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-14201 Practice-Based Histories of Applied Mathematics
- Math-14202 Intermediate Distributions in Stochastic Numerical Homogenization
- Math-14203 Homogenization of Nonlinear Plasticity
- Math-14204 Li–Szegedy Smooth-Retract Conjecture
- Math-14205 Finite Subgroups and Torsion Primes of Cremona Groups
- Math-14206 Existence of Random-Graph Coloring Growth Rates
- Math-14207 KPZ Boundaries in Cutoff Branching Random Walk
- Math-14208 Spectra of Multi-Crossing Knot Numbers
- Math-14209 Symplectic Measure of Two-Component Link Types
- Math-14210 End Angles of Tight Open Knots
- Math-14211 High-Dimensional Limits of Metric-Measure Spaces
- Math-14212 Expository Transition to Adelic Hecke Operators
- Math-14213 Wild McKay Identity for Crepant Resolutions
- Math-14214 Merkurjev–Suslin Theory for Higher Massey Products
- Math-14215 Valuative Form of Grothendieck's Section Conjecture
- Math-14216 The Value Nine and Universality for Quadratic-Form Invariants
- Math-14217 Lott Secondary Index and Transfer Compatibility
- Math-14218 Einstein Metric Gluing by Reverse Bubbling
- Math-14219 Global Rigidity of Diophantine Pseudo-Rotations
- Math-14220 Recovering Three-Manifold Topology from Contact Dynamics
- Math-14221 Dynamics of Large-Coupling Quasiperiodic Schrödinger Cocycles
- Math-14222 Efficient Relation Generation for Curve Class Groups
- Math-14223 Fluctuation Order in First-Passage Percolation
- Math-14224 Typical Properties of Marked Grigorchuk Groups
- Math-14225 Bounded Maps Between Close Operator Algebras
- Math-14226 Generalized Pimsner–Voiculescu Embeddings
- Math-14227 Dini Spaces as Primitive Spectra of Amenable $C^*$-Algebras
- Math-14228 Uniqueness and Existence of Link-Invariant Categorifications
- Math-14229 D-Brane Equivalence Across Calabi–Yau Phases
- Math-14230 Controlled K-Theory for Farrell–Jones Assembly Maps
- Math-14231 Zero Entropy Measures for Higher Rank Toral Actions
- Math-14232 Intrinsic Criteria for Expected L-Function Properties
- Math-14233 Global L-Functions from Adelic Cyclic Homology
- Math-14234 Noncommutative Geometry of Automorphic Function Spaces
- Math-14235 Involutions and Accuracy in Constrained PDE Methods
- Math-14236 Constraint-Preserving Methods for Maxwell-Coupled Systems
- Math-14237 Involution Structure and Stability of MHD Solvers
- Math-14238 Specification Testing for Higher-Order GARCH Models
- Math-14239 Integral Local Grothendieck-Module Isomorphism
- Math-14240 Extension Vanishing in Abelian-Defect Blocks
- Math-14241 Schur-Algebra Models for Symmetric-Group Blocks
- Math-14242 Weak Condensation with Large Cardinals
- Math-14243 Strong Condensation with Large Cardinals
- Math-14244 First Failure of Coherent Realization in a Steel Array
- Math-14245 Weak Uniqueness of Elementary-Embedding Square Roots at $\lambda$
- Math-14246 Minimum $AD_{\mathbb R}$-Like Model at $\lambda$
- Math-14247 Unspecified Extremal Combinatorics Conjecture
- Math-14248 Unspecified Random Function Root Problem
- Math-14249 Real Zeros of General Random Functions
- Math-14250 Expected Real Roots of General Random Polynomials