Department of Mathematics Purdue University 150 N. University St West Lafayette, IN, 47907, USA
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1 Baiying Liu Department of Mathematics Purdue University 150 N. University St West Lafayette, IN, 47907, USA Phone: (+1) Fax: (+1) Research Interests Automorphic Forms, L-functions, Langlands Program, Representation Theory, Number Theory Education Ph.D. Mathematics, University of Minnesota 2013 Adviser: Dihua Jiang Thesis: Fourier coefficients of automorphic forms and Arthur classification M.S. Mathematics, Harbin Institute of Technology 2008 B.S. Mathematics, Harbin Institute of Technology 2006 Employment Assistant professor, Purdue University from 2016 Fall Member, Institute for Advanced Study Wylie Assistant Professor Lecturer, University of Utah Awards and Honors NSF Grants DMS ( ). Start-up Fund, Purdue University, IAS membership for academic year NSF Grants DMS ( ), later changed to DMS ( ). AMS-Simons Travel Grant Award, Postdoc Research Fund, University of Utah, Bachelor Thesis Award-Silver Medal for the New World Mathematics Awards, Dec Publications (Published and Accepted) 1. Genericity of representations of p-adic Sp 2n and local Langlands parameters. Canad. J. Math. 63 (2011), no. 5, On Fourier coefficients of automorphic forms of GL(n). Int. Math. Res. Not. 2013, no. 17, (with Dihua Jiang) 3. Poles of certain residual Eisenstein series of classical groups. Pacific J. Math. 264 (2013), no. 1, (with Dihua Jiang and Lei Zhang) 4. The generic dual of p-adic split SO 2n and local Langlands parameters. Israel J. Math. 204 (2014), no. 1, (with Chris Jantzen)
2 5. On special unipotent orbits and Fourier coefficients for automorphic forms on symplectic groups. J. Number Theory 146 (2015), (with Dihua Jiang) 6. Fourier coefficients for automorphic forms on quasisplit classical groups. Contemporary Mathematics, Volume 664, 2016, , AMS. (with Dihua Jiang). 7. Arthur parameters and Fourier coefficients for automorphic forms on symplectic groups. Ann. Inst. Fourier (Grenoble), 66 (2016), no. 2, (with Dihua Jiang). 8. Fourier coefficients of certain residual representations of symplectic groups. Pacific Journal of Math. Vol. 281 (2016), No. 2, (with Dihua Jiang). 9. The Jacquet-Langlands correspondence via twisted descent. Int. Math. Res. Not., 2016, no. 18, (with Dihua Jiang, Bin Xu and Lei Zhang). 10. Some results on simple supercuspidal representations of GL n (F ). J. Number Theory 160 (2016), (with Moshe Adrian). 11. Models transition under theta correspondence. J. of Algebra 448 (2016), On the Jacquet Conjecture on the local converse problem for p- adic GL(n). Representation Theory 20 (2016), (with Moshe Adrian, Shaun Stevens and Peng Xu). 13. On the Local Converse Theorem for p-adic GL n. To appear in Amer. J. Math. (with Hervé Jacquet). arxiv: Raising nilpotent orbits in wave-front sets. Representation Theory 20 (2016), (with Dihua Jiang and Gordan Savin). 15. A remark on a converse theorem of Cogdell and Piatetski-Shapiro. To appear at J. Reine Angew. Math. (Crelle s Journal) (with Hervé Jacquet). arxiv: On cuspidality of global Arthur packets for symplectic groups. To appear in Geometric aspects of the trace formula, Simons Symposia. Springer Verlag. (with Dihua Jiang). arxiv: On the sharpness of the bound for the local converse theorem of p-adic GL prime. To appear in Proceedings of Amer. Math. Soc. (2017) (with Moshe Adrian, Shaun Stevens and Kam-Fai Tam). (Submitted) 1. On the local converse theorem and the descent theorem in families. Submitted. (2017) (with Gilbert Moss). 32 pages. 2. Fourier coefficients attached to small autormophic representations of SL n (A) and string theory. Submitted. (2017) (with Olof Ahlén,
3 Henrik P. A. Gustafsson, Axel Kleinschmidt and Daniel Persson). arxiv: pages. 3. A refined Poisson summation formula for certain Braverman-Kazhdan spaces. Submitted. (2017) (with Jayce Getz). arxiv: pages. 4. On Fourier coefficients of automorphic forms and structure of Arthur packets. Submitted. arxiv: pages. Journal Referee Service Invited Talks Canadian Journal of Mathematics International Mathematics Research Notices Journal of Number Theory Journal of the European Mathematical Society Morningside Center of Mathematics Proceeding Contemporary Mathematics Compositio Mathematica American Journal of Mathematics Forum Mathematicum Pacific Journal of Mathematics Transactions of the American Mathematical Society Organizer, Representation Theory Seminar, University of Utah, Spring AMS sectional meeting. State University of New York at Buffalo. September 16-17, Number Theory Seminar. Ohio State University. April 24, Algebra Seminar. University of Buffalo. April 3, Number Theory Seminar. University of Chicago. February 14, Number Theory Seminar. Northwestern University. February 13, AMS sectional meeting. University of St. Thomas (Minneapolis campus). October 28-30, Number Theory Seminar. Duke University. October 13, Automorphic Forms and Representation Theory Seminar. Purdue University. September 22, Program: Automorphic forms, mock modular forms and string theory. The Simons Center for Geometry and Physics. September 16, BC-MIT Number Theory Seminar. MIT. September 13, 2016.
