Diversity, equity, and inclusion for problems in additive number theory

TL;DR

This survey explores diverse problems in additive number theory, emphasizing less popular issues related to sumsets and their intersections, advocating for broader inclusion in the field.

Contribution

It highlights the importance of considering underrepresented problems in additive number theory and suggests expanding the canonical set of problems.

Findings

Focus on sumset sizes and their intersections in additive number theory

Encourages inclusion of less popular problems in the field

Provides an overview of problem diversity in the domain

Abstract

This is a survey of the diversity of problems in additive number theory. Equity requires the consideration of less currently popular problems, and suggests their inclusion in the additive canon. Of particular interest are problems about the sizes of sumsets of finite sets of integers and problems about the arithmetical structure of intersections of sumsets.