Assistant Research Professor
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 2018/2019:
An Introduction to Automorphic Representations with a view toward Trace Formulae
I have been organizing the following events:
Duke Opportunities in Math (DOmath)
Public Lectures Unveiling Math (PLUM)
Summer Workshop in Math (SWiM)
Ph.D. in Mathematics, 2004, University of Illinois at Urbana-Champaign, Advisor: Bruce C. Berndt
Algebraic Geometry Seminar
Number Theory Seminar
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), submitted (arXiv:1706.03166).
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)
Littlewood-Richardson semigroup and Satake inversion for symmetric powers for GL_2
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.
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