Jaume de Dios Pont

Decoupling, Cantor sets, and additive combinatorics

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, decoupling for product sets, and give applications of these results to additive combinatorics. Time permitting, I will present some open problems.

Contains joint work with Alan Chang (Princeton), Rachel Greenfeld (UCLA), Asgar Jamneshan (Koç University), Zane Li (IU Bloomington), José Ramón Madrid Padilla (UCLA)