I am broadly interested in analysis, especially in topics involving harmonic analysis, PDEs, and geometric measure theory. In PDEs, I have primarily focused on elliptic PDEs, working on questions related to quantitative unique continuation as well as the size of level sets of solutions and their gradients. In harmonic analysis, I have worked on boundedness properties of multilinear geometric averaging operators as well as point configuration questions in thin (fractional-dimensional) subsets of Euclidean space.