Dihua Jiang

Professor of Mathematics

  • School of Mathematics, University of Minnesota, 206 Church St. S.E., Minneapolis, MN 55455, USA.
  • Office: 224 Vincent Hall, Phone No.: (612) 625-7532, Email: dhjiang@math.umn.edu


  • 2022-2023: Math 8271-8272 (Modular Forms and L-functions) ()


    Automorphic Forms, L-functions, Representation Theory, Number Theory
  • research description; research papers; (math. review of my papers); Academic Experience (From 1989)

    Selected Publications

    Degree 16 standard $L$-function of GSp(4) x GSp(4). Mem. Amer. Math. Soc. 123 (1996), no. 588 (196pp)

    Arithmeticity of discrete subgroups and automorphic forms. Geom. Funct. Anal. 8 (1998), no. 3, 586--605. (with I. Piatetski-Shapiro)

    $G_2$-periods and residual representations. J. Reine Angew. Math. 497 (1998), 17--46.

    Cubic unipotent Arthur parameters and multiplicities of square integrable automorphic forms. Invent. Math. 149 (2002), no. 2, 225--265. (with W.T. Gan; N. Gurevich)

    Local converse theorem for SO(2n+1) and applications. Annals of Math. 157(2003), 743--806. (with D. Soudry)

    On the non-vanishing of the central value of the Rankin-Selberg L-functions. Journal of AMS. 17 (2004), 679--722. (with D. Ginzburg; S. Rallis)

    Erratum to "On the non-vanishing of the central value of the Rankin-Selberg L-functions. Journal of AMS. 17 (2004), 679--722" (arXiv:1905.02644) 2019 (with Ginzburg; Liu; Rallis)

    Periods and distribution of cycles on Hilbert modular varieties. Pure and Applied Mathematics Quarterly, 2(2006)(1), 221--279. (with Jianshu Li; Shouwu Zhang)

    On the fundamental automorphic $L$-functions of SO(2n+1). IMRN Volume 2006, Article ID 64069, 1--26

    Uniqueness of the Ginzburg-Rallis models: the archimedean case. Trans. Amer. Math. Soc. 363 (2011), 2763--2802. (with Binyong Sun and Chen-Bo Zhu)

    Automorphic integral transforms for classical groups I: endoscopy correspondences. Automorphic Forms: L-functions and related geometry: assessing the legacy of I. Piatetski-Shapiro, 179--242. Contemp. Math., 614, 2014, AMS

    A product of tensor product L-functions for classical groups of hermitian type. Geom. Funct. Anal. 24 (2014), no. 2, 552--609. (with Lei Zhang)

    Towards the Jacquet conjecture on the local converse problem for p-adic GL(n). Journal of the European Mathematical Society, 17 (2015) (4), 991--1007. (with C.-F. Nien and S. Stevens)

    Raising nilpotent orbits in wave-front sets. Representation Theory 20 (2016), 419--450. (with Baiying Liu; G. Savin)

    A reciprocal branching problem for automorphic representations and global Vogan packets. J. Reine Angew. Math. 765 (2020) , 249--277 (with Baiying Liu; Bin Xu)

    Arthur parameters and cuspidal automorphic modules of classical groups. Annals of Math. 191(2020), no.3, 739--827. (with Lei Zhang)

    Seminar and Conference

  • Lie Theory ; Seminar Schedule, School of Mathematics
  • Some Conferences:

    My Students at UMN

  • Chufeng Nien (PhD 2006); Lei Zhang (PhD 2011); Baiying Liu (PhD 2013); Xin Shen (PhD 2013); Chen Wan (PhD 2017); Fangyang Tian (PhD 2018); Zhilin Luo (PhD 2021)
  • Shengmei An; Xinchen Miao; Cheng Chen; Zhaolin Li; Guodong Xi; David Luo

    Math Links

  • Number Theory; Arithmetic Geometry; Representation; arXiv
  • LiE

    Math Home Page