4 - 45 minutes talk. The 7th International Congress of Chinese Mathematicians, Beijing, August 6-11, (was not able to attend due to family reasons) - Algebra Seminar. Brown University. April 18, AMS sectional meeting. University of Utah. April 9 10, Number Theory Seminar, Rutgers University in New Brunswick, Feb 9, Colloquium, University of Pittsburgh, January 21, Special colloquium, Purdue University, December 11, Workshop on Automorphic Kernel Functions, American Institute of Mathematics, Nov 30 Dec 4, Junior Number Theory Days, Rutgers University in Newark, Nov 20 21, AMS meeting, Rutgers University in New Brunswick, Nov 14 15, Algebra Seminar and Departmental Colloquium, Kansas State University, Oct 31 Nov 4, AMS meeting, Loyola University, Chicago, October 3 4, IAS short talks by postdoctoral members, IAS, Sep 28, Lie Groups Quantum Mathematics Seminar, Rutgers University in New Brunswick, Sep 25, IAS/PUWorking Algebraic Number Theory Seminar, Princeton University, Sep 24, Joint Algebra and Number Theory/Harmonic Analysis Seminar, Louisiana State University, Sep 15, Algebra seminar, University at Buffalo, May 4, Number Theory Seminar, Ohio State University, Apr 13, Special colloquium, Purdue University, Mar 10, UNC-Duke Number Theory Seminar, Duke University, Feb 11, Representation Theory Seminar, University of Utah, Jan 16, Colloquium Seminar, University of East Anglia, Nov 17, Number Theory Seminar, University of California, Berkeley, Oct 8, Seminar, Mathematical Sciences Center, Tsinghua University, Jul 28, Workshop on Representation Theory, National University of Singapore, Jul 21 23, 2014.
5 - Workshop on Automorphic Forms and Representations, Math Institute of The Chinese Academy of Sciences, Beijing, Jul 1 11, Lie Theory Seminar, University of Minnesota, Mar 14, Joint Mathematics Meetings Special Session on Recent Progress in the Langlands Program, Baltimore, Jan 15 16, AMS Sectional Meeting Special Session on Automorphic Forms and Representation Theory, St. Louis, Oct 18 20, Representation Theory Seminar, University of Utah, Sep 27, Representation Theory Seminar, University of Utah, Sep 6, Texas-Oklahoma Representations and Automorphic forms IV, University of North Texas, Mar Group, Lie and Number Theory seminar, University of Michigan, Jan 28, Beijing International Center for Mathematical Research, Jan 2, Morningside Center of Mathematics, Chinese Academy of Sciences, Dec 31, Lie Theory Seminar, University of Minnesota, Nov 30, Lie Theory Seminar, University of Minnesota, Oct 19, Midwest Number Theory Conference for Graduate Students and Recent PhDs IX, University of Illinois at Urbana-Champaign, Oct 13, Texas-Oklahoma Representations and Automorphic forms II, Oklahoma State University, Apr 6-8, Lie Theory Seminar, University of Minnesota, Mar 30, Lie Theory Seminar, University of Minnesota, Feb 24, Midwest Number Theory Conference for Graduate Students VI, University of Wisconsin-Madison, Nov 2009.
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