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-6701 Scalar-Stable Hypercyclic Operators on Nuclear Fréchet Spaces
- Math-6702 Simultaneous Orbit Vanishing and Scalar Hypercyclicity
- Math-6703 Chaos of Individual Operators in Chaotic Semigroups
- Math-6704 Projective Subspaces with Trivial Normal Bundle in Fano Manifolds
- Math-6705 Packing Numbers of Automorphism Graphs on Curves
- Math-6706 Force-Induced Phase Transitions in Self-Attracting Polymers
- Math-6707 Non-Kähler Shrinking Ricci Solitons
- Math-6708 Non-Naturally Reductive Einstein Metrics on Compact Lie Groups
- Math-6709 Hyperbolic Conformal Boundaries of Poincaré–Einstein Manifolds
- Math-6710 Unstable Invariance of Multiple-Correlation Limits
- Math-6711 Kaplan–Yorke Equality for Coupled Baker's Maps
- Math-6712 Occupation Times of Manifold Brownian Motion
- Math-6713 Marginal Limits for Markov-Source Selection Processes
- Math-6714 Limiting Boolean Functions of Random And–Or Trees
- Math-6715 Optimal Geodesic Curvature for Random Transpositions
- Math-6716 Existence and Uniqueness of Sobolev Traces on Continuous Domains
- Math-6717 First-Singularity Profiles in Nonlocal Transport Models
- Math-6718 Optimal Adaptive Approximation of Transport-Dominated Equations
- Math-6719 Minimal Ambient Dimension for Complete Bounded Complex Submanifolds
- Math-6720 Symbolic Containment for Roulleau–Urzúa Configurations
- Math-6721 Non-ACM Line Configurations with Minimal Symbolic Initial-Degree Gap
- Math-6722 Ordinary and Symbolic Powers of Point-Set Ideals
- Math-6723 Commutation of Variational Discretization and Optimal Control
- Math-6724 Inferred Stronger Four-Agent Formation Claim
- Math-6725 Saddle Structure of Incorrect Formation Equilibria
- Math-6726 Turnpike Properties as Criteria for Strict Dissipativity
- Math-6727 Optimality of Greedy Circle Packings
- Math-6728 Exceptional Collections and Twisted Cubics on Fano Varieties
- Math-6729 Rationality of Ueno-Type Varieties
- Math-6730 Birational Modifications Proving Rationality of a Ueno Variety
- Math-6731 Lie-Algebraic Parametrization of TMF Classes
- Math-6732 Direct McKay Reduction for Self-Normalizing Sylow Two-Subgroups
- Math-6733 Sharp Group-Order Bounds from Small Brauer Degrees
- Math-6734 Reduction of Torsion Endotrivial Modules to Trivial p-Prime Core
- Math-6735 Uniform Polynomial Bases for Stabilizer Modules
- Math-6736 Baire Category of Purely Singular Copulas
- Math-6737 Cubic Spline Interpolation on General Triangulations
- Math-6738 Complete-Intersection Kernels of Ideal Projectors
- Math-6739 Hermite-Projector Theorem Extraction
- Math-6740 Matrix Characterization of Complete Intersections
- Math-6741 Fiber Genus of Rational Maps from Newton Hypersurfaces
- Math-6742 Hochschild-Cohomology Lie Structure of a Stratified Algebra
- Math-6743 Generic Infinite Index Subgroups of Integral Special Linear Groups
- Math-6744 Nontrivial Actions on Invariant Prym Homology
- Math-6745 Generic Uniqueness for Skein-Algebra Representations
- Math-6746 Hochschild Cohomology of Symmetric-Group Algebras
- Math-6747 Inductive Alperin–McKay Condition for Isolated Blocks
- Math-6748 Frobenius–Schur Indicators in Real Nilpotent Blocks
- Math-6749 Projective Characters and Square Roots in Real Blocks
- Math-6750 Real Subspaces in Zeros of Elementary Symmetric Polynomials