I am a PhD student at the Chinese University of Hong Kong under the supervision of Prof. Xuhua He. My research interests lie in Lie theory and representation theory in general. Recently I have been working on the centers and cocenters of Hecke algebras. In my leisure time, I also enjoy reading everything related to geometric representation theory and the Langlands program.
Email: haiyu.chen.math at gmail dot com
Paper: Regularity of Unipotent Elements in Total Positivity (transformation groups)
Ph.D. Thesis: Centralizers in Hecke Algebras of Any Coxeter Group (draft available upon request)
I am posting some notes I wrote along with my PhD study here. These are my leisure writings with no claim of originality and may contain mistakes.
Category theory (for the seminar)
Homological algebra (for the seminar)
Hopf algebras and Tannakian reconstruction for finite groups
The Chevalley-Eilenberg complex (course project of MATH5070)
Total positivity (notes of MATH6032 21-22)
Carter's paper On Conjugacy Classes in the Weyl Groups (presentation for MATH6032 22-23)
HKU conference on representation theory 2023 (HKU conference 2023)