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-12251 Metric-Tensor Scaling in Liouville Quantum Gravity
- Math-12252 Strong-Interaction Limits of the Hohenberg–Kohn Functional
- Math-12253 Sharp Convergence Domains for Cluster Expansions
- Math-12254 Infinite-Dimensional K-Moment Problems in Quantum Field Theory
- Math-12255 QQ Systems for Spectral Determinants and Integrable Models
- Math-12256 Lower-Bounded Hamiltonians for Many-Body Point Interactions
- Math-12257 Quantum Backflow Bounds with External Potentials
- Math-12258 Variational GENERIC Structure and Preserving Integrators
- Math-12259 Euclidean Reconstruction of Relativistic Quantum Field Theories
- Math-12260 Symmetry Identities Beyond Renormalization-Group Methods
- Math-12261 Osterwalder–Schrader Positivity in Free Probability
- Math-12262 Quantum Optimal Transport for Mean-Field Dynamics
- Math-12263 Low-Parameter Hyperelastic Models of Brain Tissue
- Math-12264 Far-From-Threshold Buckling of Indented Spherical Shells
- Math-12265 Regularized Density-to-Potential Maps in Density Functional Theory
- Math-12266 Factorial Lattice-Regularity Bounds for Equilibrium Displacements
- Math-12267 Functional Differential Equations for Many-Body Green Functions
- Math-12268 Selecting Physical Solutions of Many-Body Green-Function Equations
- Math-12269 Topological Defects in Three-Dimensional Polycrystals
- Math-12270 Higher-Order Tsirelson, Kirchberg, and Connes Problems
- Math-12271 Linear Entropy and Rank Inequalities for Quantum Marginals
- Math-12272 Arithmetic Nature of Delocalized Eta Invariants
- Math-12273 All-Order Expansion of the Noncommutative $\Phi^4$ Model
- Math-12274 Axisymmetry of Spherical Near-Horizon Geometries
- Math-12275 Weak Cosmic Censorship in Asymptotically Flat Spacetimes
- Math-12276 Horizon Topology Changes and Stable Higher-Dimensional Black Holes
- Math-12277 Nonlinear Instability of Anti–de Sitter Spacetime
- Math-12278 Reverse Burnett Problem for Einstein–Vlasov Limits
- Math-12279 Area–Angular-Momentum Inequalities with Nonpositive Cosmological Constant
- Math-12280 Global Geometric Inequalities for Material Bodies
- Math-12281 Hawking Energy Limits and the Null Penrose Inequality
- Math-12282 Global Attractors for Expanding Torus Symmetric Spacetimes
- Math-12283 Thermodynamic Fluid–Solid Phase Transitions
- Math-12284 Variance Feedback in Cloud Boundary-Layer Models
- Math-12285 Higher-Order Failure of the Quantum Linear Boltzmann Limit
- Math-12286 Long-Time Landau–Pekar Dynamics of Strongly Coupled Polarons
- Math-12287 Logarithmic Entanglement Enhancement from Partial Delocalization
- Math-12288 Loop Operators and Microscopic Nonabelian Anyons
- Math-12289 Sharp Free Energy of the Two-Dimensional Heisenberg Ferromagnet
- Math-12290 Conformal Field Theory Realizations of Subfactors
- Math-12291 Equivalent Bicommutant Categories from Nonisomorphic Conformal Nets
- Math-12292 Classification of Subnets of Conformal Nets
- Math-12293 Small-Weight Quantum Operations on Lattice Conformal Nets
- Math-12294 Hypergroup Correspondence for Discrete Conformal Subnets
- Math-12295 Canonical Equivalence of Complex and Lagrangian Quantizations
- Math-12296 Monolithic versus Staggered Magnetomechanical Relaxation
- Math-12297 Numerical Schemes for Coupled Fracture and Dissipation
- Math-12298 Bilinear Forms behind Resistor and Ising Integrable Equations
- Math-12299 Emergence of Isotropic Big-Bang Singularities
- Math-12300 Bartnik’s Stationary Vacuum Extension Conjecture