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math.CO2025
Sphere intersections and incidences over finite fields
Doowon Koh, Ben Lund, Chuandong Xu +1
We bound the number of incidences between points and spheres in finite vector spaces by bounding the sum of the number of points in the pairwise intersections of the spheres. We ob…
math.CO2025
Embedding edge-colored graphs in expanders with roll-back
Ben Lund, Chuandong Xu
We introduce a method to embed edge-colored graphs into families of expander graphs, which generalizes a framework developed by Draganić, Krivelevich, and Nenadov (2022). As an app…
math.CO2023
Large Convex sets in Difference sets
Krishnendu Bhowmick, Ben Lund, Oliver Roche-Newton
We give a construction of a convex set with cardinality such that contains a convex subset with cardinality . We also consider the following…