# Marston Morse Lectures

**Topic: **Arithmetic regularity, removal, and progressions

**Speaker: **Jacob Fox

**Affiliation: **Stanford University

**Date & Time: **Tuesday October 25th, 2016, 4:00pm - 5:00pm

**Location: **S-101

**Video:** https://video.ias.edu/MarstonMorse/2016/1025-JacobFox

A celebrated theorem of Roth from 1953 shows that every dense set of integers contains a three-term arithmetic progression. This has been the starting point for the development of an enormous amount of beautiful mathematics. In this talk, I will discuss some shocking developments over the last few months on the bounds on some of the well-studied variants of Roth's theorem.