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-14151 Categorification of the Quantum Volume Conjecture
- Math-14152 Symplectic Moduli Spaces of Sheaves
- Math-14153 Persistence Times of Dynamical-Percolation Crossings
- Math-14154 Integrated Super-Brownian Scaling of High-Dimensional Incipient Clusters
- Math-14155 Scaling Limits Across the Directed-Polymer Crossover
- Math-14156 Parameter Dependence of Directed-Polymer Endpoint Limits
- Math-14157 Classification Problems for Finite Weyl Groupoids
- Math-14158 Cartan Schemes and Positive-Characteristic Lie Algebras
- Math-14159 Effective Cones of Wonderful Arrangement Compactifications
- Math-14160 Combinatorial Freeness of Piecewise-Polynomial Fan Modules
- Math-14161 Lifting Pentagon-Arrangement Symmetries to Homotopy Invariants
- Math-14162 Detecting Genuine Modes in Density Deconvolution
- Math-14163 Noise Conditions for Quasioptimal Total-Variation Regularization
- Math-14164 Classification Complexity of Unitary Equivalence
- Math-14165 Z-Stability of Elliott Classification Counterexamples
- Math-14166 Central Sequence Invariants for $C^*$-Algebra Classification
- Math-14167 Surjectivity on Component Groups of Semistable Curves
- Math-14168 Open Problems on Smoothed Laplace Periodograms
- Math-14169 Existence of Optimal Two-Phase Eigenvalue Configurations
- Math-14170 Heterogeneous-Parameter Inversion in Atmospheric Chemistry
- Math-14171 Efficient Covariance Models for Atmospheric-Chemistry Data Assimilation
- Math-14172 Generalized Wills-Polynomial Results Report
- Math-14173 Geometric-Comparison Stability Framework
- Math-14174 Geometric-Comparison Separation Framework
- Math-14175 Switching Ratios in Discretized Hysteresis Dynamics
- Math-14176 Stable Label Patterns on Graphs
- Math-14177 Extendable Outer Automorphisms of Subgroup Inclusions
- Math-14178 Nearly-Lie Quotients of Automorphism Groups in NIP Theories
- Math-14179 Minimal Ordered Structures Beyond Almost Linearity
- Math-14180 Counterexamples to Averaged Local Fractional-Coloring Bounds
- Math-14181 Color Bounds for Weight-Modified Reed Fractional Coloring
- Math-14182 Structural Invariants for Very Large Graphs
- Math-14183 Fork Graphs and Directed Cycle Double Covers
- Math-14184 Optimal SVD-Based Space–Time Focusing Signals
- Math-14185 Sign-Definite Variational Formulations of Helmholtz Impedance Problems
- Math-14186 Kinematic Formulas for DC-Boundary Sets
- Math-14187 Motivic Stabilization of Symmetric Powers
- Math-14188 Classification Problems for Del Pezzo Fibrations
- Math-14189 Coincidence of Supports and Maxima in Infinity-Eigenvalue Limits
- Math-14190 Finite-Time Perfect Mixing Under Power Constraints
- Math-14191 Long-Time Navier–Stokes Flow in Exterior Domains
- Math-14192 Einstein-Type Dynamics for Concentrated Euler Flows
- Math-14193 Generator Bounds for Multivariate Tight Wavelet Frames
- Math-14194 Polyhedra with Vertex-Factored Fantappiè Denominators
- Math-14195 Coefficients in Signed Simplex Decompositions
- Math-14196 Historical Foundations of Mathematical Classification
- Math-14197 From Pure and Mixed to Pure and Applied Mathematics
- Math-14198 Mathematical Modelling as Scientific Knowledge Production
- Math-14199 Mathematics in Early-Modern Landscape Design
- Math-14200 Mixed Mathematics in Sixteenth-Century Practice