Baiying Liu

  Address: School of Mathematics,
           University of Minnesota,
           206 Church St. S.E.,
           Minneapolis, MN 55455, USA.
  Office:  520 Vincent Hall
  Phone:   612-624-2329
  Email:   liuxx969@math.umn.edu

I'm a fourth year graduate student at the Department of Mathematics, University of Minnesota. My advisor is Prof. Dihua Jiang.

Here is my CV.

Education

University of Minnesota, Mathematics, Ph.D., Sep. 2008 - Now.

Harbin Institute of Technology, M.A., Mathematics, Sep. 2006 - July 2008.

Harbin Institute of Technology, B.A., Mathematics, Sep. 2002 - July 2006.

Research Interests

Automorphic Forms, Representations of p-Adic Groups

Publications and Preprints

Fourier coefficients and Arthur parameters. (2012) (with Dihua Jiang).

Poles of Certain Residual Eisenstein Series of Classical Groups. Submitted (2012) (with Dihua Jiang and Lei Zhang).

On Fourier Coefficients of Automorphic Forms of $GL(n)$. Accepted by IMRN (2012) (with Dihua Jiang). IMRN12.

Abstract. For a cuspidal automorphic form $\phi$ of $GL_n(\mathbb{A})$, where $\mathbb{A}$ is the ring of adeles of a number field $k$, the well-known Fourier expansion of $\phi$ in terms of the Whittaker-Fourier coefficient of $\phi$, due to J. Shalika and I. Piatetski-Shapiro, independently, was fundamental to the theory of automorphic forms. In this note, we extend this Fourier expansion to the whole discrete spectrum of the space of all square-integrable automorphic forms of $GL_n(\mathbb{A})$ and determine the Fourier coefficients of irreducible, non-cuspidal, square-integrable automorphic representations of $GL_n(\mathbb{A})$ in terms of unipotent orbits.

Genericity of Representations of p-Adic $Sp_{2n}$ and Local Langlands Parameters.

Canad. J. Math. 63(2011), 1107-1136. CJM11

Workshops and Conferences

Texas-Oklahoma Representations and Automorphic forms II.
April 6-8, 2012. Oklahoma State University. (Stillwater, OK.).

Automorphic Forms and Related Geometry: assessing the legacy of I.I. Piatetski-Shapiro.
April 23-27, 2012. Yale University. (New Haven, CT.).

Towards a Local Proof of the Local Langlands Correspondence.
May 12-13, 2012. University of Chicago and University of Illinois at Chicago. (Chicago, IL.).

FRG Workshop and Conference on Characters, Liftings, and Types.
Workshop: June 19-22, 2012. Conference: June 22-24, 2012. American University. (Washington, DC.).

Automorphic Forms, Representations, and Combinatorics: A Conference in Honor of Daniel Bump.
August 13-16, 2012. Stanford University. (Palo Alto, CA.).

Math Home Page