Research

(pre)Publications

  1. The local Gross-Prasad conjecture over R: Epsilon dichotomy, with C. Chen. Preprint, 29pp.

  2. Bias of Root Numbers for Hilbert Newforms of Cubic Level, with Q. Pi and H. Wu. arxiv:2110.08310, 40pp.

  3. Certain Fourier Operators on \GL_1 and Local Langlands Gamma functions, with D. Jiang. Accepted by PJM, 28pp.

  4. Certain Fourier Operators and their Associated Poisson Summation Formulae on \GL_1, with D. Jiang. arXiv:2108.03566, 48pp

  5. A Local Trace Formula for the Local Gross-Prasad Conjecture for Special Orthogonal Groups. Preprint, 101pp.

  6. An Introduction to the Proposal of Braverman and Kazhdan. (Proceedings of the IMS Singapore workshop on the Langlands program, 2019). Accepted, 58pp.

  7. Harmonic Analysis and Gamma Functions on Symplectic Groups, with D. Jiang and L. Zhang. Accepted by Memoirs of AMS, 99pp.

  8. On the Stable Transfer for \Sym^{n} Lifting of \GL_{2}, with D. Johnstone. arXiv:2002.09551, 33pp.

  9. On the Braverman–Kazhdan proposal for local factors: spherical case. Pacific Journal of Mathematics, Vol. 300 (2019), No. 2, 431–471, DOI: 10.2140/pjm.2019.300.431

Invited Talks

On the Langlands Program: Endoscopy and Beyond, December 17, 2018-January 18, 2019, Institute for Math. Sciences, National University of Singapore, Singapore.

Cross Atlantic Representation Theory and Other topics ONline, May 29-31, 2020.

Representation Theory and Number Theory Seminar, October 8, 2020. National University of Singapore.

Representation Theory and Number Theory Seminar, October 15, 2020. National University of Singapore.

Algebraic Geometry and Representation Theory Seminar, November 18, 2020. The Weizmann Institute of Science.

Junior Number Theory Days, December 4-5, 2020. John Hopkins University.

Automorphic forms and arithmetic, December 11, 2020, Columbia University.

Algebra and Number Theory Seminar, February 9, 2021, Yale University.

Lie Groups Seminar, March 10, 2021, MIT.

AMS Section meeting “Recent Developments in Automorphic Representations” , March 20-21,2021.

Number Theory Seminar, November 3, 2021, Duke University.

Automorphic Forms and Number theory, November 11, 2021, Purdue University.

Basic Functions, Orbital Integrals, and Beyond Endoscopy, November 15, 2021, Prof. Casselman's 80th Birthday.

Loo-Keng Hua Youth Forum on Mathematics, May 5, 2022, Chinese Academy of Sciences, China.

Loo-Keng Hua Youth Forum on Mathematics, May 8, 2022, Chinese Academy of Sciences, China.

Loo-Keng Hua Youth Forum on Mathematics, May 9, 2022, Chinese Academy of Sciences, China.