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-11751 Problem 1.13 — (A.
- Math-11752 Problem 1.15 — (M.
- Math-11753 Problem 1.17 — (A.
- Math-11754 Problem 1.18 — (A.
- Math-11755 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-11756 Problem 1.20 — Justify the above arguments rigorously.
- Math-11757 Conjecture 2.1 — ([220, Problem 1.92 (N)]) Fd(ZK)/Fd+1(ZK) is torsion free for each d.
- Math-11758 Conjecture 2.2 — A(S1; Z) is torsion free.
- Math-11759 Conjecture 2.3 — (X.-S.
- Math-11760 Conjecture 2.5 — Vassiliev invariants distinguish oriented knots.
- Math-11761 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-11762 Conjecture 2.7 — (see [220, Problem 1.89 (B)]) For any oriented knot K, no Vassiliev invariants distinguish K from −K.
- Math-11763 Question 2.8 — (T.
- Math-11764 Problem 2.9 — (X.-S.
- Math-11765 Problem 2.10 — (N.
- Math-11766 Conjecture 2.11 — (S.
- Math-11767 Refuting random 3SAT-instances on $O(n)$ clauses (weak form)
- Math-11768 10 Lectures and 42 Open Problems — Certifying that matrices are PSD
- Math-11769 10 Lectures and 42 Open Problems — The Paley Clique Problem
- Math-11770 10 Lectures and 42 Open Problems — Maximum and minimum bisections on random regular graphs
- Math-11771 10 Lectures and 42 Open Problems — Sharp tightness of the Angular Synchronization SDP
- Math-11772 10 Lectures and 42 Open Problems — Consistency and sample complexity of Multireference Alignment
- Math-11773 Computational Diffie–Hellman problem
- Math-11774 8.4 (Schleimer) — Detecting reducible Heegaard splittings
- Math-11775 Linear collapse, binomial hypersurfaces, and the image of local-odds fibers
- Math-11776 Compatible and complete odds-ratio specifications
- Math-11777 Zero patterns, facial sets, and exact support repair in chordal models
- Math-11778 Unique minimal Markov bases, bipartite cycles, and padding monotonicity
- Math-11779 An algebraic one-mode certificate for MANOVA
- Math-11780 Exact slack lifts for Markov bases under rounded summaries
- Math-11781 Binary independence and hierarchical models in cumulant coordinates
- Math-11782 Holonomic Bayesian normalizers with certified posterior moments
- Math-11783 Transcendence-aware algebraic localization of symmetric Gaussian-mixture modes
- Math-11784 Exact CI rationalization through rational local charts
- Math-11785 Componentwise entropy rigidity and a reduced search for a non-multilinear matroid
- Math-11786 Gaussian observed-likelihood equations and a rank-certified monotone solution
- Math-11787 Finite Markov templates with several varying level sets
- Math-11788 Quartic Markov bases and saturated simplicial leaves
- Math-11789 A cyclic-slice chart for balanced minimal border rank
- Math-11790 Fourier edge invariants and a visibility threshold for finite rate-class mixtures
- Math-11791 Simultaneously certified invariant quartet scoring and robust assembly
- Math-11792 Root obstruction and outgroup-oriented algebraic clade certificates
- Math-11793 A gap-move bound and the exact decomposable-model spectrum
- Math-11794 One observable mode can lift to infinitely many hidden-parameter maxima
- Math-11795 ML degree, feasibility, and a Gaussian likelihood-root trichotomy
- Math-11796 Complex count solved, with an exact real-root cusp slice
- Math-11797 Exact Bayesian evidence and prediction for finite latent discrete models
- Math-11798 Markov-basis complexity depends on representation
- Math-11799 Equality constraints do not characterize hidden-variable models
- Math-11800 Parameter tying and exact homogeneous binary-star invariants