Research

My research interest is representation theory. I also like algebraic groups and algebraic geometry. My thesis problem is on the asymptotic behavior of trivial summands in tensor powers of indecomposable representations of groups, and I used results from probability theory, algebraic groups and representation theory of finite groups in my thesis.

Currently, I am exploring more results on the topics related to my thesis. My favorite math book so far is Linear Representations of Finite Groups.  

Publication:

1. Asymptotic Growth of Trivial Summands in Tensor Powers, (Preprint) arXiv: 2501.11125

2. (With J.-W. Guo, and C.-F. Yu ) Class Numbers of CM Algebraic Tori, CM Abelian Varieties and Components of Unitary Shimura Varieties Nagoya Math. Journal, (2020), 1-2