E. Kelman

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20242026

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math.CO2026

Forbidden Intersection Theorems for Matrix Spaces

Esty Kelman, Nathan Lindzey, Ohad Sheinfeld

A family of $m \times n$ matrices $F \subseteq F_{q}^{m \times n}$ is { $(t - 1)$ -intersection-free} if $dim ker (A - B) \neq = t - 1$ for all $A, B \in F$ . A \em…

math.CO2025

Sparse graph counting and Kelley-Meka bounds for binary systems

Yuval Filmus, Hamed Hatami, Kaave Hosseini +1

In a recent breakthrough, Kelley and Meka (FOCS 2023) obtained a strong upper bound on the density of sets of integers without nontrivial three-term arithmetic progressions. In thi…