Research
My research interests are currently in the fields of approximation theory, the mathematical theory of neural networks, statistics, and numerical methods for solving PDEs. A particular emphasis is on the theoretical development and mathematical analysis of machine learning methods for scientific computing. In terms of applications, I also work on the application of machine learning methods to materials science.
I worked as a postdoc with Professor Jinchao Xu from 2018-2022 and completed my PhD in mathematics from UCLA under the direction of Professor Russel Caflisch in 2018.
Here are my CV and list of publications.
Students Advised
Jianhong Chen (Penn State) 2019-2020 (co-advised with Jinchao Xu)
Xianlin Jin (Peking University) 2021-2024 (co-advised with Jinchao Xu)
Kanan Gupta (Texas A&M University/University of Pittsburgh) 2022-2024 (co-advised with Stephan Wojtowytsch at Texas A&M)
Jiyoung Park (Texas A&M University) 2023-2026
Ali Hamza Abidi Syed (Texas A&M University) 2025-present
Aditya Nambiar (Texas A&M University) 2025-present
Emily Diegel (Texas A&M University) 2025-present
Spalding Garakani (Texas A&M University) 2025-present