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