Research

My research interest is representation theory. My dissertation is on the asymptotic behavior of direct summands in tensor powers of representations of groups, and the asymptotic behavior of in tensor powers of tilting modules of SL_2(K).

Currently, I am exploring more results on the topics related to my thesis. 

Publication:

1. (With Aranya Lahiri) Asymptotics for number of indecomposable components of tensor powers of the natural SL2-module in odd characteristic, arXiv: 2609.37706

2. Fractal behavior of tensor powers of tilting modules of SL_2(K), arXiv: 2512.24317 

3. Asymptotic Growth of Trivial Summands in Tensor Powers, (Submitted) arXiv: 2501.11125

4.  (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 

In Progress:

1. (With Michael Larsen)  A Growth Dichotomy for Trivial Composition Factor in Tensor Power