B.S. in Mathematics

Jilin University, China

M.S. in Probability and Mathematical Statistics

Jilin University, China

Ph.D. in Mathematical Sciences

Worcester Polytechnic Institute, Worcester, MA, United States

Dr. Peiyao Lai is a Lecturer of Mathematics at College of Science, Mathematics and Technology at Wenzhou-Kean University. She earned her Ph.D. in Mathematics from Worcester Polytechnic Institute, where she focused on data privacy, optimal control, and mean field games. Her research and teaching interests span mathematics, data science, and finance, with experience in computational neuroscience, machine learning, and quantitative modeling. She is dedicated to helping students strengthen their analytical and problem-solving skills. Outside the classroom, Dr. Peiyao is interested in applying data-driven methods across disciplines and in supporting students as they prepare for future careers in research, technology, and industry.

data privacy  

optimal control 

mean field games 

computational neuroscience 

machine learning 

quantitative finance

Jiamin Jian, Peiyao Lai, Qingshuo Song, and Jiaxuan Ye. "The convergence rate of the equilibrium measure for the hybrid LQG Mean Field Game." Nonlinear Analysis: Hybrid Systems 52 (2024): 101454. 

Nuñez P. Guillermo, William A. Wartman, Ryan C. McSweeney, Peiyao Lai, Jens Haueisen, Burkhard Maess, Thomas R. Knösche, Konstantin Weise, Gregory M. Noetscher, Tommi Raij, and et al. "Improving EEG Forward Modeling Using High-Resolution Five-Layer BEM-FMM Head Models: Effect on Source Reconstruction Accuracy" Bioengineering 11 (2024), no. 11: 1071. https://doi.org/10.3390/bioengineering11111071 

Peiyao Lai and Oren Mangoubi.  Singular Subspace Perturbation Bounds via Rectangular Random Matrix Diffusions.  International Conference on Learning Representations (ICLR), 2025. 

• Calculus I

• Calculus II

• Calculus III

• Statistics

• Research and Technology