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-3851 Genus Monotonicity and Klein-Bottle Willmore Minimizers
- Math-3852 Vectorial Allen–Cahn Limits Without Energy Convergence
- Math-3853 Dimension-Free Neumann Eigenvalue-Ratio Bounds
- Math-3854 Pleijel Constants and Steklov–Robin Duality
- Math-3855 Universal Steklov Isoperimetric Questions
- Math-3856 Tate-Shafarevich Finiteness for Tori over Function Fields
- Math-3857 Non-Density of Toric Galois Loci
- Math-3858 Anabelian Interpretation of Homomorphisms between Fundamental Groups
- Math-3859 Homeomorphism Conjecture for Moduli of Fundamental Groups
- Math-3860 Strict Higher Étale-Homotopy Obstructions over Global Fields
- Math-3861 Next-Most-Probable Galois Groups of Random Polynomials
- Math-3862 Equivariant Stable Connectivity in Higher Representation Dimension
- Math-3863 Picard and Brauer Groups of Stable Module Blocks
- Math-3864 Balmer Spectra of Equivariant Eilenberg–MacLane Modules
- Math-3865 Compactly Generated t-Structures on Schemes and dg Rings
- Math-3866 Support-Filtration Classification of Compactly Generated t-Structures
- Math-3867 Spectrum Comparison for Finite Tensor Categories
- Math-3868 Canonical Harmonic Metrics on Noncompact Riemann Surfaces
- Math-3869 Equivariant Splitting of A-Theory
- Math-3870 Equivariant Algebraic K-Theory of Stable h-Cobordisms
- Math-3871 Coherence of Equivariant Formal-Group Moduli Stacks
- Math-3872 Topological Modular Forms over Generalized Elliptic Curves
- Math-3873 Fully Faithful Enveloping Algebras for Spectral Lie Algebras
- Math-3874 Convergence of Multiplicative Polynomial Averages
- Math-3875 Settled Frobenius Elements in Arboreal Representations
- Math-3876 Algebraic Framework for Stochastic Gauge Symmetries
- Math-3877 Rational Duality among Crystallographic Coxeter Groups
- Math-3878 Profinite Invariance among Finite-Rank Coxeter Groups
- Math-3879 BNSR Invariants of Algebraic Bieri–Strebel Groups
- Math-3880 Integral Finiteness from Rational or Modular Finiteness
- Math-3881 Quasi-Isometry Invariance and RAAG Analogues for TDLC Groups
- Math-3882 Embedding $\sigma$-Compact TDLC Groups
- Math-3883 Profinite Rigidity of Rational Euler Characteristics for Coxeter Groups
- Math-3884 Generic Anisotropy of Simplicial Spheres
- Math-3885 Noncompact Casacuberta-Dicks Conjecture
- Math-3886 Growth of Triangulated Homology Three-Spheres
- Math-3887 Even-Dimensional Stress-Space Reconstruction
- Math-3888 Hodge–Riemann Relations for Convex Valuations
- Math-3889 Belavin–Drinfeld Cluster Correspondence
- Math-3890 Canonical Decomposition Cones and TF Equivalence
- Math-3891 Algebraicity of Labelled Well-Quasi-Ordered Permutation Classes
- Math-3892 Rationality Below Growth Rate Four
- Math-3893 Moment Sequences from Matching Pattern Avoidance
- Math-3894 Diagonal Permuton Limits for Skew-Sum Avoidance
- Math-3895 Fomin-Kirillov Algebras as Nichols Algebras
- Math-3896 Cohomology and Balmer Spectra of Hopf Algebras
- Math-3897 Nichols Algebras over Nonabelian Simple Groups
- Math-3898 Stability Manifolds for Threefold Flops
- Math-3899 Layer Growth in the Coxeter Galaxy
- Math-3900 Finite Moves for Coxeter Presentations