I am interested in Computational and Applied Mathematics and would like to study mathematical theory and develop numerical method based on applications involved in Condensed Matter Physics, Quantum Computing + Information, Mechanics, and Medical Science. Currently as a fifth year Math PhD Candidate, I am advised by Prof Luskin at University of Minnesota, Twin Cites. I am in general interested in numerical analysis, applied analysis, probability theory related to quantum material science and technology as well as some interest in modern geometry and number theory.
I am recenlty working on(preprint has been or will be out soon):
Block Encoding for many body system
Learning theory for Local density of state in moire scale
Quantum Dynamics for Twisted Bilayer graphene and Aperiodic system in general
Moreover, I start to works on HPC and DFT recently:
- DFT for Twisted Bilayer Graphene