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Tam Kam Fai

Department of Mathematics

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Research Interest

Representation theory of p-adic reductive groups, endoscopic classification, supercuspidal representations, with number theoretic applications.

Educational Background

  • PhD (Mathematics), Sep 2007 - Aug 2012, University of Toronto.
  • MPhil (Mathematics),Sep 2005 - Aug 2007, The Hong Kong University of Science and Technology.
  • BSc (Mathematics),Sep 2002 - Aug 2005, The Hong Kong University of Science and Technology.

Working Experience

  • Mar 2024 - , Xiamen University Malaysia.
  • Jun 2022 - Mar 2024, Radboud University Nijmegen, supported by Dutch Research Council open competition.
  • Sep 2018 - Nov 2020, Radboud University Nijmegen, supported by Radboud Excellence Initiative Fellowship.
  • Sep 2017 - Aug 2018, Max Planck Institute for Mathematics.
  • Jan 2017 - Aug 2017, University of British Columbia.
  • Sep 2016 - Dec 2016, University of Calgary.
  • May 2016 - Jun 2016, Institut des Hautes Etudes Scientifiques.
  • Sep 2013 - Aug 2016, McMaster University.
  • Sep 2012 - Aug 2013, Institut de Mathematiques de Jussieu, supported by European Research Council.

Representative Publications

  • Endoscopic liftings of epipelagic representations for classical groups. ArXiv:2311.02812.
  • Depth Zero Supercuspidal Representations of Classical Groups into L-packets: the Typically Almost Symmetric Case. ArXiv:2312.04061.
  • Base change for ramified unitary groups: the strongly ramified case. Journal fur die reine und angewandte Mathematik , 774 (2021), 127-161. (joint with Corinne Blondel)
  • Explicit Whittaker data for essentially tame supercuspidal representations. Pacific Journal of Mathematics , 301-2 (2019), 617-638.
  • Endoscopic classification of very cuspidal representations of quasi-split unramified unitary groups.
  • American Journal of Mathematics , 140 no. 6, 2018, pp. 1567-1638.
  • On sharpness of the bound for the Local Converse Theorem of p-adic GLprime, tame case. Proceedings of the American Mathematical Society, Series B , 5 (2018), 6-17. (joint with Moshe Adrian, Baiying Liu, and Shaun Stevens)
  • Some endoscopic properties of the essentially tame Jacquet-Langlands correspondence . Documenta Mathematica , 21 (2016), 345-389.
  • Admissible embedding of L-tori and the essentially tame local Langlands correspondence. International Mathematics Research Notices , 2016 (2016), no. 6, 1695-1775.