Assistant Research Fellow |   Tsai, Cheng-Chiang
Contact Information
  • chchtsai$\color{red}{@}$gate.sinica.edu.tw
  • +886 2 2368-5999 ext. 744
  • +886 2 2368-9771
Research Interests
  • Representation Theory
  • Number Theory
Education
  • Ph.D in Mathematics Harvard University (2011-2015)
  • B.S. in Mathematics National Taiwan University (2006-2010)

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

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

Research Descriptions

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.


Selected Publications
  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.