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-6501 Modulo-Four Reduced Khovanov Rank of Ribbon Knots
- Math-6502 Cartan Subalgebras from Twisted Groupoid Subgroupoids
- Math-6503 Quantitative Rigidity for Aviles–Giga Differential Inclusions
- Math-6504 Limiting Vanishing Probability for Symmetric Group Characters
- Math-6505 Rigorous Boundary-Layer Density Asymptotics
- Math-6506 Infinite Tails of Multiple-Scattering Series
- Math-6507 Spectral Approximation of Discrete-Dipole Operators
- Math-6508 Entropy Rigidity for Hyperbolic Group Actions
- Math-6509 Conjugacy Classes Distinguishing Finite Groups from Subgroups
- Math-6510 Frobenius Certificates for Finite Galois-Group Isomorphisms
- Math-6511 Galois Images in Genus-Two Real-Multiplication Families
- Math-6512 CM Rational Points on Nonsplit Cartan Modular Curves
- Math-6513 Four-Point Configurations on Three Lines
- Math-6514 Weighted Riesz Transform Inequalities for General Laguerre Expansions
- Math-6515 Asymptotic Proportion of $Q$ in Classical Groups
- Math-6516 Finite-Order Laminates for Rank-One Convex Envelopes
- Math-6517 Realizability of Divisor Volumes
- Math-6518 Strong Prediction for Stationary Ergodic Gaussian Processes
- Math-6519 Multiple Cover Decomposition Thresholds for Planar Sets
- Math-6520 Colored Transversals for Translates of Convex Sets
- Math-6521 Shift Chain Colorings and Disk Covering Paths
- Math-6522 Linear Bounds for Monotone Crossing Numbers
- Math-6523 Semicircle Packings and Colorings of Simplicial 4-Polytopes
- Math-6524 Koszul Differentials in Bousfield–Kuhn Homology
- Math-6525 Polychromatic Subsets for Bounded Colorings of the First Uncountable Ordinal
- Math-6526 Ground Axiom Consequences for Cardinal Arithmetic
- Math-6527 Topological Isolation of Singularities in Witt Bordism
- Math-6528 Nontrivial Witt Pairings in $\mathbb Z_2$-Witt Spaces
- Math-6529 Positive-Ricci Cohomogeneity Manifolds with Exceptional Orbits
- Math-6530 Bolza Surface Maximization of the First Eigenvalue
- Math-6531 Explicit Invariant Densities for Even Continued Fractions
- Math-6532 Decay of Correlations in Random Quadratic Maps
- Math-6533 Local-Energy Classes of Summable Lattice-Gas Interactions
- Math-6534 Radial Julia Dimensions of Exponential Maps
- Math-6535 Complexity of Maximal Chains in Computable Well-Partial-Orders
- Math-6536 Finite-Lattice Obstructions in Enumerable Reducibility Degrees
- Math-6537 Variational Eddy Currents with Degenerate Conductivity
- Math-6538 Joint Event-Trigger and Control Optimization
- Math-6539 Stringy Euler Criteria for Smooth Spherical Varieties
- Math-6540 Self-Extensions of Simple Quantum-Affine Modules
- Math-6541 Poisson Empirical-Bayes Estimator Report
- Math-6542 Low-Degree Cohomology of Finite Groups of Lie Type
- Math-6543 Infinitely Many Prime Values of Integer Polynomials
- Math-6544 Elementary Fourth-Moment Bounds for Cubic Exponential Sums
- Math-6545 Matroid Invariance and Reflection Constructions for Geproci Sets
- Math-6546 Determinantal Quartics as Weddle Surfaces
- Math-6547 Exhaustiveness of Threshold Scenarios for Colored Gaussian Graphical Models
- Math-6548 Twenty-Vertex Models and Pachter-Triangle Tilings
- Math-6549 Wilf Class Asymptotics with Fixed Pattern Occurrences
- Math-6550 Closed Sets Supporting Permutons