معرفی
Yao Li is an Associate Professor in the Department of Mathematics and Statistics at the University of Massachusetts Amherst. He holds a Ph.D. in Mathematics from Georgia Institute of Technology (2012) and previously served as a Courant Instructor at New York University’s Courant Institute. His research focuses on applied probability, dynamical systems, numerical analysis, and their intersections with machine learning, neuroscience, and statistical mechanics. He has contributed to understanding stochastic dynamics, invariant measures, and the mathematical foundations of machine learning. His work bridges theoretical mathematics with interdisciplinary applications in biology, physics, and engineering.
Education:
- Ph.D. in Mathematics, Georgia Institute of Technology, 2012
- Courant Instructor, Courant Institute of Mathematical Sciences, New York University
Research Interests:
Dr. Li’s research spans applied probability, dynamical systems, and numerical analysis. Key areas include:
- Machine learning and data-driven computational methods
- Neuroscience modeling (spiking neural networks, cortical processing)
- Nonequilibrium statistical mechanics (thermodynamic laws, energy exchange models)
- Stochastic processes and their ergodic properties
Teaching & Advising:
He teaches advanced courses such as Numerical Analysis, Applied Math Project Seminar, and Statistics. While specific student advisees are not listed, his research group likely engages graduate students in interdisciplinary projects. His courses integrate theoretical concepts with real-world applications, reflecting his research focus on computational and applied methods.
Labs/Teams:
Dr. Li’s research is conducted within the Department of Mathematics and Statistics at UMass Amherst, collaborating with institutions like the Courant Institute and Georgia Tech. His work often involves interdisciplinary teams addressing problems at the intersection of mathematics, physics, and biology.
