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)

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

Currently I am the most interested in character sheaves on loop groups. I am also interested in explicit local Langlands, in graded Springer theory, and in the interplay of above topics with endoscopy.


部分著作目錄
  1. (with Oscar S. Kivinen) "Shalika germs for tamely ramified elements in GL_n" , arXiv , 2022. (https://arxiv.org/abs/2209.02509)
  2. "Geometric wave-front set may not be a singleton" , arXiv , 2022. (https://arxiv.org/abs/2207.13445)
  3. (with Tony Feng, Niccolo Ronchetti) "Epipelagic Langlands parameters and $L$-packets for unitary groups" , International Journal of Number Theory , 1449-1491, 2020.
  4. "Invariant distributions on the nilcone" , Proceedings of the Seventh International Congress of Chinese Mathematicians , 2, 77-85, 2019.
  5. "Components of affine Springer fibers" , International Mathematics Research Notices , 2018.
  6. "A formula for certain Shalika germs of ramified unitary groups" , Compositio Mathematica , 2017.
  7. "Inductive structure of Shalika germs and affine Springer fibers" , arXiv , 2015. (http://arxiv.org/abs/1512.00445)
  8. "Computations of orbital integrals and Shalika germs" , arXiv , 2014.