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-4851 Future Restrictions of Inner Automorphic Dilations
- Math-4852 Classification of Spatial and Nonspatial Markov Semigroups
- Math-4853 Multiparameter E0-Semigroups from Free Product Systems
- Math-4854 Group-Valued Lévy Processes with Type-II Arveson Systems
- Math-4855 Efficient Reduced Free-Energy Computation for Atomistic Systems
- Math-4856 Local Approximations of Electronic Spectral Projectors
- Math-4857 Mathematical Classification of Atomic Chemical Groups
- Math-4858 Stability of Atomic Ground-State Quantum Numbers
- Math-4859 Sigma Models with Noncommutative Target Spaces
- Math-4860 Geometric Collapse in the Toroidal Six-Vertex Model
- Math-4861 Rooted-Tree Expansions of Renormalized Two-Point Functions
- Math-4862 Nonlinear Stability of the Full Kerr Family
- Math-4863 Uniqueness of Stationary Black-Hole Exteriors
- Math-4864 Weak Cosmic Censorship for Einstein–Vlasov
- Math-4865 Strong Cosmic Censorship for Spherical Einstein–Vlasov Collapse
- Math-4866 Physical Realizability of Quantum Computation
- Math-4867 Casimir-Connection Monodromy and Quantum Weyl Groups
- Math-4868 Large-Scale Mechanisms Driving Atmospheric Monsoons
- Math-4869 Oceanic Mid-Depth Stratification and Overturning Circulation
- Math-4870 Potential Temperature and Potential Vorticity Inversion
- Math-4871 Predictive Thermostated Dynamics and Subgrid Reservoir Modeling
- Math-4872 Nonlinear Coupling of Buoyancy Reversal and Radiation
- Math-4873 Errors in Long Equatorial Wave Models
- Math-4874 Coupling and Learning Strategies for Climate Supermodels
- Math-4875 Strict Positivity for Fourth-Order Quantum Diffusion
- Math-4876 Vanishing and Uniqueness of Quantum Diffusion Solutions
- Math-4877 Bose–Einstein Condensation in Quantum Boltzmann Dynamics
- Math-4878 Boltzmann–Grad Limits for the Lorentz Gas
- Math-4879 Uniqueness in the Boltzmann–Nordheim Condensate Model
- Math-4880 Energy Cost of Density Defects in Fermi Seas
- Math-4881 Momentum-Space Scarring on Irrational Point-Scatterer Tori
- Math-4882 Semiclassical Measures and Exceptional Eigenmodes
- Math-4883 Quantum Variance Conjectures for Matrix Elements
- Math-4884 Many-Body Localization at Positive Density
- Math-4885 Classification of Gapped Ground-State Phases
- Math-4886 $L^2$-Cohomology of Strongly Centered Monopole Moduli Spaces
- Math-4887 Asymptotic Metrics for Higher-Rank Monopoles
- Math-4888 Nonlinear Stability of Subextremal Kerr Black Holes
- Math-4889 Nonaxisymmetric Stability of Extremal Kerr Waves
- Math-4890 Critical Ultrarelativistic Black-Hole Collision Solutions
- Math-4891 Regular Conformal Equations for Matter with Nonzero Trace
- Math-4892 Non-Disappearance of Nonnegative Scalar-Curvature Limits
- Math-4893 Resonant Mode Mixing in Anti-de-Sitter Instability
- Math-4894 Open Problems in Geometric Nonlinear Quantum Dynamics
- Math-4895 Multipartite Quantum Data Hiding with Separable States
- Math-4896 Absolutely Continuous Diffraction and Dynamical Spectra
- Math-4897 Periodic Gibbs Phases in Two Dimensions
- Math-4898 Quasicrystalline Gibbs Phases in Higher Dimensions
- Math-4899 Reflection-Positivity Research Questions
- Math-4900 Construction of K-Matrices for Coideal Subalgebras