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-4801 A feasibility sieve for negative-energy binary-single direct scattering
- Math-4802 Full-space mass-splitting criterion for prograde relative periodic orbits
- Math-4803 Multipartite Dense-Coding Capacity
- Math-4804 LOCC Dense-Codeability of the Four-Qubit W State
- Math-4805 Facial Structure of Classical and Quantum Correlation Sets
- Math-4806 Connections Between CGLMP Inequalities and Quantum Field Theory
- Math-4807 Positive Maps and Multipartite Bound Entanglement
- Math-4808 Systematic Multiscale Design of Hierarchical Materials
- Math-4809 Relationship Between Two-Species Condensates
- Math-4810 Physical Interpretation of Elliptic Partition Functions
- Math-4811 Physical Regularity Criteria for Massless Scattering Theory
- Math-4812 Bounded Local Observables in Factorizing Quantum Field Theories
- Math-4813 Renormalization through Langmann–Szabo Duality
- Math-4814 Geometric Spin–Statistics under Weakened Assumptions
- Math-4815 Spectral Geometry and Cyclic Homology of $SU_q(2)$
- Math-4816 Scaling Limits of Tensor Products in AQFT
- Math-4817 Heterotic Mirror Symmetry for Bundled Calabi–Yau Manifolds
- Math-4818 Deformations and Massless Spectra of Smooth Deligne–Mumford Stacks
- Math-4819 Infrared Equivalence of Stack Presentations
- Math-4820 Gauge Fixing for Quantum Vertex Algebra Deformations
- Math-4821 Hoop Conjecture for Black-Hole Formation
- Math-4822 Orthotropic Extensions of Anisotropic Creep-Damage Models
- Math-4823 Nonperturbative Infrared Behavior of Nonamenable Sigma Models
- Math-4824 Continuous-Spectrum Analysis of Nelson-Type Models
- Math-4825 Higher-Dimensional Thermodynamic Limits
- Math-4826 Quantum Zeta Functions for Mirror Calabi–Yau Threefolds
- Math-4827 Mechanisms Producing Equatorial Superrotation
- Math-4828 Topographic Rossby Waves and Inertial-Wave Coexistence
- Math-4829 Linear Baroclinic Prediction of Ocean Eddies
- Math-4830 Global Well-Posedness and Uniqueness of Gravity-Capillary Waves
- Math-4831 Density of Current–Current Correlation Measures
- Math-4832 Wang–Ostrik Finiteness Conjecture for Fusion Categories
- Math-4833 Current Criteria for Phase Separation in Driven Systems
- Math-4834 Rigid Order–Disorder Interfaces in Continuous-Spin Models
- Math-4835 Stability of Schwarzschild Black Holes Under Perturbation
- Math-4836 Thermal Conductivity Under Asymmetric Momentum Noise
- Math-4837 Energy Transmission in Strongly Pinned Networks
- Math-4838 Constitutive Models for Oscillatory Micellar Sedimentation
- Math-4839 Massless and Point-Charge Limits of the Pauli–Fierz $g$-Factor
- Math-4840 First-Principles Derivation of Adaptive-Resolution Molecular Dynamics
- Math-4841 Efficient Coarse-Grained Free-Energy Computation
- Math-4842 Nonconvex Gradient Gibbs States and Free Energy
- Math-4843 Critical Transition and Pattern Scales in Shear Turbulence
- Math-4844 Homogeneous Factorizations Producing Type-II Arveson Systems
- Math-4845 E0-Semigroups from Free Product Systems
- Math-4846 Adapted Cocycles and Tensor Subsystems of Free Filtrations
- Math-4847 Recovering Spatial Tensor Systems by Intersection
- Math-4848 Ambient-Algebra Independence of Exchangeable Independence
- Math-4849 Extremal Exchangeability Beyond Natural Noncommutative Products
- Math-4850 Extending Dilated E0-Semigroups Beyond GNS Representations