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-4951 Nonlinear Instability of Anti–de Sitter Spacetime
- Math-4952 Reverse Burnett Problem for Einstein–Vlasov Limits
- Math-4953 Area–Angular-Momentum Inequalities with Nonpositive Cosmological Constant
- Math-4954 Global Geometric Inequalities for Material Bodies
- Math-4955 Hawking Energy Limits and the Null Penrose Inequality
- Math-4956 Global Attractors for Expanding Torus Symmetric Spacetimes
- Math-4957 Thermodynamic Fluid–Solid Phase Transitions
- Math-4958 Variance Feedback in Cloud Boundary-Layer Models
- Math-4959 Higher-Order Failure of the Quantum Linear Boltzmann Limit
- Math-4960 Long-Time Landau–Pekar Dynamics of Strongly Coupled Polarons
- Math-4961 Logarithmic Entanglement Enhancement from Partial Delocalization
- Math-4962 Loop Operators and Microscopic Nonabelian Anyons
- Math-4963 Sharp Free Energy of the Two-Dimensional Heisenberg Ferromagnet
- Math-4964 Conformal Field Theory Realizations of Subfactors
- Math-4965 Equivalent Bicommutant Categories from Nonisomorphic Conformal Nets
- Math-4966 Classification of Subnets of Conformal Nets
- Math-4967 Small-Weight Quantum Operations on Lattice Conformal Nets
- Math-4968 Hypergroup Correspondence for Discrete Conformal Subnets
- Math-4969 Canonical Equivalence of Complex and Lagrangian Quantizations
- Math-4970 Monolithic versus Staggered Magnetomechanical Relaxation
- Math-4971 Numerical Schemes for Coupled Fracture and Dissipation
- Math-4972 Bilinear Forms behind Resistor and Ising Integrable Equations
- Math-4973 Emergence of Isotropic Big-Bang Singularities
- Math-4974 Bartnik’s Stationary Vacuum Extension Conjecture
- Math-4975 Asymptotics of Expanding Vacuum Spacetimes Near Singularities
- Math-4976 Weak Cosmic Censorship for Vacuum Spacetimes
- Math-4977 Kasner Singularities Beyond the Subcritical Regime
- Math-4978 Self-Consistent Motion of Massive Charged Particles in Relativity
- Math-4979 Weak Bianchi Identities Across Timelike Singularities
- Math-4980 Initial Data for Physical Late-Time Schwarzschild Wave Tails
- Math-4981 Interior Singularity Structure of Dynamically Formed Black Holes
- Math-4982 Local Weak Cosmic Censorship in Charged Spherical Collapse
- Math-4983 Equality of Capacity–Volume and ADM Mass
- Math-4984 Completeness of Realignment and SIC-POVM Entanglement Tests
- Math-4985 Spin-Alignment Entropy Conjecture
- Math-4986 Trigonometric and Elliptic R-Matrices from Three-Dimensional WZW Models
- Math-4987 $u$-Equations for Arbitrary Hyperbolic Surfaces
- Math-4988 Affine–Virasoro Derivation of Nekrasov Blow-Up Identities
- Math-4989 Fivebrane Filtrations and Holomorphic Field Theories
- Math-4990 Conformal Invariance of Interacting Long-Range Fermionic Models
- Math-4991 Euclidean Extension of Hierarchical Susceptibility Asymptotics
- Math-4992 Mathematical Construction of the Negative-Phase Coulomb Category
- Math-4993 Knots–Quivers Correspondence for All Knots
- Math-4994 Instance-Independent Drivers in Quantum Annealing
- Math-4995 Fluctuation Limits for Moderately Interacting Particle Systems
- Math-4996 Continuation of Nordheim Condensation Beyond Dirac-Mass Formation
- Math-4997 Quantum-Symmetric Classes of Artin–Schelter Regular Algebras
- Math-4998 Periodic Ground States in Gross–Pitaevskii Theory
- Math-4999 Adiabatic Expansions for Gapless Quantum Systems
- Math-5000 Accelerated Information Propagation in Bosonic Lattices