Emile Okada

Assistant Professor at Nanyang Technological University, Singapore

Office: SPMS-MAS-04-16

Email: firstname.lastname at ntu.edu.sg

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

Postdoctoral Position in Representation Theory

I am recruiting one postdoctoral researcher for a two-year position, at Nanyang Technological University (NTU), Singapore. The expected start date is September 2026, though this is flexible.

The position is in representation theory, broadly construed. Topics of particular interest include p-adic representation theory, harmonic analysis, Langlands program, Hecke algebras, periodically graded Lie algebras, and geometric representation theory.

Applicants should hold a PhD in mathematics (or expect to complete one before the start date) in a relevant area.

To apply, please email me your CV and a research statement. Deadline: 30 June.

PhD Position in Representation Theory

I am recruiting one fully funded PhD student, based at Nanyang Technological University (NTU), Singapore.

The project will be in representation theory, broadly construed. Applicants should hold (or expect to hold) a strong undergraduate or master's degree in mathematics.

To apply, please email me your CV, transcripts, and a brief statement of interest.

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.

Preprints

A Microlocal Description of Aubert-Zelevinsky Duality on Unipotent L-Parameters (with J. Antor),
arXiv:2605.06180.

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.

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.

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

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