Mathematics
Open problems, research attempts and community review.
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-2251 Mutually Unbiased Bases in Dimension Six
- Math-2252 Finiteness of a Shafarevich–Tate group needed by the lifting method
- Math-2253 The density hypothesis for zeroes of the Riemann zeta function
- Math-2254 Generalized Riemann hypothesis for Selberg class
- Math-2255 Zilber–Pink conjecture
- Math-2256 No critical infinite cluster on transitive graphs
- Math-2257 Absence of bigeodesics in first-passage percolation
- Math-2258 5.16 (Walsh) — Hyperbolic groups with Kleinian-type boundaries
- Math-2259 Problem 2 — (Billiards in general polygons).
- Math-2260 Major problems 5 — The chromatic splitting conjecture, which is considerably more complicated to state.
- Math-2261 Morava K- and E-theory 1 — Show that pi_* L_K(n) S^0 is finitely generated over the p-adics in each degree.
- Math-2262 Morava K- and E-theory 5 — Find the shadow of the thick subcategory theorem in the K(n)-local category.
- Math-2263 Rationally connected irrational varieties with property (*)
- Math-2264 A transcendental-rank obstruction to surface hosts
- Math-2265 A cyclotomic resolution-Betti obstruction for the global canonical index
- Math-2266 A new-Lefschetz defect reduction for rational Hodge pairings
- Math-2267 A classwise CM implication and a one-product coniveau certificate
- Math-2268 Hot spots: high-dimensional refutation, product rules, and heat-flow quantifiers
- Math-2269 Lipschitz extension from Hilbert spaces into L1
- Math-2270 Finite-dimensional embeddings of doubling Hilbert subsets
- Math-2271 Higher-dimensional quantitative bi-Lipschitz parameterization and a scalar-curvature obstruction
- Math-2272 Correlation cancellation for multiplicative functions
- Math-2273 GPY lower bounds and distances between Gaussian primes
- Math-2274 Steinitz prefix bounds for arbitrary norms
- Math-2275 Cycle--clique Ramsey numbers and an endpoint-fan certificate
- Math-2276 A four-point Hamming barrier in Euclidean Ramsey theory
- Math-2277 Four concyclic points and bounded Euclidean Ramsey witnesses
- Math-2278 van der Waerden numbers and sparse forcing sets
- Math-2279 Polynomial growth of diagonal van der Waerden numbers
- Math-2280 Finite-field factorization and sparse-polynomial root testing
- Math-2281 Prime-factor advice in power-residue quotients
- Math-2282 Three zeta-like products, degree-count inversion, and the factorization boundary
- Math-2283 Logarithmic Brunn–Minkowski inequality and equality cases
- Math-2284 Log-Minkowski inequality for symmetric convex bodies
- Math-2285 $L_p$ Brunn–Minkowski inequality for symmetric convex bodies
- Math-2286 An ultrafilter-free local criterion for O2-ultrapower embeddability
- Math-2287 Positive consistency of Naimark's problem and a local hereditary reduction
- Math-2288 Word problem for arbitrary Artin groups
- Math-2289 Algorithms for the word problem in Artin groups
- Math-2290 Second homotopy of Artin classifying complexes
- Math-2291 Parabolic subgroup intersections in Artin groups, including Euclidean type
- Math-2292 Parabolic intersections under nonpositive curvature assumptions
- Math-2293 Finitely presented infinite simple amenable groups
- Math-2294 The virtually-nilpotent/free-semigroup alternative
- Math-2295 Existence of infinite finitely presented torsion groups
- Math-2296 Universal optimality beyond rapidly decaying completely monotone potentials
- Math-2297 ALE singularities: Type-II existence and a bounded-scalar scale-energy certificate
- Math-2298 Finite traceless-Ricci budget and Ricci-flat bubbles under bounded scalar curvature
- Math-2299 Endpoint Ricci-energy balance and Weyl-dominated blow-ups under bounded scalar curvature
- Math-2300 A hyperbolic geodesic and the robust infinite branch