Research

Publications:

  1. Converse theorem of Gauss sums, with an appendix by Zhiwei Yun, arXiv:1806.04850, accepted by Journal of Number Theory, joint with Chufeng Nien.
  2. Arthur parameters and cuspidal automorphic modules of classical groups, Ann. of Math. (2) 191 (2020), no. 3, 739–827, joint with Dihua Jiang.
  3. On the non-vanishing of the central value of certain L-functions: unitary groups, J. Eur. Math. Soc., 22 (2020), no. 6, 1759–1783,, joint with Dihua Jiang.
  4. Bessel descents and branching problems,  arXiv:1905.02307, accepted, 2020, joint with Dihua Jiang.
  5. Local root numbers and spectrum of the local descents for orthogonal groups: p-adic caseAlgebra Number Theory 12 (2018), no. 6, 1489–1535,  joint with Dihua Jiang.
  6. Whittaker-Shintani functions for general linear groups, Sci. China Math. 61 (2018), no. 1, 95–110.
  7. Automorphic Integral Transforms for Classical Groups II: Twisted Descents, Representation theory, number theory, and invariant theory, 303–335, Progr. Math., 323, Birkhauser/Springer, Cham, 2017, joint with Dihua Jiang.
  8. The Jacquet Langlands correspondence via twisted descent, Int Math Res Notices, 2016 (18): 5455–5492, joint with Dihua Jiang, Baiying Liu, and Bin Xu.
  9. Tokuyama-type formulas for type B, Israel J. Math. 216 (2016), no. 2, 617–655, joint with Solomon Friedberg.
  10. Distinguished Tame Supercuspidal Representations of Symmetric Pairs (Sp(4n, F), Sp(2n,E)),  With an appendix by Dihua Jiang and Lei Zhang, Manuscripta Math. 148 (2015), no. 1–2, 213–233.
  11. Eisenstein series on covers of odd orthogonal groups, Amer. J. Math. 137 (2015), no. 4, 953–1011, joint with Solomon Friedberg.
  12. A product of tensor product L-functions of quasi-splits classical Groups of Hermitian type,Geom. Funct. Anal. 24 (2014), no. 2, 552–609, joint with Dihua Jiang.
  13. Sp(2n,F_{q^2})-invariants in irreducible unipotent representations of Sp(4n, F_{q}), J. Algebra 395 (2013), 24–46.
  14. Poles of certain residual Eisenstein series of classical groups, Pacific J. Math. 264 (2013), no. 1, 83–123, joint with Dihua Jiang and Baiying Liu.
  15. Gelfand pairs (Sp(4n,F), Sp(2n,E)) J. Number Theory 130 (2010), no. 11, 2428–2441.

Preprints:

  1. Harmonic Analysis and Gamma Functions on Symplectic Groups, arXiv:2006.08126, preprint 2020, joint with Dihua Jiang and Zhilin Luo.
  2. Simple Fourier Trace Formulas of Cubic Level and Applications, arXiv:1906.06103, preprint, 2019, joint with Qinghua Pi and Yingnan Wang.
  3. The exterior cube L-function for GU(6) and unitary automorphic induction, arXiv:1903.04322, preprint, 2019.
  4. The multiplicity problems for the unitary Ginzburg-Rallis models, arXiv:1808.02203, preprint, 2018, joint with Chen Wan.