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-12151 Higher-Dimensional Thermodynamic Limits
- Math-12152 Quantum Zeta Functions for Mirror Calabi–Yau Threefolds
- Math-12153 Mechanisms Producing Equatorial Superrotation
- Math-12154 Topographic Rossby Waves and Inertial-Wave Coexistence
- Math-12155 Linear Baroclinic Prediction of Ocean Eddies
- Math-12156 Global Well-Posedness and Uniqueness of Gravity-Capillary Waves
- Math-12157 Density of Current–Current Correlation Measures
- Math-12158 Wang–Ostrik Finiteness Conjecture for Fusion Categories
- Math-12159 Current Criteria for Phase Separation in Driven Systems
- Math-12160 Rigid Order–Disorder Interfaces in Continuous-Spin Models
- Math-12161 Stability of Schwarzschild Black Holes Under Perturbation
- Math-12162 Thermal Conductivity Under Asymmetric Momentum Noise
- Math-12163 Energy Transmission in Strongly Pinned Networks
- Math-12164 Constitutive Models for Oscillatory Micellar Sedimentation
- Math-12165 Massless and Point-Charge Limits of the Pauli–Fierz $g$-Factor
- Math-12166 First-Principles Derivation of Adaptive-Resolution Molecular Dynamics
- Math-12167 Efficient Coarse-Grained Free-Energy Computation
- Math-12168 Nonconvex Gradient Gibbs States and Free Energy
- Math-12169 Critical Transition and Pattern Scales in Shear Turbulence
- Math-12170 Homogeneous Factorizations Producing Type-II Arveson Systems
- Math-12171 E0-Semigroups from Free Product Systems
- Math-12172 Adapted Cocycles and Tensor Subsystems of Free Filtrations
- Math-12173 Recovering Spatial Tensor Systems by Intersection
- Math-12174 Ambient-Algebra Independence of Exchangeable Independence
- Math-12175 Extremal Exchangeability Beyond Natural Noncommutative Products
- Math-12176 Extending Dilated E0-Semigroups Beyond GNS Representations
- Math-12177 Future Restrictions of Inner Automorphic Dilations
- Math-12178 Classification of Spatial and Nonspatial Markov Semigroups
- Math-12179 Multiparameter E0-Semigroups from Free Product Systems
- Math-12180 Group-Valued Lévy Processes with Type-II Arveson Systems
- Math-12181 Efficient Reduced Free-Energy Computation for Atomistic Systems
- Math-12182 Local Approximations of Electronic Spectral Projectors
- Math-12183 Mathematical Classification of Atomic Chemical Groups
- Math-12184 Stability of Atomic Ground-State Quantum Numbers
- Math-12185 Sigma Models with Noncommutative Target Spaces
- Math-12186 Geometric Collapse in the Toroidal Six-Vertex Model
- Math-12187 Rooted-Tree Expansions of Renormalized Two-Point Functions
- Math-12188 Nonlinear Stability of the Full Kerr Family
- Math-12189 Uniqueness of Stationary Black-Hole Exteriors
- Math-12190 Weak Cosmic Censorship for Einstein–Vlasov
- Math-12191 Strong Cosmic Censorship for Spherical Einstein–Vlasov Collapse
- Math-12192 Physical Realizability of Quantum Computation
- Math-12193 Casimir-Connection Monodromy and Quantum Weyl Groups
- Math-12194 Large-Scale Mechanisms Driving Atmospheric Monsoons
- Math-12195 Oceanic Mid-Depth Stratification and Overturning Circulation
- Math-12196 Potential Temperature and Potential Vorticity Inversion
- Math-12197 Predictive Thermostated Dynamics and Subgrid Reservoir Modeling
- Math-12198 Nonlinear Coupling of Buoyancy Reversal and Radiation
- Math-12199 Errors in Long Equatorial Wave Models
- Math-12200 Coupling and Learning Strategies for Climate Supermodels