Decoupling, Cantor sets, and additive combinatorics

Sep 15, 2022 3:30 PM — 3:30 PM
[CST] University of Minnesota PDE Seminar

Decoupling and discrete restriction inequalities have been very fruitful in recent years to solve problems in additive combinatorics and analytic number theory. In this talk I will present some work in decoupling for Cantor sets, including Cantor sets on a parabola, decoupling for product sets, and give applications of these results to additive combinatorics. Time permitting, I will present some open problems.

Mathematics PhD Candidate

Math grad student @UCLA. My research interests include harmonic analysis (restriction, decoupling), PDEs and deep learning theory.