# About me

I am an applied mathematician committed to performing

**numerical analysis**and developing**scientific computing**tools for problems arising in science and engineering. Specifically, I am an expert in interpreting fundamental theories, designing advanced and robust computational methods, as well as developing practical and sophisticated software to solve the**quantum many-body problem**and to predict the behaviors of matter of scientific and technological interest. For more details, please see the Research page.I am a PhD student in Computational Mathematics at Stanford University, working with Prof. Lexing Ying. I received my PhD degree in Theoretical Chemistry at the University of Chicago, where I worked with Prof. Yuehaw Khoo. I received my dual Bachelor’s degree in Physics and Chemistry with highest honors from the University of Chinese Academy of Sciences, where I worked with Prof. Tao Xiang and Prof. Qiang Shi.

# Recent news

- The paper Solving high-dimensional Hamilton-Jacobi-Bellman equation with functional hierarchical tensor appears in Arxiv (08/10/24)!
- I started PhD program in Computational Mathematics at Stanford University (09/26/23)!
- I successfully defended my PhD in theoretical chemistry at the University of Chicago entitled “Multiscale Methods for Quantum Many-Body Systems” (08/15/23)!
- The paper Low-Rank Green’s Function Representations Applied to Dynamical Mean-Field Theory appears in PRB (06/13/23)!
- I gave a talk at the Student Computational Math Seminar, the Ohio State University on the topic of Introduction to Computational Quantum Physics (04/21/23)!
- I will be joining Stanford University as a graduate student in Computational and Mathematical Engineering this fall (04/11/23)!
- I will be attending the Modern Applied and Computational Analysis workshop at Brown University during Jun 26 - 30, 2023 (04/21/23)! Look forward to meeting you there.
- The paper Quantum Simulations of Fermionic Hamiltonians with Efficient Encoding and Ansatz Schemes has been published by Journal of Chemical Theory and Computation (2/15/23)! In this work we propose a computational protocol for quantum simulations of Fermionic Hamiltonians on a quantum computer.
- The paper Low-Rank Green’s Function Representations Applied to Dynamical Mean-Field Theory has been posted to the Arxiv (01/18/23)! In this work we show that via a low-rank decomposition, only 20-30 Matsubara frequency nodes are necessary for the Dyson equation solver of the dynamical mean-field theory, compared to 2000 which is typically used. Thanks to all of my collaborators at the Flatiron Institute, Simons Foundation!
- The paper Quantum Simulations of Fermionic Hamiltonians with Efficient Encoding and Ansatz Schemes has been posted to the Arxiv (12/04/22)! Focusing on quantum simulations of Fermionic Hamiltonians on a quantum computer, we show a substantial improvement in the scaling of circuit gate counts and a decrease in the number of required variational parameters.
- The paper Quantum Embedding Theories to Simulate Condensed Systems on Quantum Computers has been published by Nature Computational Science (7/25/22)! It is aimed at discussing different embedding theories and the perspective for their simulations on quantum computers.
- I gave an exciting talk in the APS March meeting 2022 on solving the double counting issue in quantum defect embedding theory (3/15/22)! See the slides here. I also contribute to Dr. Christian Vorwerk’s talk on the application of the embedding theory to oxides. See the slides here.
- The paper Green’s Function Formulation of Quantum Defect Embedding Theory has been published by Journal of Chemical Theory and Computation (6/1/2022)! It is aimed at solving the double counting issue in quantum defect embedding theory.
- I gave an exciting talk as the end of my experience (8/13/21)! See the slides here. I will work remotely with colleagues to finish the project.
- I just start an internship at the Flatiron Institute, working with Dr. Olivier Parcollet, Dr. Jason Kaye and Dr. Kun Chen (6/3/21).