Welcome!
I am a mathematics major in the Honor Science Program at Xi’an Jiaotong University, currently ranking first in my cohort with a 4.19/4.3 GPA. In Spring 2025, I joined the Berkeley Global Access Program at UC Berkeley to dive deeper into graduate-level optimization and stochastic processes.
My research sits at the intersection of optimization theory and stochastic control. I enjoy formulating elegant algorithms, experimenting with scientific computing tools, and sharing knowledge through teaching and mentorship.
Current Interests
- Physics-informed neural networks and scientific machine learning
- Stochastic and derivative-free optimization
- Numerical methods for differential equations
- Formalizing mathematics in proof assistants
Education
Xi’an Jiaotong University
Honor Science Program in Mathematics • Sept. 2022 – Present
GPA: 4.19/4.3 (Rank 1/32). Completed advanced coursework in real and complex analysis, probability theory, topology, abstract algebra, numerical analysis, and differential equations.
University of California, Berkeley
Berkeley Global Access • Jan. 2025 – May. 2025
Graduate coursework in Mathematical Programming, Applied Stochastic Process, Stochastic Optimization, and Numerical Solution of Differential Equations. GPA: 4.0/4.0.
Xi’an Jiaotong University
Honor Youth Program (Special Class for the Gifted Young) • Sept. 2021 – July. 2022
Ranked 1/40 in a rigorous accelerated curriculum designed for exceptional young scholars.
Research Experience
Research Assistant • Cardinal Operations
Shanghai, China • Apr. 2025 – Present
- Investigating strategies to improve physics-informed neural network training with DRSOM and MUON optimizers.
- Exploring Polyak step sizes for training scientific machine learning models.
- Proposed a distributionally robust steepest descent method for resilient optimization.
- Built an extensible benchmarking repository for comparing optimizers on nanoGPT and CNN workloads.
Research Assistant • University of California Berkeley
Berkeley, California, USA • Mar. 2025 – May. 2025
- Finished a final project in the graduate course "Mathematical Programming II" about the performance of Frank-Wolfe for nonconvex functions under inexact gradient and computational comparison between linear minimization oracle and proximal operators.
- Improved the result of a paper which was later presented at the ICCOPT 2025 Conference in the final project.
- Established the convergence guarantee of Frank-Wolfe under non-convex setting with inexact gradient.
Participant • Mathematics in Lean Workshop
Department of Mathematics, Peking University • Jan. 2025
- Learned to formalize optimization proofs using the Lean theorem prover, strengthening my ability to connect rigorous mathematics with modern verification tools.
- Used Lean to prove an equivalent characterization of intrinsic interior.
Academic & Volunteer Experience
Teaching Assistant / Grader
NYU Shanghai • Jan. 2026 – Present
Courses:
- Network and Dynamics & Honors Analysis I
- Responsible for grading assignments and providing detailed feedback on student coursework.
Teaching Assistant — Higher Algebra
Department of Mathematics, Xi’an Jiaotong University • Sept. 2024 – Jan. 2025
- Designed and led bi-weekly tutorials for a class of over 50 undergraduate students.
- Created comprehensive solution guides and graded assignments to reinforce conceptual understanding.
Mathematics Tutor (Volunteer)
School of Journalism and New Media, Xi’an Jiaotong University • Jan. 2024 – Feb. 2024
- Mentored a 10th-grade student in mathematics, focusing on problem-solving strategies.
- Facilitated significant academic improvement, helping the student advance from rank 11,594 to 3,870 in city-wide examinations.
Honors & Awards
Top Ten Outstanding Student Models
Xi’an Jiaotong University • 2023 – 2024
National Scholarship
2022 – 2023
Awarded to the top 0.25% of students nationwide.
Baosteel Excellent Student Award
2023 – 2024
National recognition for academic excellence, one of 500 recipients nationwide.
Professor Jianhua Wang Scholarship
2024 – 2025
Awarded to top graduating undergraduates at Xi’an Jiaotong University for outstanding academic performance, integrity, and leadership.
Chinese Mathematics Competition
National 1st Prize • 2022 & 2023
Recognized for excellence in mathematical problem solving.
S.-T. Yau College Student Mathematics Contest
2024
Honorable Mention in Applied & Computational Mathematics (Global Rank 17) and Honorable Mention in Analysis & PDE.
Chinese Mathematics Competition (Final Round)
Senior Group • 2024
1st Prize in the national finals.
Skills
Programming
- Python
- MATLAB
- C / C++ / C#
- Lean
- LaTeX
Languages
- English — TOEFL 105
- GRE — 322 (V+Q) & 3.0 AWA
Subject Mastery
- GRE Mathematics Subject Test: 970
- Advanced undergraduate analysis and algebra
- Stochastic processes & optimization
Blogs
Exploring the Robustness of the Frank-Wolfe Method
March 2025 | Optimization
A deep dive into Frank-Wolfe algorithms under inexact gradient information and a comparison between linear minimization oracles and projections.
Read the full articleA Wasserstein Penalty Framework for Stochastic Optimization
August 2025 | Optimization
Interpreting stochastic gradient updates through distributionally robust penalties, including explicit algorithms and full convergence proofs.
Read the blog postTraining Physics Informed Neural Network with MUON
August 2025 | Optimization
Optimizing Physics Informed Neural Network with MUON
Read the blog postFirst Attempt to Reproduce a State-of-the-Art Article
August 2024 | Machine Learning
Learned to Use Pytorch and Data-Gathering Techniques
Read the blog postLet’s Connect
I am always excited to discuss optimization, mathematics, and opportunities for collaboration. Feel free to reach out!
No. 28, West Xianning Road, Xi’an 710049, Shaanxi, China