助研究員 |   蔡政江
聯絡資訊
  • chchtsai$\color{red}{@}$gate.sinica.edu.tw
  • +886 2 2368-5999 ext. 744
  • +886 2 2368-9771
研究專長
  • Representation Theory
  • Number Theory
學歷
  • Ph.D in Mathematics 美國哈佛大學 (2011-2015)
  • B.S. in Mathematics 台灣大學 (2006-2010)
相關連結

經歷
  • Szegö assistant professor Stanford 2017-2020
  • Member IAS 2016 spring
  • C.L.E. Moore instructor MIT 2015-2017

獲獎
  • Silver Prize, New World Mathematics Award, Doctoral Thesis Award, 2016
  • Merit Fellowship (for graduate students), Harvard, 2014

研究簡介

I am interested in Langlands correspondence, especially on the representation and local side, as well as relevant geometric representation theory. My current focus is on building up affine Springer theory with an eye towards applications to characters of p-adic groups and their endoscopy.


部分著作目錄
  1. "Inductive structure of Shalika germs and affine Springer fibers" , preprint. (http://arxiv.org/abs/1512.00445)
  2. (with Tony Feng, Niccolo Ronchetti) "Epipelagic Langlands parameters and $L$-packets for unitary groups" , International Journal of Number Theory , 1449-1491, 2020.
  3. "Invariant distributions on the nilcone" , Proceedings of the Seventh International Congress of Chinese Mathematicians , 2, 77-85, 2019.
  4. "On Moy-Prasad restrictions and descent" , preprint, 2019.
  5. "Depth-zero local Langlands and monodromy of character sheaves" , preprint, 2019.
  6. "Components of affine Springer fibers" , International Mathematics Research Notices , 2018.
  7. "A formula for certain Shalika germs of ramified unitary groups" , Compositio Mathematica , 2017.
  8. "Computations of orbital integrals and Shalika germs" , preprint, 2014.