Gabriel Currier

activity

20232025

collaborators

3 papers

math.CO2025

Many unit distances requires many directions

Gabriel Currier, József Solymosi

In this note, we show that in planar pointsets determining many unit distances, these unit distances must span many directions. Specifically, we show that a set of $n$ points can d…

math.CO2024

$3$ -cluster-free families of subspaces

Gabriel Currier, Shahriar Shahriari

Three $k$ -dimensional subspaces $A$ , $B$ , and $C$ of an $n$ -dimensional vector space $V$ over a finite field are called a $3$ -cluster if $A \cap B \cap C = {0_{V}}$ and ye…

math.CO2023

Additive structure in convex translates

Gabriel Currier, Jozsef Solymosi, Ethan Patrick White

Let $P$ be a set of points in the plane, and $S$ a strictly convex set of points. In this note, we show that if $P$ contains many translates of $\math…

Many unit distances requires many directions

3-cluster-free families of subspaces

Additive structure in convex translates

$3$ -cluster-free families of subspaces