Microsoft Reseach Internship

University of Rochester

Stanford University

Nodal domains and landscape functions

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, including Cantor sets on a parabola, decoupling for product sets, and give applications of these results to additive combinatorics.

University of Minneapolis

Harmonic analysis on manifolds summer school


Fourier Analysis @200