I am interested in number theory and representation theory, especially automorphic forms and L-functions. My work primarily focuses on three themes: 

• Integral representations of L-functions (see articles [6, 7, 8, 9, 10, 12] below)

• Representation theory of reductive groups over local fields (see articles [1, 3, 6, 9] below)

• Algebraicity of automorphic forms and special values of L-functions (see articles [2, 4] below)

(Pre)publications

1. (with Qing Zhang) On the product Rankin-Selberg gamma factors, 13 pages, available upon request

2. (with Anton Hilado and Finn McGlade) Fourier coefficients and algebraic cusp forms on U(2,n), 27 pages. [arXiv:2404.17743]

3. (with Hang Xue) Epsilon dichotomy for twisted linear models, 38 pages. [arXiv:2404.00561]

4. (with Yubo Jin) Cohomology classes, periods, and special values of Rankin-Selberg L-functions, 21 pages. [arXiv:2403.18154]

5. (with Xiyuan Wang, Zhining Wei and Shaoyun Yi) Some remarks on strong multiplicity one for paramodular forms, 28 pages. [arXiv:2310.17144]

6. (with Qing Zhang) Product of Rankin-Selberg convolutions and a new proof of Jacquet's local converse conjecture, 50 pages [arXiv:2309.10445]

7. (with Yubo Jin) On New Way integrals for Sp(2n)xGL(k), 37 pages. [arXiv:2303.02544] 

8. L-function for Sp(4)xGL(2) via a non-unique model, 45 pages. [arXiv:2110.05693] 

9. (with Qing Zhang) On a refined local converse theorem for SO(4), to appear in Proceedings of the American Mathematical Society. [arXiv:2302.06256]

10. On a Hecke type integral for Sp(2n)xGL(1), J. Ramanujan Math. Soc., 39 (2024), no. 1, 13-20. [DOI,arXiv:2303.02537]

11. (with Biao Wang, Zhining Wei and Shaoyun Yi) Generalizations of the Erd\"{o}s-Kac Theorem and the Prime Number Theorem, Commun. Math. Stat., published online in 2023. [DOI, arXiv:2303.05803]

12. 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] 

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

•  Automorphic Forms and the Langlands Program: A Brief Introduction 

(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)