Peter Keevash

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20242026

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math.CO2024

A short proof of the existence of designs

Peter Keevash

We give a new proof of the existence of designs, which is much shorter and gives better bounds.

math.CO2024

The structure of sets with cube-avoiding sumsets

Thomas Karam, Peter Keevash

We prove that if $d \geq 2$ is an integer, $G$ is a finite abelian group, $Z_{0}$ is a subset of $G$ not contained in any strict coset in $G$ , and $E_{1}, \dots, E_{d}$ are dense subsets of…