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-7201 Spectrum of Boundary Problems with Noncompact Multiplier Weights
- Math-7202 Essential Spectrum of Sign-Indefinite Transmission Laplacians
- Math-7203 Optimal Pólya–Vinogradov Constants Across Dirichlet Characters
- Math-7204 Bounded Weighted Integral Points on a Rank-One Elliptic Curve
- Math-7205 Absolutely Convergent Multiplicative Expansions of the von Mangoldt Function
- Math-7206 Simple Braces as Asymmetric Products
- Math-7207 Kegel–Wielandt Theory for Skew Braces
- Math-7208 Yang–Baxter Solutions from Generalized Left Semi-Braces
- Math-7209 Alternativity of Parameters for $A_2$-Graded Groups
- Math-7210 Seshadri Constants of Line Arrangement Singularities
- Math-7211 Unbounded Semi Effective Orders on Projective Surfaces
- Math-7212 Bounded Negativity for Root of Unity Blowups
- Math-7213 Cost and First $L^2$ Betti Numbers
- Math-7214 Rational Singularities of Integral Modular Curve Models
- Math-7215 Direct Modularity from the Hypergeometric Partition Expansion
- Math-7216 Moving Ideals of Rationally Parametrized Curves and Surfaces
- Math-7217 Trivial Restrictions of Twists in Nilpotent Group Algebras
- Math-7218 Virtual Cohomological Dimension of Unit Groups
- Math-7219 Balanced Three-Colorings of Six-Uniform Hypergraphs
- Math-7220 Derived Invariants from Gentle Quivers with Relations
- Math-7221 Sharp Complexity Constants for Smooth Multivariate Integration
- Math-7222 Dimension-Uniform Lower Bounds for Twice-Smooth Integration
- Math-7223 Positive Scalar Curvature for Spin Manifolds with Odd Fundamental Group
- Math-7224 Duplicate Bestvina-Complex Retraction Question
- Math-7225 Free Subgroups Avoiding All Dehn-Surgery Kernels
- Math-7226 Asymptotic Prevalence of Nonlayered Veering Triangulations
- Math-7227 Motion Groups of Hopf-Tree Links
- Math-7228 Pleating-Ray Tilings of the Representation-Space Complement
- Math-7229 Wall Crossing Between Adjacent Tropical Toric Degenerations
- Math-7230 Discontinuities of Two-Sided Specifications
- Math-7231 Ends of Critical Long-Range Percolation Clusters
- Math-7232 Uniform Coupling under Gibbs Uniqueness
- Math-7233 Probabilistic Equality of Left and Right Tail Fields
- Math-7234 The Real-Zero Polynomial Amalgamation Conjecture
- Math-7235 Real Rational Maps with Exclusively Real Periodic Points
- Math-7236 Point-Set Reconstruction from Directional X-Rays
- Math-7237 Extremal Independent-Neighborhood Hypergraphs of Uniformity Five and Six
- Math-7238 Aronszajn-Line Universality and the Size of the Continuum
- Math-7239 Universal Faber Series Versus Universal Taylor Series
- Math-7240 Commutants of Volterra Operators on $L^p$ Spaces
- Math-7241 Polynomial Stability of Universal Taylor Series
- Math-7242 Polynomial Stability of Hypercyclic Entire Functions
- Math-7243 Blaschke Approximation of Inner-Function Arguments
- Math-7244 Degenerations of Elliptic Yang–Baxter Solutions
- Math-7245 Ext-Algebra Models for Crossingless Matchings
- Math-7246 Counting Lattice Oval Configurations by Weight
- Math-7247 Lifshitz Tails for Sign-Changing Alloy Potentials
- Math-7248 Continuity of Julia Sets Under Polynomial Degeneration
- Math-7249 Recursive Determination of Quantum Knot Invariants
- Math-7250 Moderate Deviations for Chaotic Analytic Zeros