A Walk Through Some Newer Parts of Additive Combinatorics

Abstract

In this survey paper we discuss some recent results and related open questions in additive combinatorics, in particular, questions about sumsets in finite abelian groups.

This paper is based on the second of two plenary talks given by the author at the 53rd Southeastern International Conference on Combinatorics, Graph Theory \& Computing, held at Florida Atlantic University, March 7--11, 2022