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-12301 Asymptotics of Expanding Vacuum Spacetimes Near Singularities
- Math-12302 Weak Cosmic Censorship for Vacuum Spacetimes
- Math-12303 Kasner Singularities Beyond the Subcritical Regime
- Math-12304 Self-Consistent Motion of Massive Charged Particles in Relativity
- Math-12305 Weak Bianchi Identities Across Timelike Singularities
- Math-12306 Initial Data for Physical Late-Time Schwarzschild Wave Tails
- Math-12307 Interior Singularity Structure of Dynamically Formed Black Holes
- Math-12308 Local Weak Cosmic Censorship in Charged Spherical Collapse
- Math-12309 Equality of Capacity–Volume and ADM Mass
- Math-12310 Completeness of Realignment and SIC-POVM Entanglement Tests
- Math-12311 Spin-Alignment Entropy Conjecture
- Math-12312 Trigonometric and Elliptic R-Matrices from Three-Dimensional WZW Models
- Math-12313 $u$-Equations for Arbitrary Hyperbolic Surfaces
- Math-12314 Affine–Virasoro Derivation of Nekrasov Blow-Up Identities
- Math-12315 Fivebrane Filtrations and Holomorphic Field Theories
- Math-12316 Conformal Invariance of Interacting Long-Range Fermionic Models
- Math-12317 Euclidean Extension of Hierarchical Susceptibility Asymptotics
- Math-12318 Mathematical Construction of the Negative-Phase Coulomb Category
- Math-12319 Knots–Quivers Correspondence for All Knots
- Math-12320 Instance-Independent Drivers in Quantum Annealing
- Math-12321 Fluctuation Limits for Moderately Interacting Particle Systems
- Math-12322 Continuation of Nordheim Condensation Beyond Dirac-Mass Formation
- Math-12323 Quantum-Symmetric Classes of Artin–Schelter Regular Algebras
- Math-12324 Periodic Ground States in Gross–Pitaevskii Theory
- Math-12325 Adiabatic Expansions for Gapless Quantum Systems
- Math-12326 Accelerated Information Propagation in Bosonic Lattices
- Math-12327 Aubin–Talenti Optimizers for Critical Dirac Potentials
- Math-12328 Lee–Huang–Yang Upper Bound for Hard-Sphere Bosons
- Math-12329 Modular Generators for Massive Double Cones
- Math-12330 Local Density Approximation for the Canonical Functional
- Math-12331 Higher-Dimensional Semiclassical Kinetic-Energy Corrections
- Math-12332 Fermionic Character of Low-Lying Excitations
- Math-12333 From Dislocation Mechanics to Continuum Plasticity
- Math-12334 Nonperiodic and Nonquadratic FFT Schemes for Materials
- Math-12335 Dissipation and Interface Misorientation in Phase-Field Plasticity
- Math-12336 Ericksen Universal Deformations of Incompressible Solids
- Math-12337 Multiphysics Frameworks for Computational Homogenization
- Math-12338 Finite-Shear Hashin–Shtrikman Bounds and Rod–Hinge Deformations
- Math-12339 Lower Bounds for Hamiltonian Mass
- Math-12340 Vacuum Failure of the Third Law of Black-Hole Thermodynamics
- Math-12341 Rigorous Construction of Conformal Field Theories
- Math-12342 Open Structures in Compactified Imaginary Liouville Theory
- Math-12343 Robustness of Climate Models at Unresolved Scales
- Math-12344 Mechanisms and Scales of Tropical-Cyclone Edge Intensification
- Math-12345 Entrainment-Mediated Tropical-Cyclone Intensification
- Math-12346 Cloud-Organization Limit Cycles
- Math-12347 Dynamics Near Generic Spacetime Singularities
- Math-12348 Uniqueness of Spherical Schwarzschild–Anti-de Sitter Spacetimes
- Math-12349 Teukolsky Energy Decay on Extremal Kerr Spacetimes
- Math-12350 Stability of Extremal Critical Collapse