AI Math Open Problems

Maintainers: CUHK-Shenzhen, Dmitry Rybin, Miha Bresar, Cosme Louart

This is database of interesting math problems that we use to track AI capabilities. We encourage everyone to submit new problems and try to solve existing problems with AI tools.

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There are currently 21 problems in the database.

No. Problem Status Author
1 Positive definite matrix integral inequality open Prof. Cosme Louart
2 Equality case for compressed convex functional calculus open Boris Bilich
3 Lower bound for high-order MVI tensor methods open Prof. Chengchang Liu
4 Lyapunov exponent phase boundary for RWRE matrix products open Prof. Miha Bresar
5 Infinitely many symmetric integer fusion systems open Prof. Sébastien Palcoux
6 Strongly acyclic line-bundle collections on toric DM stacks open Aimeric Malter
7 k-explicit inf-sup stability for the truncated Cartesian PML Maxwell system open Prof. Shihua Gong
8 Greedy graphical balls-in-bins on cycles open Prof. Yilun Chen
9 Polynomial growth of Laplacian zeta functions on vertical lines open Prof. Raphael Ponge
10 Existence of finite right-cancellative dogmas open Ma Li
11 Field-dependent path Euler characteristic of digraphs open Briony Eldridge
12 Monochromatic subspaces with prescribed intersection over finite fields open Zhang Shexi
13 First-passage time of Brownian motion to an exponentially decaying boundary open Aria Ahari
14 Deterministic polynomial-time PIT for straight-line program equivalence open Vincentius Janssen
15 Logarithmic L6 Strichartz estimate for the circle Schrodinger propagator open Anonymous
16 Existence of complete sets of mutually unbiased bases open Adam Sawicki
17 Identifiability and convexification of band-limited unassigned distance geometry open Dimitry Grebenyuk
18 Comparable infinite-order elements in Picard groups of total rings of fractions open Junyan Xu
19 Picard groups of semi-local or finite semirings open Junyan Xu
20 Transpose symmetry for injectivity over semirings open Junyan Xu
21 Signed BAR characterization for reflected Brownian motion open Prof. Jiaming Xu