Baiying Liu

  Address: Department of Mathematics,
University of Utah,
155 S 1400 E Room 233,
Salt Lake City, UT 84112-0090, USA.
Office:  LCB 207
Phone:   801-585-7659
Email:   liu@math.utah.edu


I am a Wylie Assistant Professor Lecturer at the Department of Mathematics, University of Utah since July 1st 2013.

My PhD advisor is Prof. Dihua Jiang. Here is my Curriculum Vitae.

Education

• University of Minnesota, Mathematics, Ph.D., Sep. 2008 - May 31st 2013.
• Harbin Institute of Technology, M.S., Mathematics, Sep. 2006 - July 2008.
• Harbin Institute of Technology, B.S., Mathematics, Sep. 2002 - July 2006.

Research Interests

Automorphic Forms, Representations of p-Adic Groups

Publications, Preprints and Work in Progress

On Fourier Coefficients of Automorphic Forms

• On Fourier Coefficients of Automorphic Forms of GL(n).
43 pages. Int Math Res Notices (2013) 2013 (17): 4029-4071 (with Dihua Jiang). IMRN13. Abstract.
• On Special Unipotent Orbits and Fourier Coefficients for Automorphic Forms on Symplectic Groups.
46 pages. Submitted. (2013) (with Dihua Jiang). arXiv:1309.6238.
• Arthur Parameters and Fourier Coefficients for Automorphic Forms on Symplectic Groups.
41 pages. Submitted. (2013) (with Dihua Jiang). arXiv:1309.6239.
• On Extension of Ginzburg-Jiang-Soudry Correspondence to Certain Automorphic Forms on $Sp_{4mn}(\BA)$ and $\wt{Sp}_{4mn \pm 2n}(\BA)$.
54 pages. Submitted. (2013). arXiv:1309.6240.
• On Fourier coefficients of Certain Residual Representations.
In preparation. (2013) (with Dihua Jiang).
• On Construction of Square Integrable Automorphic Representations

• Poles of Certain Residual Eisenstein Series of Classical Groups.
41 pages. Pacific J. of Math. (2013) (with Dihua Jiang and Lei Zhang). PJM13. Abstract.
• Poles of Certain Residual Eisenstein Series of Classical Groups II.
In preparation. (2013).
• On Generic Representations and Local Langlands Correspondence Conjecture

• Genericity of Representations of p-Adic $Sp_{2n}$ and Local Langlands Parameters.
30 pages. Canad. J. Math. 63 (2011), 1107-1136. CJM11. Abstract.
• The Generic Dual of p-Adic Split $SO_{2n}$ and Local Langlands Parameters.
57 pages. To appear. Israel J. of Math. (2013) (with Chris Jantzen). IJM13. Abstract.
• The Local Langlands Correspondence For Epipelagic Supercuspidal Representations of $GL_n(F)$.
34 pages. Preprint. (2013) (with Moshe Adrian). arXiv:1310.2585.
• Ph.D. Thesis

• Fourier Coefficients of Automorphic Forms and Arthur Classification.
2013. University of Minnesota. Thesis-PhD.
• Talks

• On Extension of Ginzburg-Jiang-Soudry Correspondence to Certain Automorphic Forms on $Sp_{4mn}(\BA)$ and $\wt{Sp}_{4mn \pm 2n}(\BA)$.
Joint Mathematics Meetings Special Session on Recent Progress in the Langlands Program, Baltimore, January 15-16, 2014. JMM2014.
• Arthur Parameters and Fourier Coefficients for Automorphic Forms on Symplectic Groups.
AMS Sectional Meeting Special Session on Automorphic Forms and Representation Theory, St. Louis, October 18-20, 2013. AMS2013.
• Fourier Coefficients of Automorphic Forms and Arthur Classification, part 2.
Representation Theory Seminar. University of Utah. Sep. 27, 2013.

• Fourier Coefficients of Automorphic Forms and Arthur Classification, part 1.
Representation Theory Seminar. University of Utah. Sep. 6, 2013.

• On Special Unipotent Orbits and Fourier Coefficients for Automorphic Forms on Symplectic Groups.
Texas-Oklahoma Representations and Automorphic forms IV. University of North Texas. Mar. 2013. TORA IV.
• Fourier Coefficients of Automorphic Forms and Arthur Classification.
Group, Lie and Number Theory seminar. University of Michigan. Monday, January 28, 2013. UM.

• On Generic Representations and Local Langlands Correspondence Conjecture.
Beijing International Center for Mathematical Research. Jan. 2nd, 2013.

• Fourier Coefficients of Automorphic Forms and Arthur Classification.
Morningside Center of Mathematics, Chinese Academy of Sciences. Dec. 31st, 2012.

• Fourier Coefficients and Arthur Parameters (IV).
Lie Theory Seminar. Organized by Dihua Jiang. University of Minnesota. Nov. 30th, 2012. UMN.

• Fourier Coefficients and Arthur Parameters (III).
Lie Theory Seminar. Organized by Dihua Jiang. University of Minnesota. Oct. 19, 2012. UMN.

• On Fourier Coefficients of Automorphic Forms of GL(n).
Midwest Number Theory Conference for Graduate Students and Recent PhDs IX. University of Illinois at Urbana-Champaign, USA, Oct. 13, 2012. MNCTG9.

• On Fourier Coefficients of Automorphic Forms of GL(n).
Texas-Oklahoma Representations and Automorphic forms II, Oklahoma State University, April 6-8, 2012. TORA2.

• On Fourier Coefficients of Automorphic Forms of GL(n).
Lie Theory Seminar. Organized by Dihua Jiang. University of Minnesota. March 30, 2012. UMN.

• Topics in automorphic forms.
Lie Theory Seminar. Organized by Dihua Jiang. University of Minnesota. Feb. 24, 2012. UMN.

• Genericity of Representations of p-Adic $Sp_{2n}$ and Local Langlands Parameters.
Midwest Number Theory Conference for Graduate Students VI, Madison, USA, Nov. 2009. MNCTG6.

Recent Workshops and Conferences

• Joint Mathematics Meetings Special Session on Recent Progress in the Langlands Program,
Baltimore, January 15-16, 2014. JMM2014.
• AMS Sectional Meeting Special Session on Automorphic Forms and Representation Theory,
St. Louis, October 18-20, 2013. AMS2013.
• Workshop on Unitary Representations of Real Reductive Groups. July 1-5, 2013.
Conference on Representations of Reductive Groups. July 8-12, 2013. Salt Lake City, Utah.

• Representation Theory, Automorphic Forms, and Complex Geometry.
A conference in honor of the 70th birthday of Wilfried Schmid. Harvard University, May 20-23, 2013.

• p-adic Modular Forms, L-functions, and Galois representations.
University of California, LosAngeles. May 10-12, 2013.

• Atkin Memorial Lecture and Workshop: Cohen-Lenstra Heuristics.
University of Illinois at Chicago. May 3-5, 2013.

• Texas-Oklahoma Representations and Automorphic forms IV.
University of North Texas. Mar. 2013. TORA IV.
• 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.).

• Midwest Number Theory Conference for Graduate Students and Recent PhDs IX.
October 13-14, 2012. University of Illinois at Urbana-Champaign. (Urbana-Champaign, IL.).