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-4651 Cover Decomposability of Planar Convex Sets
- Math-4652 Connectivity of Nonnegative Flats in Weighted Matroids
- Math-4653 Circumscribed $2n$-Facet Polytopes around the Unit Ball
- Math-4654 Essential Hyperplane Covers of the Boolean Cube
- Math-4655 Permanent Bounds for Diffuse Doubly Stochastic Matrices
- Math-4656 Conformal Radius Bounds for Polynomial Siegel Disks
- Math-4657 Rotation Domains and Solenoid Models in Higher-Dimensional Dynamics
- Math-4658 Uniqueness of Maximal Entropy Measures for Surface Maps
- Math-4659 Wandering Domains, Hyperbolicity, and Thurston Algorithms
- Math-4660 Invariance of $L^2$-Torsion Under Large-Scale Equivalence
- Math-4661 Uniqueness for Averaged Whitham Equations
- Math-4662 Spherical Plancherel Decomposition of $p$-Adic Symmetric Varieties
- Math-4663 Cofinite Models for Universal Proper-Action Spaces
- Math-4664 Prorepresentable Obstructions for Local Action Deformations
- Math-4665 Classification of Wild Quotient Surface Singularities
- Math-4666 Disorder Relevance in Pinning and Renewal Models
- Math-4667 Self-Similar Shock Diffraction by Wedges
- Math-4668 Nonlinear Stability of Periodic Reaction–Diffusion Waves
- Math-4669 Universal Lefschetz Parameters for Neighborly Spheres
- Math-4670 Irreducibility of Gorenstein-Algebra Families with Fixed Hilbert Function
- Math-4671 Eventual Lefschetz Dichotomies for Symmetric Ideal Chains
- Math-4672 Eventual Linearity of Homological Invariants in Symmetric Ideal Chains
- Math-4673 Persistence and Exit Times of Integrated Self-Similar Processes
- Math-4674 Speed Convergence in Convex Hull Avoiding Walks
- Math-4675 Bott–Chern and Aeppli Cohomology for Almost-Complex Manifolds
- Math-4676 Topological Obstructions to Integrability of Geometric Structures
- Math-4677 Cohomology Rings of Almost-Complex Manifolds
- Math-4678 Minimal Discontinuity Under Continuous Weihrauch Reducibility
- Math-4679 Incompleteness and Self-Consistency Below Robinson Arithmetic
- Math-4680 Free-Boundary Dimer Convergence to Arc Loop Ensembles
- Math-4681 Sharp Relations Between Knot Ropelength and Crossing Number
- Math-4682 Support of Renormalized Singular Stochastic Equations
- Math-4683 Displaceability of Lagrangian Toric Fibers
- Math-4684 Regular Octahedra Inscribed in Smooth Two-Spheres
- Math-4685 Admissible Groups over Global Function Fields
- Math-4686 Infinite Rank of Abelian Varieties over $\mathbb Q^{\mathrm{ab}}$
- Math-4687 Local–Global Principles for Homogeneous Spaces over Semi-Global Fields
- Math-4688 Existence and Smoothness of Dirichlet Eigenvalue Minimizers
- Math-4689 Boundary Corrections to Li–Yau Eigenvalue Bounds
- Math-4690 Lieb–Thirring Refinements and the Ovals Conjecture
- Math-4691 Boundary Corrections to Domain Lieb–Thirring Constants
- Math-4692 Magnetic Lieb–Thirring Constants and Geometric Critical Exponents
- Math-4693 Weighted Yamabe Heat-Trace Comparison
- Math-4694 Monotonicity of Weighted Yamabe Heat Traces
- Math-4695 Extreme Gravity-Capillary Waves with General Vorticity
- Math-4696 Heart-Independent Hochschild Characteristic Homomorphisms
- Math-4697 Maximal Complexity of Non-p-by-p Specht Modules
- Math-4698 Complexity Drops for p-by-p Specht Modules
- Math-4699 Rank Varieties of Specht Modules
- Math-4700 Atypicality and Support Varieties of Simple Supermodules