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-15151 Verlinde Formulas and Lusztig Characters for New Weight Families
- Math-15152 Rational Formula for the Knot Invariant $\rho_1$
- Math-15153 Relations Between Arithmetic Milnor Invariants
- Math-15154 Volume Envelopes of Cusped Hyperbolic Three-Manifolds
- Math-15155 Complexified Volume Conjecture for Hyperbolic Knots
- Math-15156 Relative Kähler–Ricci Flow on Projective-Space Fibrations
- Math-15157 Intrinsic $L^2$ Extension Beyond Nilpotent Sections
- Math-15158 Equidistribution of Automorphic L Functions over Function Fields
- Math-15159 Single-Prime Characterizations of the UCT Problem
- Math-15160 Newton–Okounkov Geometry for Positive Curve Classes
- Math-15161 Big Divisor Geometry Relative to Subvarieties
- Math-15162 Geometric Criteria for Ehrhart Positivity
- Math-15163 Real-Rootedness and Log-Concavity of Ehrhart Vectors
- Math-15164 Volume Bounds for Clean Lattice Tetrahedra
- Math-15165 Finite Factorization Bases for Breaking Maps
- Math-15166 Manin-Type Asymptotics for Rational-Curve Components
- Math-15167 Sharp Dimension Threshold for Ricci-Flow Curvature Conditions
- Math-15168 Poisson Statistics for S5 Number-Field Extensions
- Math-15169 A Priori Estimates for Nonlinear Hessian Equations
- Math-15170 Flexible Geometric Signal-Reproduction Systems
- Math-15171 Bounded-Generator Expander Families of Finite Groups
- Math-15172 Unimodular Coverings of Adjoint Toric Polytopes
- Math-15173 Detecting Nonnormal Smooth Lattice Polytopes
- Math-15174 Unimodular Coverings from Face and Facet Conditions
- Math-15175 Topology and Symmetries of Aperiodic Tiling Spaces
- Math-15176 Tame Dynamics of Nonamenable Group Actions
- Math-15177 Algebraic Topology of Mathematical Quasicrystals
- Math-15178 Transitional Asymptotics for Toda Shock Waves
- Math-15179 Kähler, Projective, and Quasiprojective Group Realizability
- Math-15180 Characteristic Varieties of Divisors Beyond Line Arrangements
- Math-15181 Extremal Completely Positive Plus-Rank
- Math-15182 Copositive Hierarchies for the Kissing-Number Problem
- Math-15183 Constant-Color Proof-Theoretic Finite Ramsey Theorems
- Math-15184 Wraith Redundancy for Algebraic Theories
- Math-15185 Shared Conceptual Foundations of Mathematics
- Math-15186 Fixed Complexity Separations in Bounded Arithmetic
- Math-15187 Strong-Induction Admissibility in Cut-Free Modal Calculus
- Math-15188 Uniform Quantitative Rates for Provably Convergent Sequences
- Math-15189 Gradient Flow of Wasserstein-Quantization Supports
- Math-15190 Continuum Stability of Gradient Flows on Geometric Graphs
- Math-15191 Stable Wasserstein Gradient Flow Algorithms for Data Analysis
- Math-15192 Category-Weight Constructions for Nonsimply Connected Spaces
- Math-15193 Reducible-Fiber Bounds for Higher-Dimensional Linear Systems
- Math-15194 Nontriviality of Local Algebras from Deformed Borchers Triples
- Math-15195 Uniqueness of Higher-Dimensional Critical Minimizers
- Math-15196 Strategic Starting Vertices in Competing First-Passage Percolation
- Math-15197 Recurrence of High-Dimensional Scale-Free Percolation
- Math-15198 Sharp Polynomial-Time Upper Bounds for Minimum Bisection
- Math-15199 Historical Research Questions on Embodied Mathematics
- Math-15200 Historical Proposal for Concrete Infinitesimal Analysis