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-3951 Regularity of Fractional Multiphase Interfaces
- Math-3952 Continuity of Gradient Distance for Monotone Equations
- Math-3953 Pointwise Quadratic Bounds for Extremal Solutions
- Math-3954 Classification of Stable Allen-Cahn Configurations
- Math-3955 Two-Dimensionality of Low-Energy Abelian Higgs Fields
- Math-3956 Boundary Uniqueness on Lipschitz Domains
- Math-3957 Sharp Bianchi-Egnell Stability Constant
- Math-3958 Bianchi-Egnell Optimizers
- Math-3959 Higgs Bundles Arising from p-Adic Galois Representations
- Math-3960 Large-Genus Cylinder Decompositions of Square-Tiled Surfaces
- Math-3961 Masur-Veech Equidistribution of Individual Twist Tori
- Math-3962 Poisson Laws across Boundary Regimes of Random Hyperbolic Surfaces
- Math-3963 Little Three-Disks Actions on Operadic Homotopy Centers
- Math-3964 Left-Exact Characterization of Enriched Topoi
- Math-3965 Einstein Boundary Regularity with Positive Cosmological Constant
- Math-3966 Classification of Static Near-Horizon Geometries
- Math-3967 Realization and Classification of Poincaré Duality Four-Complexes
- Math-3968 Finiteness of Fibered Strongly Quasipositive Knots in Concordance Classes
- Math-3969 Concordance Rigidity of Braid-Positive Knots
- Math-3970 Exceptional Collections on Noncommutative Del Pezzo Surfaces
- Math-3971 Maximal Modifying Algebras for Canonical Threefold Singularities
- Math-3972 Classification of Noncommutative Hypersurfaces
- Math-3973 Ozone Groups of Calabi-Yau and PI AS-Regular Algebras
- Math-3974 Degeneration and Purity of Local-Field Adic Systems
- Math-3975 Index Divisibility in p-Power Pullbacks of Curves
- Math-3976 Outer Automorphisms of p-Adic Absolute Galois Groups
- Math-3977 Finite Index of Arithmetic Dehn-Twist Subgroups
- Math-3978 Brownian Loop Measure for Stochastic Geometric Heat Flow
- Math-3979 Resolved Equilibration-Time Lead-In for Open-Boundary ASEP
- Math-3980 Moy-Prasad Data and Langlands Parameters
- Math-3981 Sheaves on Bundles and Isocrystals
- Math-3982 Weighted Fundamental Lemma for Classical Groups
- Math-3983 Log-Concave Busemann-Petty Problems
- Math-3984 Schneider Higher-Order Difference-Body Conjecture
- Math-3985 Complex and Quaternionic Affine Quermassintegral Inequalities
- Math-3986 Minkowski Problem for Asymptotic Convex Sets
- Math-3987 Complete Bipartite Subgraphs and Connected Matchings at $\alpha=2$
- Math-3988 Robertson’s Surface Four-Flow Conjecture
- Math-3989 The Multicolored Geometric Erdős–Hajnal Conjecture
- Math-3990 Generic Point Property for Exceptional Surface Homeomorphisms
- Math-3991 Mouse-Set Property Without a Cone Restriction
- Math-3992 Idealistic Equivalence Relations and Orbit Relations
- Math-3993 HOD Failure at Uncountable Cofinality
- Math-3994 Measurable-Cardinal Strength of Minimal Namba Collapse
- Math-3995 Hyperfiniteness of Minimal-Subshift Conjugacy
- Math-3996 Generating Sets Realizing Minimal Growth
- Math-3997 $L^p$ Cohomology at the Semisimple Rank Threshold
- Math-3998 Profinite Reconstruction of Complex Projective Varieties
- Math-3999 Profinite Genera and Simple Kähler Groups
- Math-4000 Profinite Rigidity with Free Edge Groups