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-14251 Exact Thresholds for Rainbow Matchings in Hypergraphs
- Math-14252 Local Count Thresholds for Bounded-Degree Embeddings
- Math-14253 Biased Sub-Balanced Slices of Boolean Functions
- Math-14254 Very Ample Internal Strongly Minimal Sets
- Math-14255 Elementary Extensions of Definable Group Dynamics
- Math-14256 Stratification by Canonical Definable Partitions
- Math-14257 Workshop Contents Listing for Low-Dimensional Topology
- Math-14258 Trisection Distance Bounds from Nonseparating Hypersurfaces
- Math-14259 Background on Circle Actions and the L-Space Conjecture
- Math-14260 Genus-Free Intersection Bounds for Embedded Graphs
- Math-14261 Background on Cable Sliceness and Genus Bounds
- Math-14262 Incomplete Slice-Missing-Slice-Disc Lead-In
- Math-14263 Figure-Dependent Slice Curves in Disc Complements
- Math-14264 Lipschitz Concordance Homomorphisms for Braid Quasimorphisms
- Math-14265 Concordance Homomorphisms from Knot Floer Modules
- Math-14266 Isomorphism Type of the Khovanov-Complex Concordance Group
- Math-14267 Homeomorphism Classification of Compact Oriented Four-Manifolds
- Math-14268 Equality of Involutive and Arf Knot Invariants
- Math-14269 Oort’s Hecke-Orbit Conjecture
- Math-14270 Local Nonvanishing in Arithmetic Gan–Gross–Prasad Theory
- Math-14271 Langlands–Rapoport Conjecture for Parahoric Level
- Math-14272 Dualizing Complexes and p-Torsion on the Fargues–Fontaine Curve
- Math-14273 Naive Local–Global Compatibility Formulation
- Math-14274 Local-Model Description of Shimura Varieties
- Math-14275 Conjectures on Resolutions and Singular Rings
- Math-14276 Normalized Ext Limits and Epsilon Multiplicity
- Math-14277 Singularity Categories as Invariants of Singularities
- Math-14278 Uniform Expansion Stability for Wild Quivers
- Math-14279 Mutation Theories from Extriangulated Categories
- Math-14280 Comparison of Integral and Truncated-Polynomial Birkhoff Categories
- Math-14281 Uniqueness of Surface Models for Locally Gentle Algebras
- Math-14282 Module Parametrization by $F$-Polynomials
- Math-14283 Behavioral and Seasonal Effects on COVID-19 Transmission
- Math-14284 Exchangeability Tests for Branching in Timed Phylogenies
- Math-14285 Semilattice Realizations by Wedge Semibraces
- Math-14286 Non-Desarguesian Plane Lattices as Bricks
- Math-14287 Monoid and Group Invariants of qL-Algebras
- Math-14288 Trivialization Structures for Nondegenerate Cycle Sets
- Math-14289 Cycle Set Deformations into Cycloids
- Math-14290 Centrally Nilpotent Skew Braces of Maximal Class
- Math-14291 Semi-Affine Structures and Skew Brace Constructions
- Math-14292 Critical Random Walks on Percolation Clusters
- Math-14293 Finite-Time Singularities in Free-Boundary Fluid Models
- Math-14294 Unspecified Reinforced Random Process Problem
- Math-14295 Persistent Hubs under Preferential-Attachment Removal
- Math-14296 Mathematical Characterization of Condensation in Reinforced Systems
- Math-14297 Unspecified Weak Space-Time PDE Optimization Problem
- Math-14298 Positivity of Noncommutative State Polynomials on Convex Sets
- Math-14299 Convexity of Odd-Power Sum-of-Squares Cones
- Math-14300 Dagger Closure of Trace-Positive Noncommutative Polynomials