Hayden - Research Group

Research Group

Current PhD Students (Advanced to Candidacy)

Tracy Yu
- UCLA, 5th year
- Research in data assimilation, randomized operator learning methods for operator, and memorization.
Jacob Murri
- UCLA, 5th year
- Research in data assimilation for fluid dynamics and nonlocal PDE.

Current Postdoctoral Scholars

Former Graduate Students

Yuxuan Liu, UCLA, Ph.D. 2026
- Dissertation: "Foundation Models for Partial Differential Equations: Learning Spatiotemporal Dynamics at Scale"
- Current: Software Engineer, CoreML group, Google
Jingmin Sun, CMU, PhD 2025
- Dissertation: "Architecture, Analysis and Applications of Multi-Operator Learning"
- Current: Postdoctoral Fellow, Department of Applied Mathematics and Statistics at Johns 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"