Intro

I’m passionate about Computational and Applied Mathematics, especially in developing numerical methods and mathematical tools for applications in Condensed Matter Physics, Mechanics, and Medical Science. I work under the guidance of Prof. Luskin, and my main mathematical interests lie in numerical analysis, applied analysis, and mathematical physics, particularly in the context of quantum materials science and quantum technology.

I’m also excited to explore using the machine learning and quantum computer for scientific computing, with a focus on condensed matter problems. Outside of math and algorithms, I have a strong interest in the sciences, and I’m constantly seeking to deepen my understanding of quantum phenomena.

I am organizing a quantum error correction reading group from Spring 2024 to Winter 2025.

Recent focus:

  1. Moire materials: TMD modeling from Multi-scale analysis

  2. Quantum Algorithms: Block Encoding and Open Quantum System

I am less active on a few directions(including multi-grid, scientific machine learning and first principle methods) this year. These directions have NEVER been forgotten. Always happy to have more discussion over these topics.