Assistant Research Professor
120 Science Dr
Durham, NC 27708, USA
Be self-reliant. You don't need others' permission to pursue your goals.
( No Apologies Campaign by Baldwin Scholars at Duke )
Together with Jayce R. Getz, I am writing a book for the Springer Graduate Texts in Mathematics (GTM series), expected to be published in 2019:
An Introduction to Automorphic Representations with a view toward Trace Formulae
Ph.D. in Mathematics, 2004, University of Illinois at Urbana-Champaign, Advisor: Bruce C. Berndt
My primary interests are Automorphic L-functions, Relative Trace formula, Algebraic cycles on Shimura varieties and Representations of the classical groups,
but I am also quite fond of q-series, theta functions and partitions.
， From partition identities to a combinatorial approach to explicit Satake inversion (with J. Huh, E. Lim, J. Sohn), Ann. Comb., DOI 10.1007/s00026-018-0391-3
， On classical groups detected by the triple tensor products and the Littlewood-Richardson semigroup, Research in Number Theory, Vol 2, No 1 (2016) 1--12.
， On tensor third L-functions of automorphic representations of GL_n(A_F), Proc. Amer. Math. Soc., Vol 144, No 12 (2016) 5061--5069.
， A general simple relative trace formula (with J. R. Getz), Pacific J. Math., Vol 277, no 1 (2015), 99-118.
， Algebraic cycles and Tate classes on Hilbert modular varieties (with J. R. Getz), Int. J. Number Theory, Vol 10, No 1 (2014), 161-176.
Distribution of square-free values of
sequences associated with elliptic curves (with S. Akhtari,
C. David, and L. Thompson), Contemp. Math.,
Vol 606 (2013), 171-188.
， A simple twisted relative trace formula, Int. Math. Res. Not. (IMRN), (2009), 3957-3978.
， Eisenstein series associated with Gamma_0(2), Ramanujan J., Vol 15, No 2 (2008), 235-257.
， Convolution sums of some functions on divisors, Rocky Mt. J. Math., Vol 37, No 5 (2007), 315-344.
， On zeros of Eisenstein series for genus zero Fuchsian groups, Proc. Amer. Math. Soc., 135 (2007), 2391-2401.
Ramanujan's forty identities for the
Rogers-Ramanujan functions (with B. C. Berndt, G. Choi, Y. Choi, B. Yeap, A. J. Yee, H. Yesilyurt,
and J. Yi),
Memoirs Amer. Math. Soc., Vol 188, No. 880, 2007.
， Integrable systems and modular forms of level 2 (with M. Ablowitz and S. Chakravarty), J. Phys. A: Math. Gen., Vol 39 (2006), 15341-15353.
， Septic analogues of the Rogers-Ramanujan functions, Acta Arith. Vol 110, No 4 (2003), 381-399.
， New Ramanujan-Kolberg type partition identities (with H. H. Chan, R. P. Lewis, and S. L. Tan), Math. Res. Lett., Vol 9, No 5-6 (2002), 801-811.
， Detection on certain family of finite subgroups of SL_3(C)
， Relative endoscopy on special cases
， Asymptotics of products of central values of twisted L-functions
， Relative Weyl law and spectral sparsity of distinguished representations (with J. R. Getz and M. Lipnowski), preprint.
， The discrete number variance for the Riemann zeros (with S. Gonek and D. Goldston).
， Mean value theorems for long Dirichlet polynomials summed over zeros of L-functions. (with J. Bian, S. Gonek, M. Milinovich, and N. Ng), preprint.
， Number Theory Seminar, University of Rochester, October 10, 2018
， Recent Developments in Automorphic Forms, AMS sectional meeting, University of Hawaii Manoa, March 22-24, 2019
， Porquerolles Conference, France, September 2-8, 2018
， Philadelphia Area Number Theory Seminar, Bryn Mawr College, April 18, 2018
， Algebra and Combinatorics Seminar, NC State University, September 25, 2017
， Conference on Automorphic Forms and Related Topics, Vietnam Institute for Advanced Study in Mathematics (VIASM), Ha Long, August 21-24, 2017
， AMS special session on Representation Theory, Automorphic Forms and Related Topics, University of St. Thomas, October 27-30, 2016
， Number Theory Seminar, Korea Institute for Advanced Study (KIAS), Seoul, Korea, August 11, 2016
， Math Department Colloquium, Sookmyung Women's University, Seoul, Korea. August 10, 2016
， Number Theory Seminar, Yonsei University, Seoul, Korea, August 9, 2016
， Langlands Program Seminar, CUNY Graduate Center, April 7, 2016
， The 30th Automorphic Forms Workshop, Wake Forest University, March 7-10, 2016
， Grad/Faculty Seminar, Duke Univesity, Nov 6, 2015
， Illinois Number Theory Conference, University of Illinois at Urbana-Champaign, August 13-14, 2015
， Number Theory Seminar, University of Illinois at Urbana-Champaign, April 16, 2015
， Math Department Colloquium, Emory University, January 26, 2015
， AMS Special Session on Automorphic Forms and Related Topics, University of North Carolina at Greensboro, November 8-9, 2014
， ELEFANT, Hausdorff Center for Mathematics, Germany, July 14-18, 2014
， SERMON 2013 (SouthEastern Regional Meeting On Numbers), High Point University, April 13-14, 2013
， Algebra and Combinatorics Seminar, North Carolina State University, November 26, 2012
， Number Theory Seminar, University of North Carolina at Chapel Hill, November 13, 2012
， QVNTS, Concordia University, March 1, 2012
， Representation and Number Theory Seminar, University of Maryland at College Park, January 27, 2012