Heekyoung Hahn

Assistant Research Professor

Department of Mathematics

Duke University

120 Science Dr

Durham, NC 27708, USA

Office: Physics 220

Phone: (919) 660-2850

Fax: (919) 660-2821

Email: hahn at math dot duke dot edu


Interview with Girls' Angle

My recent interview with Girls' Angle has been appeared in the issue June/July 2018, Vol.11, No.5.

My Quote

Be self-reliant. You don't need others' permission to pursue your goals.
( No Apologies Campaign by Baldwin Scholars at Duke )

Springer GTM Series

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

Events at Duke

I have been organizing the following events:
Duke Opportunities in Math (DOmath)
Public Lectures Unveiling Math (PLUM)
Summer Workshop in Math (SWiM)

General Information

Ph.D. in Mathematics, 2004, University of Illinois at Urbana-Champaign, Advisor: Bruce C. Berndt

Seminars

Algebraic Geometry Seminar
Number Theory Seminar

Research Interests

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.

Publications

        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.

In Preparation

        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.

Upcoming Trips

        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

Recent Talks

        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