Address:
Morningside Center of Mathematics, No.55, Zhongguancun East Road,
Beijing, 100190, China
Personal information:
I am currently a postdoc at the Morningside Center of Mathematics, Beijing, China.
My research interest lies in representation theory of groups (p-adic group and finite group of Lie type) and local Langlands Correspondence. I am mainly working on l-integral and l-modular representation theory.
Education & Career :
2018/10-2019/09 ATER Sorbonne University, Paris, France
2015/09-2018/06 Ph.D University of Rennes 1, Rennes, France (Supervisor: Anne-Marie Aubert, Michel Gros)
2014/09-2015/06 Master Paris-Sud University, Orsay, France
2010/09-2014/07 B.S Wuhan University, Wuhan, China
Publications & Preprints:
1. Peiyi Cui, Supercuspidal support of irreducible modulo l-representations of SL_n(F), Int Math Res Notices, rnac133, 1073-7928, 2022;
2. Peiyi Cui, Category decomposition of Rep_k(SL_n(F)), Journal of Algebra, Vol. 602, 2022, Pages 130-153.
3. Peiyi Cui, Thomas Lanard, Hengfei Lu, Modulo l distinction problems, joint with Thomas Lanard and Hengfei Lu, 2024, to appear in Compositio Mathematica.
4. (Preprint) Peiyi Cui, Modulo l-representations of p-adic groups SL_n(F): maximal simple k-types, 2020, arxiv.org/abs/2012.07492.
5. (Preprint) Peiyi Cui, l-modular blocks of Rep_k(SL_n(F)), 2023, arxiv.org/abs/2312.05954.
