A Walk Through Some Newer Parts of Additive Combinatorics

TL;DR

This survey explores recent advances and open questions in additive combinatorics, focusing on sumsets in finite abelian groups, highlighting new results and directions for future research.

Contribution

It provides a comprehensive overview of recent developments and open problems in the study of sumsets within finite abelian groups.

Findings

Summarizes key recent results in additive combinatorics.

Identifies important open questions in the field.

Highlights new techniques and approaches in sumset analysis.

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.