Transference in the quantitative polynomial Szemerédi theorem

2:00pm, Wednesday 22 July 2026

Abstract

We will discuss a framework which uniformly recovers and extends all known cases of quantitative bounds in the finite field polynomial Szemerédi theorem. We will also discuss its usage in the integer setting, showing in particular quantitative bounds for Szemerédi's theorem with (fixed) polynomial common difference. No prior knowledge of the area will be assumed. Based on joint work with Mehtaab Sawhney.