My research lies at the intersection of number theory and representation theory, centered on the Langlands program. I study automorphic forms, L-functions, and local representation theory of reductive groups. My work focuses primarily on four interconnected themes:

• Gan-Gross-Prasad conjectures for GSpin groups, automorphic descent, and functoriality

• Rankin-Selberg integrals, also known as integral representations of L-functions

• Local representation theory, including Bessel and linear models, local converse problems, and epsilon dichotomy

• Arithmetic of automorphic forms, periods, and special values of L-functions

My papers can be found on arXiv; see also Google Scholar and ResearchGate. 

Selected Recent Work

Twisted automorphic descent to odd GSpin groups and applications
Establishes twisted automorphic descent to split and non-split odd GSpin groups, with applications to the global Jacquet-Langlands correspondence and the global Gan-Gross-Prasad conjecture.

Rankin-Selberg integrals for GSpin groups with application to the global Gan-Gross-Prasad conjecture
Constructs new Rankin-Selberg integrals for GSpin groups and applies them to establish certain cases of the global Gan-Gross-Prasad conjecture for GSpin groups.

Uniqueness of Bessel models for GSpin groups (Accepted, Nagoya Mathematical Journal)
Proves the uniqueness of general Bessel models for GSpin groups over local fields of characteristic zero, providing a local multiplicity-one foundation for period integrals and Gan-Gross-Prasad problems.

Preprints

• 15. Twisted automorphic descent to odd GSpin groups and applications, 76 pages. [arXiv:2607.25127]

• 14. Rankin-Selberg integrals for GSpin groups with application to the global Gan-Gross-Prasad conjecture, 59 pages.  [arXiv:2508.09066 (earlier version), latest manuscript]  

• 13. Component groups for non-supercuspidal L-parameters for p-adic SL_3 (with Kwangho Choiy, Doyon Kim, and Razan Taha), 15 pages. [arXiv:2507.20946]

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

Publications

• 11. Uniqueness of Bessel models for GSpin groups
  Accepted for publication in  Nagoya Mathematical Journal, 26 pages.
  [arXiv:2503.20116]

• 10. Product of Rankin-Selberg convolutions and a new proof of Jacquet's local converse conjecture (with Qing Zhang)
  Journal of the Institute of Mathematics of Jussieu (2026), 1-75.
  [DOI, arXiv:2309.10445]

• 9. Fourier coefficients and algebraic cusp forms on U(2,n) (with Anton Hilado and Finn McGlade)
  Accepted for publication in Israel Journal of Mathematics, 30 pages.
  [arXiv:2404.17743]

• 8. Epsilon dichotomy for twisted linear models (with Hang Xue)
  Pacific Journal of Mathematics, 334 (2025), no. 1, 59-106.
  [DOI, arXiv:2404.00561]

• 7. Some remarks on strong multiplicity one for paramodular forms (with Xiyuan Wang, Zhining Wei and Shaoyun Yi)
  Mathematika 72 (2026), no. 2, 32 pp.
  [DOI, arXiv:2310.17144]

• 6. L-functions for Sp(2n)xGL(k) via non-unique models (with Yubo Jin)
  International Mathematics Research Notices, 2025, no.  5, 41 pp.
  [DOI, arXiv:2303.02544] 

• 5. Generalizations of the Erdős-Kac Theorem and the Prime Number Theorem (with Biao Wang, Zhining Wei and Shaoyun Yi)
  Communications in Mathematics and Statistics, 13 (2025), pp. 1177-1197.
  [DOI, arXiv:2303.05803]

• 4.  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]

• 3. On a refined local converse theorem for SO(4) (with Qing Zhang)
  Proceedings of the American Mathematical Society, 152 (2024), pp. 4959-4976.
  [DOI, arXiv:2302.06256]

• 2. 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] 

• 1.  L-function for Sp(4)xGL(2) via a non-unique model
  Accepted for publication in Acta Mathematica Sinica, English Series, 37 pages.
  [arXiv:2110.05693] 

Theses

• L-function for Sp(4)xGL(2) via a non-unique model. Ph.D. Thesis, 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)