Baiying Liu

Publications and Preprints

Published (Including Accepted Papers)

  • [38]. The closure ordering conjecture on local Arthur packets of classical groups.
    J. Reine Angew. Math. 823 (2025), 1-60. (with Alexander Hazeltine, Chi-Heng Lo, and Qing Zhang).

  • [37]. On the local converse theorem for split SO(2n).
    Represent. Theory 29 (2025), 209-255. (with Alexander Hazeltine).

  • [36]. On wavefront sets of global Arthur packets of classical groups: upper bound.
    J. European Math. Society. (JEMS) 27 (2025), no. 9, 3841-3888. (with Dihua Jiang). PDF

  • [35]. Quasi-admissible, raisable nilpotent orbits, and theta representations.
    Sci. China Math. 68, 2031-2070 (2025). (with Fan Gao and Wan-Yu Tsai).

  • [34]. On the weak local Arthur packets conjecture for split classical groups.
    Int. Math. Res. Not. IMRN 2024, no. 14, 10708-10731. (with Chi-Heng Lo).

  • [33]. Jiang's conjecture and fibers of the Barbasch-Vogan duality.
    Rad HAZU 28(558) (2024), 107-129. To Marko Tadic on the occasion of his 70th Birthday. (with Chi-Heng Lo and Freydoon Shahidi). PDF.

  • [32]. On a converse theorem for split SO(2n) over finite fields.
    Acta Mathematica Sinica, English Series. Vol 40, 731-771, (2024) (with Alexander Hazeltine).

  • [31]. On local descent for GSpin even.
    Math. Z. 303 (2023), no. 3, 69. (with Eyal Kaplan and Jing Feng Lau). PDF.

  • [30]. Automorphic descent for symplectic groups: the branching problems and $L$-functions.
    Amer. J. Math. Vol 145, N. 3, 2023. 807-859 (with Bin Xu). PDF.

  • [29]. On automorphic descent from GL(7) to G2.
    J. European Math. Society. 25, 4395-4458 (2023) (with Joseph Hundley). PDF.

  • [28]. Jiang's conjecture on local Arthur packets.
    Kudla Proceedings. to appear. (2022) (with Freydoon Shahidi).

  • [27]. On a local converse theorem for G2 over finite fields.
    Math. Annalen. 383 (2022), no. 3-4, 1217-1283. (with Qing Zhang). PDF.

  • [26]. Gamma factors and converse theorems for classical groups over finite fields.
    J. Number Theory. 234 (2022), 285-332. (with Qing Zhang). PDF.

  • [25] A refined Poisson summation formula for certain Braverman-Kazhdan spaces.
    Sci China Math 64 (2021), no. 6, 1127-1156. (with Jayce Getz). DOI. PDF.

  • [24] On top Fourier coefficients of certain automorphic representations of GLn.
    Manuscripta Math. 164 (2021), no. 1-2, 1-22. (with Bin Xu). DOI. PDF.

  • [23]. Degenerate principal series for classical and odd GSpin groups in the general case.
    Representation Theory 24 (2020), 403-434. (with Yeansu Kim and Ivan Matic). PDF.

  • [22]. A remark on a converse theorem of Cogdell and Piatetski-Shapiro.
    J. Reine Angew. Math. 760 (2020), 195--212. (with Herve Jacquet). PDF.

  • [21] On the local converse theorem and the descent theorem in families.
    Math. Z. 295 (2020), no. 1-2, 463-483. (with Gilbert Moss). DOI. PDF.

  • [20] A reciprocal branching problem for automorphic representations and global Vogan packets.
    J. Reine Angew. Math. (Crelle's Journal) (2019) 765 (2020), 249-277. (with Dihua Jiang and Bin Xu). DOI. PDF.

  • [19]. Uniqueness of certain Fourier-Jacobi models over finite fields.
    Finite Fields Appl. 58 (2019), 70-123. (with Qing Zhang). PDF.

  • [18]. A summation formula for triples of quadratic spaces.
    Adv. Math. 347 (2019), 150-191. (with Jayce Getz). PDF.

  • [17]. Fourier coefficients attached to small automorphic representations of SLn(A) and string theory.
    J. Number Theory 192 (2018), 80-142. (with Olof Ahlen, Henrik P. A. Gustafsson, Axel Kleinschmidt and Daniel Persson). PDF.

  • [16]. On the sharpness of the bound for the local converse theorem of p-adic GL(prime).
    Proceedings of Amer. Math. Soc. Series B. Vol. 5, 6-17. (2018) (with Moshe Adrian, Shaun Stevens and Kam-Fai Tam). PDF.

  • [15]. Fourier coefficients and cuspidal spectrum for symplectic groups.
    Geometric aspects of the trace formula, Simons Symposia. 2018, 211--244. (with Dihua Jiang). PDF.

  • [14]. On the Local Converse Theorem for p-adic GLn.
    Amer. J. Math. 140 (2018), no. 5, 1399-1422 (with Herve Jacquet). PDF.

  • [13]. Raising nilpotent orbits in wave-front sets.
    Representation Theory 20 (2016), 419-450. (with Dihua Jiang and Gordan Savin). PDF.

  • [12]. On the Jacquet Conjecture on the local converse problem for p-adic GL(n).
    Representation Theory 20 (2016), 1-13. (with Moshe Adrian, Shaun Stevens and Peng Xu). PDF.

