Undergraduate Research Projects

This page shows the list of students with the research topics I have mentored.

Yiying Zhong — Mathematical foundation of neural networks and Physics Informed Neural Networks, 2025_Spring
Michael Weagle
  • Ruin Theory (probabilistic analysis of risk management), 2025_Spring
  • Optimization Theory and the analysis of the class of PL functions, 2024_Fall
Jahnavi Anand Modi
  • Paper reading; Portfolio Optimization within a Wasserstein Ball (Silvana M.P and Sebastian J., 2023), 2024_Fall
  • Stochastic Differential Equations and Black-Scholes Model, 2024_Spring
Shubhankar Tripathy — Optimizing GPT-PINN_Mathematical Foundations, Shortcomings, and Enhancements, 2024_Fall
Emily Chandran — Neural Network_Basic theory and function fitting, Spring 2024
Chuong Huynh — Stochastic partial differential equations, Fall 2023
Adon Osimo — Bayesian Optimization, Fall 2023
Alexander Ruse — Generative Diffusion Model, Spring 2023