He is currently a Professor in the Department of Mathematics and the Halıcıoğlu Data Science Institute at UC San Diego.
Education
Received his PhD in Applied Mathematics and Scientific Computation from the University of Maryland in 2014 (advisers: John Benedetto, Wojciech Czaja). He was then an NSF Postdoc and Gibbs Assistant Professor of Mathematics at Yale University (adviser: Raphy Coifman).
Background
Research areas include applied harmonic analysis, geometric data analysis, mathematics of data, manifold learning, and graph signal processing. His research focuses on problems in which the data is locally lower dimensional, such as data concentrated near manifolds or subspaces. These types of problems arise in a number of scientific disciplines, including imaging, medicine, and artificial intelligence. The techniques developed relate to a number of machine learning and statistical algorithms, including deep learning, network analysis, and measuring distances between probability distributions.