  • [11]. Models transition under theta correspondence.
    J. of Algebra 448 (2016), 431-445, DOI 10.1016/j.jalgebra.2015.09.041. PDF.

  • [10]. Some results on simple supercuspidal representations of $GL_n(F)$.
    J. Number Theory 160 (2016), 117-147, DOI 10.1016/j.jnt.2015.08.002. (with Moshe Adrian). PDF.

  • [9]. The Jacquet-Langlands correspondence via twisted descent.
    Int. Math. Res. Not., 2016, no. 18, 5455--5492.(with Dihua Jiang, Bin Xu and Lei Zhang). PDF.

  • [8]. Fourier coefficients of certain residual representations of symplectic groups.
    Pacific Journal of Math. Vol. 281 (2016), No. 2, 421--466 (with Dihua Jiang). PDF.

  • [7]. Arthur parameters and Fourier coefficients for automorphic forms on symplectic groups.
    Ann. Inst. Fourier (Grenoble), 66 (2016), no. 2, 477--519.(with Dihua Jiang). PDF.

  • [6]. Fourier coefficients for automorphic forms on quasisplit classical groups.
    Advances in the Theory of Automorphic Forms and Their L-functions.
    Contemporary Mathematics, Volume 664, 2016, 187--208, AMS. (with Dihua Jiang). PDF.

  • [5]. On special unipotent orbits and Fourier coefficients for automorphic forms on symplectic groups.
    J. of Number Theory-Special issue in honor of Steve Rallis, 146 (2015), 343-389 (with Dihua Jiang). PDF.

  • [4]. The generic dual of p-adic split $SO_{2n}$ and local Langlands parameters.
    Israel J. Math. 204 (2014), no. 1, 199-260. (with Chris Jantzen). PDF.

  • [3]. Poles of certain residual Eisenstein series of classical groups.
    Pacific J. of Math. Vol 264 (2013), No 1, 83-123 (with Dihua Jiang and Lei Zhang). PDF.

  • [2]. On Fourier coefficients of automorphic forms of GL(n).
    Int. Math. Res. Notices (2013) 2013 (17), 4029-4071 (with Dihua Jiang). PDF.

  • [1]. Genericity of representations of p-adic $Sp_{2n}$ and local Langlands parameters.
    Canad. J. Math. 63 (2011), 1107-1136. PDF.

    • Submitted and Preprints

  • [1]. On the enhanced Shahidi conjecture and global applications.
    Submitted. (2024) (with Alexander Hazeltine and Chi-Heng Lo). 28 pages.

  • [2]. Erratum to "On the non-vanishing of the central value of the Rankin- Selberg L-functions." JAMS. Volume 17, Number 3, 679-722. By D. Ginzburg, D. Jiang, and S. Rallis".
    Preprint. (with Dihua Jiang). PDF.

  • [3]. The generic dual of p-adic groups and Local Langlands parameters.
    Submitted. (2024) (with Chris Jantzen). 124 pages.

  • [4]. On the intersection of local Arthur packets for classical groups.
    Sumitted. (2024) (with Alexander Hazeltine and Chi-Heng Lo). 125 pages. PDF

  • [5]. Jiang's conjecture on the wave front sets of local Arthur packets.
    Submitted. (2024) (with Freydoon Shahidi).

  • [6]. On anti-tempered local Arthur packets and a lemma of Arthur.
    Submitted. (2024) (with Chi-Heng Lo and Freydoon Shahidi). 34 pages.

  • [7]. On the upper bound of wavefront sets of representations of p-adic groups.
    Submitted. (2024) (with Alexander Hazeltine, Chi-Heng Lo, and Freydoon Shahidi). 43 pages.

  • [8]. Arthur representations and unitary dual for classical groups.
    Submitted. (2025) (with Alexander Hazeltine, Dihua Jiang, Chi-Heng Lo, and Qing Zhang). 101 pages.

  • [9]. On the complementary Arthur representations and unitary dual for p-adic classical groups.
    Submitted. (2025) (with Alexander Hazeltine, Dihua Jiang, Chi-Heng Lo, and Qing Zhang). 41 pages.

  • [10]. On generalizations of Shahidi's conjecture to arbitrary local L-packets of connected reductive groups.
    Preprint. (2025) (with Chi-Heng Lo and Freydoon Shahidi). 29 pages.

  • [11]. On Fourier coefficients of residual representations of classical groups.
    Preprint. (2025) (with Chi-Heng Lo). 25 pages.

  • [12]. On local gamma factors of G2.
    Preprint. (2025) (with Gordan Savin and Qing Zhang). 21 pages.

  • [13]. On corank 4 unitary dual of classical groups.
    Preprint. (2025) (with Chi-Heng Lo and Brian Wen). 180 pages.

  • [14]. The FPP Conjecture for p-adic groups.
    Preprint. (2025) (with Di- hua Jiang, Chi-Heng Lo, Lucas Mason-Brown). 16 pages.

  • [15]. The intersection of local Arthur packets under the theta correspon- dence and applications.
    Preprint. (2025) (with Alexander Hazeltine and Chi-Heng Lo). 59 pages.

  • [16]. Covering Barbasch-Vogan duality and wavefront sets of genuine rep- resentations.
    Preprint. (2025) (with Fan Gao, Chi-Heng Lo, and Freydoon Shahidi). 55 pages.

    • Ph.D. Thesis

  • Fourier coefficients of automorphic forms and Arthur classification.
    2013. University of Minnesota. Thesis-PhD.