Given a fractal set E on the plane and a set F of directions, can we find one direction L in F such that the orthogonal projection of E along L is large? We will survey some classical and modern projection theorems and discuss their applications. This talk is based on joint work with Pablo Shmerkin.
Hong Wang, Assistant professor, UCLA.
Awards and Grants:
Maryam Mirzakhani New Frontiers Prize, 2022.
NSF Grant DMS-2055544, 2021-2024.
AMS-Simons travel funding, 2020-2022.
Presidential fellows, MIT, 2014-2015.