Top Open Problems
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-3801 Codegree Thresholds for Hypergraph Hamilton Cycles
- Math-3802 Threshold Constants for Asymmetric Random Ramsey Properties
- Math-3803 Smoothness of Ekedahl–Kottwitz–Oort–Rapoport Strata
- Math-3804 Resistance Exponents of Critical Branching Random-Walk Traces
- Math-3805 Attainable Sum Distributions and Joint Mixability
- Math-3806 Logical Phase Transitions for Graph-Minor Principles
- Math-3807 Boffa’s Set-Theoretic Automorphism Conjecture
- Math-3808 Weak-Arithmetic Pigeonhole Principles
- Math-3809 Bounded-Depth Pigeonhole Proofs and Prime Infinitude
- Math-3810 Displacement Convexity and Ricci Curvature
- Math-3811 Affine Crystal Structures on Quantum Demazure Modules
- Math-3812 Reconstruction of Extended Affine Lie Algebras from Lie Tori
- Math-3813 Alexandrov Uniqueness Conjecture for Convex Surfaces
- Math-3814 Covariogram Determination of Convex Bodies
- Math-3815 Generalized Covariograms of Planar Convex Bodies
- Math-3816 Thin-Shell Concentration for Isotropic Convex Bodies
- Math-3817 Approximation of Smooth Convex Bodies by Inscribed Polytopes
- Math-3818 Banach–Mazur Bounds and Mean Width of Inscribed Polytopes
- Math-3819 Convex-Body Reconstruction from Seven Parallel X-Rays
- Math-3820 Birational Geometry of Ball-Quotient Moduli Spaces
- Math-3821 Irreducibility of Severi Varieties on Polarized K3 Surfaces
- Math-3822 Generic Finiteness of K3 Severi Moduli Maps
- Math-3823 Kodaira Dimension of K3 Severi Images
- Math-3824 Brill–Noether Intersections of K3 Moduli Images
- Math-3825 Degenerations and Compactifications of Hyperkähler Manifolds
- Math-3826 Closedness of the K3 Locus and Fake K3 Surfaces
- Math-3827 Compactifiable Lagrangian Fibrations from Abelian Fibrations
- Math-3828 Quasiconvexity of Multiple-Valued Integrands
- Math-3829 Collapse of Multivalued Minimizers with Single-Valued Boundary Data
- Math-3830 Invariant Valuations for Noncompact Groups
- Math-3831 Reconstruction of Convex Bodies from Congruent Projections
- Math-3832 Reconstruction from Directly Congruent Convex Projections
- Math-3833 NIP Preservation under Henselian Valuations
- Math-3834 Generic Transitivity and Projective Linear Actions
- Math-3835 Complete Graph Immersions from Minimum Degree
- Math-3836 Exact Indices of Orthogonal Grassmannians
- Math-3837 Kato Cohomology Kernels of Quadratic Pfister Forms
- Math-3838 Cohomology Kernels for Inseparable Pfister Composita
- Math-3839 Koszulness from Vanishing Higher Koszul Homology
- Math-3840 Intrinsic Gerstenhaber Brackets from Projective Resolutions
- Math-3841 Finite Generation of Birational-Sequence Monoids
- Math-3842 Cohomology of General Sheaves on Polarized Surfaces
- Math-3843 Classification of Unexpected Curves Through Point Sets
- Math-3844 Ordinary Degree-d Curves Through Finite Point Sets
- Math-3845 Ricci Flow Uniqueness from Metric Space Initial Data
- Math-3846 Desingularization of Kähler–Einstein Metrics
- Math-3847 Birkhoff Sections for Three-Dimensional Reeb Flows
- Math-3848 Regularity of Weak Hamiltonian-Minimal Legendrian Surfaces
- Math-3849 Rigidity and Symmetry of Steady Ricci Solitons
- Math-3850 Classification of Noncollapsed Four-Dimensional Steady Solitons