About me

Currently a beginning Visiting Assistant Professor at the University of Massachusetts Amherst. Hobbies: Naruto/Boruto, Detective Conan, NBA, Yu-Gi-Oh! (a trading card game, I am a semi-professional Yu-Gi-Oh! player by the way), etc. Email: fcao@umass.edu. I am glad to discuss mathematics and potential research collaboration possibilities with you via email. I am interested in partial differential equations, stochastic processes, interacting particle systems, and theoretical machine learning. My Ph.D advisor is Sebastien Motsch. My CV can be found at here


  • Asymptotic flocking for the three-zone model; Fei Cao, Sebastien Motsch, Alexander Reamy, Ryan Theisen; 2020
  • K-averaging agent-based model: propagation of chaos and convergence to equilibrium; Fei Cao; 2021
  • Explicit decay rate for the Gini index in the repeated averaging model; Fei Cao; 2022


  • Derivation of wealth distributions from biased exchange of money; Fei Cao, Sebastien Motsch; 2021
  • Entropy dissipation and propagation of chaos for the uniform reshuffling model; Fei Cao, Pierre-Emmanuel Jabin, Sebastien Motsch; 2021
  • From interacting agents to Boltzmann-Gibbs distribution of money; Fei Cao, Pierre-Emmanuel Jabin; 2022
  • Uncovering a two-phase dynamics from a dollar exchange model with bank and debt; Fei Cao, Sebastien Motsch; 2022


  • MAT 171 Precalculus (Fall 2019) at Arizona State University
  • MATH 132 Calculus II (Fall 2022) at University of Massachusetts Amherst


  • Visiting Scholar in the Department of Mathematics at the Pennsylvania State University (02/02/2022 - 02/18/2022), hosted by Professor Pierre-Emmanuel Jabin.
  • Graduate Student Research Award (2022) awarded by School of Mathematical and Statistical Sciences at Arizona State University