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-10251 Strict hot spots and absence of critical points for smooth planar Neumann ground modes
- Math-10252 Classification of every bounded stable Allen–Cahn solution in dimension seven
- Math-10253 The Boltzmann–Grad limit throughout a regular kinetic lifespan
- Math-10254 Strong diffeomorphic approximation of three-dimensional homeomorphisms above exponent two
- Math-10255 Strong diffeomorphic approximation of three-dimensional Sobolev homeomorphisms up to exponent two
- Math-10256 GOE bulk statistics for weakly disordered regular-graph operators
- Math-10257 The joint GFF and cluster limit of critical Ashkin–Teller currents
- Math-10258 The exact GFF variance of balanced six-vertex heights
- Math-10259 The sharp singularity exponent of biased symmetric sign matrices
- Math-10260 A directional zero–one law for finite-range-dependent random environments
- Math-10261 The exact hierarchical cavity pressure for dilute even-arity spin glasses
- Math-10262 The nested CLE limit of half-plane double-dimer loops
- Math-10263 Strict convexity and differentiability of the exponential planar passage shape
- Math-10264 Metric–measure universality of subcritical FK and tree-weighted maps
- Math-10265 Conformal geometry of spherical FK maps at weight four
- Math-10266 Conformal metric and loop convergence of FK maps below four
- Math-10267 Joint metric, spectrum and heat-trace limit for FK–Ising maps
- Math-10268 Liouville Brownian motion as the walk limit on FK–Ising maps
- Math-10269 Natural occupation measures of critical FK interfaces
- Math-10270 Joint SLE and CLE limits at FK weights from one through four
- Math-10271 The continuum tree limit of FK maps above weight four
- Math-10272 Critical square-lattice FK interfaces below random-cluster weight one
- Math-10273 A nonlinear-capacity criterion for four-state reconstruction on arbitrary trees
- Math-10274 The exact reconstruction threshold of the ferromagnetic four-state channel
- Math-10275 The exact IID-factor threshold for free Ising laws on regular trees
- Math-10276 One root-independent IID factor for all free uniform spanning forests
- Math-10277 The all-temperature spherical Gaussian perceptron pressure
- Math-10278 BKT scaling and the endpoint stiffness for finite-range integer heights
- Math-10279 The mass and mean length of critical bridges in a fixed-width corridor
- Math-10280 The fugacity-dependent cylinder exponent for critical honeycomb loops
- Math-10281 Diameter, local mass and covering exponents of fixed-length honeycomb walks
- Math-10282 Critical honeycomb polygon diameter and length exponents
- Math-10283 The length exponent of critical honeycomb chords with fixed endpoints
- Math-10284 Partition and mean-length exponents for macroscopic triangular honeycomb chords
- Math-10285 The all-temperature pressure of orthogonally invariant Ising disorder
- Math-10286 Spherical perceptron pressure with orthogonally invariant disorder
- Math-10287 The thermodynamic pressure of every bounded Gaussian Ising perceptron activation
- Math-10288 Universal gap and force exponents at negative spherical-perceptron jamming
- Math-10289 Finite critical two-point operator norm and nonuniqueness for nonamenable graphs
- Math-10290 A non-Gaussian massive continuum theory from the planar O(3) model
- Math-10291 An isolated lightest particle in the continuum O(3) spin field
- Math-10292 The exact low-temperature transfer gap of the planar O(4) model
- Math-10293 A GFF limit for triangular odd heights with two boundary arcs
- Math-10294 Critical nonpercolation on locally finite quasi-transitive graphs below one
- Math-10295 A first-order temperature singularity for a stable radial continuum gas
- Math-10296 A limiting density threshold for every fixed random clause size
- Math-10297 Linear hitting-time variance for random clause size at least four
- Math-10298 Linear variance of the random 3-SAT unsatisfiability time
- Math-10299 Interface and field scaling limits of triangular real Lipschitz surfaces
- Math-10300 Critical SK mixing, relaxation and log-Sobolev exponents