Emile Okada

Peng Tsu Ann Assistant Professor @ National University of Singapore

Moving to Nanyang Technological University in May 2026

Email: lastname at nus.edu.sg

I work on representation theory, with a focus on p-adic groups, character theory, wavefront sets, Hecke algebras, and the Langlands program.

I am co-organising the conference Wavefront Sets in Number Theory and Representation Theory, which will take place at the Institute for Mathematical Sciences, National University of Singapore, in September 2027. Information will be updated here.

Publications

• Local character expansions and asymptotic cones over finite fields (with D. Ciubotaru),
  Proceedings of the London Mathematical Society, 2025, Volume 130, Issue 5,
  doi.org/10.1112/plms.70046
• Wavefront Sets of Unipotent Representations of Reductive p-adic Groups II (with D. Ciubotaru, L. Mason-Brown),
  Journal fur die reine und angewandte Mathematik (Crelle's Journal), 2025,
  doi.org/10.1515/crelle-2025-0022
• Some Unipotent Arthur Packets for Reductive p-adic Groups (with D. Ciubotaru, L. Mason-Brown),
  International Mathematics Research Notices, 2024, Issue 9, Pages 7502-7525,
  doi.org/10.1093/imrn/rnad245.
• The Wavefront Sets of Unipotent Supercuspidal Representations (with D. Ciubotaru, L. Mason-Brown),
  Algebra & Number Theory, Vol. 18 (2024), No. 10, 1863-1889,
  doi.org/10.2140/ant.2024.18.1863.
• Wavefront Sets of Unipotent Representations of Reductive p-adic Groups I (with D. Ciubotaru, L. Mason-Brown),
  American Journal of Mathematics (to appear),
  arXiv:2112.14354.
• The wavefront set of representations of p-adic groups, PhD thesis.

Preprints

• The stable wave front set of the theta representation (with E. Karasiewicz, R. Wang),
  submitted,
  arXiv:2411.02073.
• Ramification of weak Arthur packets for p-adic groups (with M. Gurevich),
  submitted,
  arXiv:2404.03485.

Recent Talks

• On Lusztig's local Langlands correspondence and functoriality - Xiamen University, China
• An introduction to the representation theory of p-adic groups - Xiamen University, China
• On Singularities and Ramification of Arthur Packets - Peking University, China
• Involutivity in the unramified local Langlands correspondence - Tsinghua University, China
• On the Adams-Vogan conjecture - NCTS, Taiwan (December 2024)
• Types, Hecke algebras, and wave front sets - Oberwolfach, Germany
• Lecture series on the wave front set (4 lectures) - National University of Singapore
• Character sheaves, Hecke algebras, and the wavefront set - University of Melbourne, Australia
• Ramification of weak Arthur packets - Pan Asian Number Theory Conference, Vietnam
• Ramification of weak Arthur packets - University of Aarhus, Denmark
• Ramification of weak Arthur packets - Pacific Rim Conference, Australia
• The wavefront set of a p-adic representation - Chinese University of Hong Kong, Shenzhen, China

Teaching

• MA3201 Algebra II
• MA4263 Introduction to Analytic Number Theory
• MA5211 Lie Theory

P-adic Arthur Packets Seminar - Spring 2024

CV