Mathematics catalogue
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-6451 Kourovka Notebook Problem 8.85
- Math-6452 Kourovka Notebook Problem 8.86
- Math-6453 Kourovka Notebook Problem 9.1
- Math-6454 Kourovka Notebook Problem 9.11
- Math-6455 Kourovka Notebook Problem 9.14
- Math-6456 Kourovka Notebook Problem 9.15
- Math-6457 Kourovka Notebook Problem 9.35
- Math-6458 Kourovka Notebook Problem 9.38
- Math-6459 Kourovka Notebook Problem 9.45
- Math-6460 Kourovka Notebook Problem 9.55
- Math-6461 Kourovka Notebook Problem 9.72
- Math-6462 Mahler's 3/2 Problem
- Math-6463 Erdős-Turán Conjecture on Additive Bases
- Math-6464 Nondivisorial Valuations in Explicit Fano Degenerations
- Math-6465 Mutations of Higher Grassmannian Degenerations
- Math-6466 Kissing Number of Regular Tetrahedra
- Math-6467 Largest Product-Free Subsets of Alternating Groups
- Math-6468 Structure of Extremal Product-Free Subsets
- Math-6469 Sharp Triangle Threshold in Pseudorandom Graphs
- Math-6470 Induced Four-Cycle Profiles Above Half Density
- Math-6471 Petersen-Graph Counts in Sparse Pseudorandom Graphs
- Math-6472 Long Twin Subsequences in Ternary Words
- Math-6473 Codimension-One Stability of Lorentzian Catenoids
- Math-6474 CMC Min–Max Width Under Nonnegative Scalar Curvature
- Math-6475 Asymptotic Stability of the $\phi^4$ Kink
- Math-6476 Critical-Exponent Polyharmonic Dirichlet Problems
- Math-6477 Interior-Layer Peaks in Singularly Perturbed Elliptic Problems
- Math-6478 Interface-Layer Solutions on Perforated Domains
- Math-6479 Dimensions of Energy-Concentration Sets
- Math-6480 Discrete Interaction-Matrix Inequalities in Three Dimensions
- Math-6481 Simultaneous Control of Nodal Blow-Up Values and Positions
- Math-6482 Category Bounds for Positive Nonlinear Schrödinger Solutions
- Math-6483 Global Stability Thresholds in Two-Species Migration Models
- Math-6484 Concordance Classes of Finite-Energy Foliations
- Math-6485 Uniqueness Subsets in Bergman and Korenblum Spaces
- Math-6486 Frequently Hypercyclic Weighted Backward Shifts
- Math-6487 Intermediate Bergman Backward-Shift Invariant Subspaces
- Math-6488 Uniform Difference-Quotient Estimates on Adaptive Meshes
- Math-6489 Low-Regularity Right-Hand-Side Approximation in Adaptive Methods
- Math-6490 Compactifications of Nonabelian Algebraic Groups
- Math-6491 Poisson Gap Counts in Gapped Local Alignments
- Math-6492 Exceptional Regenerative Composition Structures
- Math-6493 Site-Frequency Spectra under Multiple Ancestral Mergers
- Math-6494 Positive Markov Kernels with Dirichlet Stationary Measures
- Math-6495 Hopf $C^*$-Algebras from Multiplicative Unitaries
- Math-6496 Nonvanishing Euler Classes in Topological Bordism
- Math-6497 Nonstabilized Weakly Reducible Heegaard Splittings
- Math-6498 Sparsity Transfer in Penalized Empirical Risk Minimization
- Math-6499 Selection in Finite-Volume LSW Coarsening Models
- Math-6500 Uniform Intermediate-Norm Square-Function Estimates