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-4401 Foliated Teichmüller theory — Question 11.4
- Math-4402 Coarse foliations — Question 12.2
- Math-4403 Coarse foliations — Question 12.3
- Math-4404 Numerical invariants — Question 13.1
- Math-4405 Numerical invariants — Question 13.2
- Math-4406 Numerical invariants — Question 13.3
- Math-4407 Numerical invariants — Question 13.4
- Math-4408 Numerical invariants — Question 13.5
- Math-4409 Numerical invariants — Question 13.6
- Math-4410 Numerical invariants — Question 13.7
- Math-4411 Immersed objects — Question 14.2
- Math-4412 Immersed objects — Question 14.3
- Math-4413 Immersed objects — Question 14.5
- Math-4414 Miscellaneous — Question 15.1
- Math-4415 Miscellaneous — Question 15.2
- Math-4416 Problem 1.1 — ([188, Problem 1]) Find a non-trivial knot K with VK (t) = 1.
- Math-4417 Problem 1.2 — ([188, Problem 2]) Characterize those elements of Z[t, t−1] of the form VK(t).
- Math-4418 Problem 1.4 — (J.
- Math-4419 Problem 1.5 — (J.
- Math-4420 Problem 1.6 — (J.
- Math-4421 Problem 1.7 — (J.
- Math-4422 Problem 1.8 — (J.
- Math-4423 Problem 1.9 — (X.-S.
- Math-4424 Problem 1.12 — Categorify other knot polynomials.
- Math-4425 Problem 1.13 — (A.
- Math-4426 Problem 1.15 — (M.
- Math-4427 Problem 1.17 — (A.
- Math-4428 Problem 1.18 — (A.
- Math-4429 Conjecture 1.19 — (The volume conjecture, [198, 296]) For any knot K, 2π·lim N →∞ log|JN (K)| N = v3||S3− K||, (2) where||·||denotes th…
- Math-4430 Problem 1.20 — Justify the above arguments rigorously.
- Math-4431 Conjecture 2.1 — ([220, Problem 1.92 (N)]) Fd(ZK)/Fd+1(ZK) is torsion free for each d.
- Math-4432 Conjecture 2.2 — A(S1; Z) is torsion free.
- Math-4433 Conjecture 2.3 — (X.-S.
- Math-4434 Conjecture 2.5 — Vassiliev invariants distinguish oriented knots.
- Math-4435 Problem 2.6 — Does there exists a non-trivial oriented knot which can not b e distinguished from the trivial knot by Vassiliev inva…
- Math-4436 Conjecture 2.7 — (see [220, Problem 1.89 (B)]) For any oriented knot K, no Vassiliev invariants distinguish K from −K.
- Math-4437 Question 2.8 — (T.
- Math-4438 Problem 2.9 — (X.-S.
- Math-4439 Problem 2.10 — (N.
- Math-4440 Conjecture 2.11 — (S.
- Math-4441 Refuting random 3SAT-instances on $O(n)$ clauses (weak form)
- Math-4442 10 Lectures and 42 Open Problems — Certifying that matrices are PSD
- Math-4443 10 Lectures and 42 Open Problems — The Paley Clique Problem
- Math-4444 10 Lectures and 42 Open Problems — Maximum and minimum bisections on random regular graphs
- Math-4445 10 Lectures and 42 Open Problems — Sharp tightness of the Angular Synchronization SDP
- Math-4446 10 Lectures and 42 Open Problems — Consistency and sample complexity of Multireference Alignment
- Math-4447 Computational Diffie–Hellman problem
- Math-4448 8.4 (Schleimer) — Detecting reducible Heegaard splittings
- Math-4449 Linear collapse, binomial hypersurfaces, and the image of local-odds fibers
- Math-4450 Compatible and complete odds-ratio specifications