Hello! I'm Hong Wang, a fifth year graduate student working with Prof. Larry Guth.
I'm interested on Fourier restriction type problems. For example, if we know that the fourier transform of a function is supported on some curved objects, a sphere or some "curved" collection of discrete points, what can we say about this function? Furthermore, what can we say about this function on a fractal set?
I'm also interested on Strichartz estimates on manifolds.