Research
I am currently interested in the relative Langlands program.
Publications
The generalized linear period. J. Number Theory. 233 (2022), 261--284.
Vanishing of certain equivariant distributions on spherical spaces for quasi-split groups. J. Pure Appl. Algebra. 226 (2022) issue 3, article ID: 106870.
The distinction problems for Sp(4) and SO(3,3). Forum Math. 33 (2021), No.2, 321--337.
The GSp(1,1)(A)-distinguished representation. Math. Zeit. 298(2021), issue 1-2, 497--519.
The Prasad conjectures for GSp(4) and PGSp(4). Algebra & Number Theory, 14 (2020), No.9, 2417--2480.
The distinction problem for metaplectic case, Int. J. Number Theory 16 (2020), issue 6, 1161–1183. [arXiv]
Some applications of theta correspondence to branching laws, Math. Res. Lett. 27 (2020), No.1, 243--263. [pdf]
The SL(1,D)-distinction problem, Pacific J. Math. 300 (2019), No. 1, 65--82.
The Prasad conjectures for U(2), SO(4) and Sp(4), J. Number Theory 204 (2019), 211--245.[pdf]
Theta correspondence and the Prasad conjecture for SL(2), Pacific J. Math. 295 (2018), No.2, 477--498. [pdf]
A New Proof to the Period Problems of GL(2), J. Number Theory 180 (2017), 1--25. [arXiv]
GSp(4)-period problems over a quadratic field extension, Ph.D. thesis, NUS, 2017.
Preprints
The action of a mirabolic subgroup on a symmetric variety. J. Algebra 2022
Multiplicity one for the pair (GL(n,D),GL(n,E)). Transform. Groups. 2022
Modulo l distinction problems. with Peiyi Cui, Thomas Lanard. (2022) [arXiv] to appear in Compos. Math.
The sign of linear periods. with U.K. Anandavardhanan, N. Matringe, V. Secherre and C. Yang (2024) [arXiv]