Gabriel Currier

collaborators

2 papers

math.CO2026

Improved bounds for lines and $1$ -separated sets in Euclidean Ramsey theory

Gabriel Currier, Param Mody, Zehan Xie +1

Let $K$ be a $1$ -separated set of diameter at most $R - 1$ , and let $ℓ_{m}$ denote a collection of $m$ points on a line, with consecutive points of distance $1$ apart. Conlon and Fo…

math.CO2025

Avoiding short progressions in Euclidean Ramsey theory

Gabriel Currier, Kenneth Moore, Chi Hoi Yip

We provide a general framework to construct colorings avoiding short monochromatic arithmetic progressions in Euclidean Ramsey theory. Specifically, if $ℓ_{m}$ denotes $m$ colline…

Improved bounds for lines and 1-separated sets in Euclidean Ramsey theory

Avoiding short progressions in Euclidean Ramsey theory

Improved bounds for lines and $1$ -separated sets in Euclidean Ramsey theory