Additive Combinatorics: A Menu of Research Problems

TL;DR

This paper compiles over three hundred open research problems in additive combinatorics, providing context and relevant results to guide future investigations for students and researchers alike.

Contribution

It offers a comprehensive, up-to-date collection of open problems in additive combinatorics, serving as a valuable resource for research and learning.

Findings

Extensive list of open problems in additive combinatorics

Contextual review of relevant results for each problem

Aimed at fostering research and education in the field

Abstract

This text contains over three hundred specific open questions on various topics in additive combinatorics, each placed in context by reviewing all relevant results. While the primary purpose is to provide an ample supply of problems for student research, it is hopefully also useful for a wider audience. It is the author's intention to keep the material current, thus all feedback and updates are greatly appreciated.