I am interested in number theory and representation theory, especially
automorphic forms and representations
integral representations of L-functions
relative trace formula
converse theorems
functoriality
representation theory of real and p-adic groups
the Langlands program
(Pre)publications
Fourier coefficients and algebraic cusp forms on U(2,n)
(with Anton Hilado and Finn McGlade), preprint, 2024, 27 pages. [arXiv:2404.17743]
Epsilon dichotomy for twisted linear models
(with Hang Xue), preprint, 2024, 38 pages. [arXiv:2404.00561]
Cohomology classes, periods, and special values of Rankin-Selberg L-functions
(with Yubo Jin), submitted in 2024, 21 pages. [arXiv:2403.18154]
Some remarks on strong multiplicity one for paramodular forms
(with Xiyuan Wang, Zhining Wei and Shaoyun Yi), submitted in 2023, 28 pages. [arXiv:2310.17144]
Product of Rankin-Selberg convolutions and a new proof of Jacquet's local converse conjecture
(with Qing Zhang), submitted in 2023, 50 pages. [arXiv:2309.10445]
On New Way integrals for Sp(2n)xGL(k)
(with Yubo Jin), submitted in 2023, 37 pages. [arXiv:2303.02544]
On a refined local converse theorem for SO(4)
(with Qing Zhang), submitted in 2022, 16 pages. [arXiv:2302.06256]
L-function for Sp(4)xGL(2) via a non-unique model
Under revision in 2023. [arXiv:2110.05693]
A note on a Hecke type integral for Sp(2n)xGL(1)
Journal of the Ramanujan Mathematical Society, 39 (2024), no.1, 13-20. [DOI,arXiv:2303.02537]
Generalizations of the Erdős-Kac Theorem and the Prime Number Theorem
(with Biao Wang, Zhining Wei and Shaoyun Yi), Communications in Mathematics and Statistics, 21 pages, published online in 2023. [DOI, arXiv:2303.05803]
The unramified computation of a Shimura integral for SL(2)xGL(2)
Rocky Mountain J. Math. 53(4): 1313-1325, 2023. [DOI, arXiv:2210.13653]
L-function for Sp(4)xGL(2) via a non-unique model
Thesis (Ph.D.)–The Ohio State University. 2022. 106 pp. ISBN: 979-8351-43888-7, ProQuest LLC (also available at OhioLink)
On unipotent orbital integrals for p-adic groups
Master Thesis, Oklahoma State University, 2016. 27 pp. ProQuest LLC (also available at SHAREOK)
Lecture notes and course notes
(notes taken by me on a mini-course given by Solomon Friedberg at A Pair of Automorphic Workshops 2022 at University of Oregon)
Linear Algebraic Groups (Instructor: Mahdi Asgari, Fall 2015)
Local Class Field Theory (prepared and written by me for a reading course with D. Wright, Summer 2015)
Algebraic Number Theory (Instructor: David Wright, Fall 2014)
Complex Analysis I (Instructor: Anthony Kable, Fall 2014)
Complex Analysis II (Instructor: Anthony Kable, Spring 2015)