1 citations · 3 across the 4 of their papers we have counts for
5 papers
Sharp Szemerédi-Trotter constructions from arbitrary number fields
Gabriel Currier
In this note, we describe an infinite family of sharp Szemerédi-Trotter constructions. These constructions are cartesian products of arbitrarily high dimensional generalized arithm…
Additive structure in convex translates
Gabriel Currier, Jozsef Solymosi, Ethan Patrick White
Let be a set of points in the plane, and a strictly convex set of points. In this note, we show that if contains many translates of $\math…
New results on simplex-clusters in set systems
Gabriel Currier
A -simplex is defined to be a collection of subsets of size of such that the intersection of all of them is empty, but the intersection of any …
On the -cluster generalization of Erdős-Ko-Rado
Gabriel Currier
If and , a -cluster is defined to be a collection of elements of with empty intersection and union of size no more than $2k…
Visual properties of generalized Kloosterman sums
Paula Burkhardt, Alice Zhuo-Yu Chan, Gabriel Currier +3
For a positive integer and a subgroup of the unit group , the corresponding generalized Kloosterman sum is the function $K(a,b,m,Λ) = \sum_…