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

My Quote

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

Events at Duke

I have been organizing the following events:
PLUM
General Relativity
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

  • On classical groups detected by the triple tensor products and the Littlewood-Richardson semigroup, Research in Number Theory, to appear.

  • On tensor thrid L-functions of automorphic representations of GL_n(A_F), Proc. Amer. Math. Soc., to appear.

  • 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

  • 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

  • AMS special session on Representation Theory, Automorphic Forms and Related Topics, University of St. Thomas, October 27-30, 2016

Recent Talks

  • 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