I am interested in average case complexity theory for numerical, algebraic, and geometric computation. I am fascinated by the interplay between geometric structures, high dimensional probability, and randomized computing. My teaching interests are in courses that empower students with modern mathematical-computational skills such as probability and computing, optimization, high dimensional probability with applications, or geometric inference.
Computational (Real) Algebraic Geometry, Convex and Discrete Geometry, Randomized Numerical Analysis, Convex Optimization