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-12051 Long-time behavior with non-generic initial data
- Math-12052 The parking problem
- Math-12053 A Tracy-Widom Central Limit Theorem
- Math-12054 Perturbation theory for infinite dimensional integrable systems
- Math-12055 Perturbation theory for exactly solvable combinatorial problems
- Math-12056 Initial/boundary value problems for integrable systems
- Math-12057 Multi-matrix models and models with an external field
- Math-12058 KdV with almost periodic initial data
- Math-12059 interacting particle systems and KPZ
- Math-12060 numerical computation with random data
- Math-12061 initial boundary value problems for integrable systems (IBVP)
- Math-12062 numerical solution of integrable systems
- Math-12063 additional problems for integrable systems
- Math-12064 Rigorous Diffraction from Two Slits
- Math-12065 When semiclassical spectra follow curves—and when they fill area
- Math-12066 Complex Bohr-Sommerfeld action and a stability obstruction
- Math-12067 Exact zero-Kerr spectrum and high-energy Kerr localization
- Math-12068 Canonical versus abstract hyper-Kähler structures on cotangent bundles
- Math-12069 Exact complex-linear spin propagation and a nonlinear coherence-loss benchmark
- Math-12070 The sharp Laptev-Safronov threshold and a Lorentz-stable tube obstruction
- Math-12071 Axis and low-dimensional cases of Levitin's disk-intersection conjecture
- Math-12072 A non-polynomial complex potential with entirely real spectrum
- Math-12073 A one-coupling J-Schur certificate for projected spectral enclosures
- Math-12074 When holomorphic anomaly equations survive fiber integration
- Math-12075 Differential fingerprints of eta-products
- Math-12076 Holomorphic anomaly, fibrations, and the BPS multiple-cover transform
- Math-12077 Compact-fixed-locus definitions and pole obstructions for noncompact elliptic genera
- Math-12078 A normal-symbol criterion for lower-dimensional modular reduction
- Math-12079 Coefficientwise indices and a level-two Calabi--Yau/CFT test
- Math-12080 Paramodular consistency tests for Calabi-Yau counting series
- Math-12081 Normalization-aware leading quintic amplitudes at the Gepner point
- Math-12082 Hurwitz class numbers, CM enumeration, and local conductor layers
- Math-12083 Formal, Jacobi, and wave-function transformations of the string coupling
- Math-12084 Mirror-quintic periods, modular-type structures, and a conifold obstruction
- Math-12085 Functional equations and an Euler-product obstruction for mixed mock L-series
- Math-12086 Hauptmodul differential equations for an even-weight mixed-mock class
- Math-12087 Mock modularity, geometric invariants, and finite pole tomography
- Math-12088 A two-vertex counterexample to color-number monotonicity
- Math-12089 Equatorial symmetry and a Jacobian-jet test for local Kerr caustic cusps
- Math-12090 An invariant certificate for caustic-forming Kerr rays
- Math-12091 Melrose's answer, compact Sobolev embedding, and escape of mass
- Math-12092 Why gravitational instantons arise from monopoles
- Math-12093 A synchronized heat-kernel construction on eight-dimensional hyperkähler products
- Math-12094 Audible primitive two-torus areas on a flat three-torus
- Math-12095 Centered asymptotics for a Gibbons--Hawking subfamily
- Math-12096 A quantified Gibbons-Hawking N-body cluster model
- Math-12097 The L2-signature of toric hyperkahler quotients
- Math-12098 A smoothness criterion for projective conic compactifications of ALF twistor models
- Math-12099 Topology and character sectors in monopole L2-cohomology
- Math-12100 The signed Hill threshold for binary exchange