Baiying Liu
Publications and Preprints
Published (Including Accepted Papers)
[35]. On the weak local Arthur packets conjecture for split classical groups.
IMRN to appear. (2024) (with Chi-Heng Lo).
[34]. Jiang's conjecture and fibers of the Barbasch-Vogan duality.
Rad HAZU to appear. (2023) (with Chi-Heng Lo and Freydoon Shahidi).
PDF.
[33]. On local descent for GSpin even.
Math. Z. to appear. (2023) (with Eyal Kaplan and Jing Feng Lau).
PDF.
[32]. Automorphic descent for symplectic groups: the branching problems and $L$-functions.
Amer. J. Math. to appear. (2022) (with Bin Xu).
PDF.
[31]. On a converse theorem for split SO(2n) over finite fields.
Acta Mathematica Sinica, English Series. to appear. (2022) (with Alexander Hazeltine).
[30]. On wavefront sets of global Arthur packets of classical groups: upper bound.
J. European Math. Society. to appear. (2022) (with Dihua Jiang).
PDF
[29]. Jiang's conjecture on local Arthur packets.
Kudla Proceedings. to appear. (2022) (with Freydoon Shahidi).
[28]. On automorphic descent from GL(7) to G2.
J. European Math. Society. to appear. (2021) (with Joseph Hundley).
PDF.
[27]. On a local converse theorem for G2 over finite fields.
Math. Annalen. to appear. (2021) (with Qing Zhang).
PDF.
[26]. Gamma factors and converse theorems for classical groups over finite fields.
J. Number Theory. to appear. (2021) (with Qing Zhang).
PDF.
[25]. Degenerate principal series for classical and odd GSpin groups in the general case.
Representation Theory (2020) (with Yeansu Kim and Ivan
Matic). PDF.
[24] A refined Poisson summation formula for certain Braverman-Kazhdan spaces.
Sci China Math (2020) (with Jayce Getz).
DOI.
PDF.
[23] On top Fourier coefficients of certain automorphic representations of GLn.
Manuscripta Math. (2020) (with Bin Xu).
DOI.
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. (2019) (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) (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]. Erratum to "On the non-vanishing of the central value of the Rankin-Selberg L-functions".
Submitted. (2019) (with Dihua Jiang).
PDF.
[2]. On the local converse theorem for split SO(2n).
Submitted. (2021) (with Alexander Hazeltine).
[3]. The generic dual of p-adic groups and Local Langlands parameters.
Preprint. (2021) (with Chris Jantzen).
[4]. On the intersection of local Arthur packets for classical groups.
Preprint. 140 pages. (2022) (with Alexander Hazeltine and Chi-Heng Lo).
PDF
[5]. Jiang's conjecture on the wave front sets of local Arthur packets.
Submitted. (2022) (with Freydoon Shahidi).
[6]. Closure ordering conjecture on local L-parameters in local Arthur packets of classical groups.
Submitted. 66 pages. (2022) (with Alexander Hazeltine, Chi-Heng Lo, and Qing Zhang).
Ph.D. Thesis
Fourier coefficients of automorphic forms and Arthur classification.
2013. University of Minnesota.
Thesis-PhD.