Research Group

Current Graduate Students

Current PhD Students (Advanced to Candidacy)

Yuxuan Liu, UCLA, works on mathematical machine learning, applied analysis, and optimization.
Tracy Yu, UCLA, works on randomized methods for operator and PDE approximation.
Jacob Murri, UCLA, works on data assimilation for fluid dynamics and nonlocal PDE.

Current PhD Students (Completed Qualifying Exams)

If you are a current PhD student and interested in joining, please feel free to reach out.

Current Postdoctoral Researchers

Current Postdoctoral Scholars

Co-mentored Postdoctoral Scholars

Liyao Lyu, PIC Hedrick Assistant Adjunct Prof., 2025-2028, co-mentored with A. Bertozzi
Minxin Zhang, PIC Hedrick Assistant Adjunct Prof., 2023-2026, co-mentored with D. Needell
Chunyang Liao, PIC Hedrick Assistant Adjunct Prof., 2023-2026, co-mentored with D. Needell

Former Students and Postdocs

Former Graduate Students

Jingmin Sun, CMU, PhD 2025
- Dissertation: "Architecture, Analysis and Applications of Multi-Operator Learning"
- Current: Postdoctoral Fellow, Department of Applied Mathematics and Statistics at John Hopkins University
Zhijun Chen, CMU, PhD 2023
- Dissertation: "Conditioning of Random Feature Matrices and Sparse Recovery"
- Current: Researcher at the National Cancer Institute, NIH
Yifan Sun, CMU, PhD 2023
- Dissertation: "Topics on modeling high dimensional time series data"
- Current: Algo Quant, Barclays Capital, NYC
Kayla Bollinger, CMU, PhD 2022
- Dissertation: "Reduced Order Models and Regression for Applications to Structural Modeling"
- Current: Research Analyst at Education Analytics
Linan Zhang, CMU, PhD, 2019
- Dissertation: "Sparse Recovery and Deep Learning For Extracting Time-Dependent Models From Data"