties
- Math-7038 Finite-Dimensional Integration of Poisson Manifolds
- Math-7039 Frame Bundles as Stack Fiber Products
- Math-7040 Shtuka Strata as Automorphism Torsors
- Math-7041 Piercing Line Families with the (p,3)-Property
- Math-7042 Proper Three-Colorings for Homothets of Convex Sets
- Math-7043 Proper Three-Colorings for Pseudo-Disk Arrangements
- Math-7044 Dihedral Angle Comparison for Combinatorially Equivalent Polytopes
- Math-7045 Exponential Probability Gaps Between Random Order Types
- Math-7046 Linear Crossing Families in Dense Point Sets
- Math-7047 Quadratically Many Essentially Different Lines in Dense Point Sets
- Math-7048 Collinear Grid Triples and Rigid Bipartite Unit Distance Graphs
- Math-7049 Three-Component Tropical Approximation of Ultrametric Data
- Math-7050 Distinguishability of Cycle and Level-One Phylogenetic Networks