I am interested in number theory and representation theory, especially automorphic forms, Gan-Gross-Prasad conjectures, and related problems in the Langlands program. My work primarily focuses on four themes:
Gan-Gross-Prasad conjectures for GSpin groups (see article [12, 14] below)
Rankin-Selberg integrals, also known as the theory of integral representations of L-functions (see articles [1, 2, 4, 6, 7, 8, 14] below)
Representation theory of reductive groups over local fields (see articles [4, 5, 8, 12, 13] below)
Arithmetic of automorphic forms and their L-values (see articles [10, 11] below)
My papers can be found on arXiv; see also Google Scholar and ResearchGate.
Preprints
14. Rankin-Selberg integrals for GSpin groups with application to the global Gan-Gross-Prasad conjecture, preprint, 57 pages.
13. (with Kwangho Choiy, Doyon Kim, and Razan Taha) Component groups for non-supercuspidal L-parameters for p-adic SL_3, 15 pages. [arXiv:2507.20946]
12. Uniqueness of Bessel models for GSpin groups, 13 pages. [arXiv:2503.20116]
11. (with Anton Hilado and Finn McGlade) Fourier coefficients and algebraic cusp forms on U(2,n), 27 pages. [arXiv:2404.17743]
10. (with Yubo Jin) Cohomology classes, periods, and special values of Rankin-Selberg L-functions, 21 pages. [arXiv:2403.18154]
9. (with Xiyuan Wang, Zhining Wei and Shaoyun Yi) Some remarks on strong multiplicity one for paramodular forms, 28 pages. [arXiv:2310.17144]
8. (with Qing Zhang) Product of Rankin-Selberg convolutions and a new proof of Jacquet's local converse conjecture, 55 pages [arXiv:2309.10445]
7. L-function for Sp(4)xGL(2) via a non-unique model, 45 pages. [arXiv:2110.05693]
Publications
6. (with Yubo Jin) L-functions for Sp(2n)xGL(k) via non-unique models, International Mathematics Research Notices, Volume 2025, Issue 5, March 2025. [DOI, arXiv:2303.02544]
5. (with Hang Xue) Epsilon dichotomy for twisted linear models, Pacific Journal of Mathematics, 334 (2025), no. 1, 59-106. [DOI, arXiv:2404.00561]
4. (with Qing Zhang) On a refined local converse theorem for SO(4), Proceedings of the American Mathematical Society, 152 (2024), pp. 4959-4976. [DOI, arXiv:2302.06256]
3. (with Biao Wang, Zhining Wei and Shaoyun Yi) Generalizations of the Erd\"{o}s-Kac Theorem and the Prime Number Theorem, Communications in Mathematics and Statistics, published online in 2023. [DOI, arXiv:2303.05803]
2. 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]
1. The unramified computation of a Shimura integral for SL(2)xGL(2), Rocky Mountain Journal of Mathematics 53(4): 1313-1325, 2023. [DOI, arXiv:2210.13653]
Theses
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)