I am currently a postdoctoral researcher at Lawrence Berkeley National Laboratory, hosted by Bert de Jong. I also work with Chao Yang and Lin Lin at the Lab.
My research interests lie primarily in Computational Mathematics and theoretical applied mathematics, including the intersection of Fault-tolerant quantum simulation with the following subjects
Numerical analysis and applied analysis
Quantum many-body system: quantum materials and quantum devices
Mathematical physics
Before joining Berkeley Lab, I earned my Ph.D. in Applied Mathematics from the University of Minnesota, advised by Mitch Luskin, and worked closely with Alex Watson and Stephen Carr. I completed my B.S. in Mathematics and Applied Mathematics at Shanghai Jiao Tong University, where I was advised by Lei Zhang and also carried out my undergraduate thesis under the supervision of Houman Owhadi.
My current research focuses on improving numerical methods and mathematical tools motivated by applications in condensed matter physics, mechanics, and technologies. More specifically, I have worked on problems in numerical analysis, applied analysis, and mathematical physics with a focus on quantum materials and quantum tech.
Recent focus:
Applied Analysis:
(1) Analysis in Open Quantum System
(2) Multi-scale analysis
(3) Magnus Expansion
Quantum Algorithms and Implementation:
(1) Block Encoding and State Preparation
(2) Fault-tolerant analysis
Focus of 2027:
Phase transition and Math modeling
More on quantum simulation and Fault-tolerance
amaMy research is mainly about quantum existence and q