Heekyoung Hahn Assistant Professor Department of Mathematics & Statistics University at Albany 1400 Washington Avenue Albany, NY 12222 Office: ES132H Phone: 518-442-4597 Fax no: 518-442-4731 Email: hhahn at math dot albany dot edu

General Information

Assistant Professor, 2007-present, Department of Mathematics and Statistics, University at Albany.
Visiting Assistant Professor, 2004-2007, Department of Mathematics, University of Rochester.
Ph.D. in Mathematics, 2004, University of Illinois at Urbana-Champaign, Advisor: Bruce Berndt.

Seminar

Algebra and Number Theory Seminar

Teaching

• Fall 2008: Linear Algebra (AMAT 220), Elementary Abstact Algebra (AMAT 327)
• Spring 2008: Modular forms and their applications (AMAT 820)
• Fall 2007: Linear Algebra and its applications (AMAT 220)

Research Interests

My primary interests are q-series, theta functions, partitions, modular forms, Eisenstein series, L-functions, the Riemann zeta function, and Dirichlet polynomials, but I am also quite fond of elliptic curves, coding theory and the philosophy of mathematics.

Publications

• A simple twisted relative trace formula, submitted.

• The discrete number variance for the Riemann zeros (with S. Gonek), in preparation.

• Mean value theorems for long Dirichlet polynomials summed over zeros of L-functions (with J. Bian, S. Gonek, M. Milinovich, and N. Ng), preprint.

• Eisenstein series associated with Gamma_0(2), pdf , Ramanujan J., to appear.

• Convolution sums of some functions on divisors, pdf , Rocky Mt. J. Math., 37 (2007), No. 5, 315-344.

• On zeros of Eisenstein series for genus zero Fuchsian groups, pdf , Proceedings of the AMS, 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), pdf , Memoirs of the AMS, Vol 188, No. 880, 2007.

• Integrable systems and modular forms of level $2$ (with M. Ablowitz and S. Chakravarty) pdf , J. Phys. A: Math. Gen., 39 (2006), 15341-15353.

• Septic analogues of the Rogers-Ramanujan functions, Acta Arith. 110 (2003), No. 4, 381-399.

• New Ramanujan-Kolberg type partition identities (with H. H. Chan, R. P. Lewis, and S. L. Tan), Math. Res. Lett., 9 (2002), No. 5-6, 801-811.

Talks

• Conference on Partitions, q-series and modular forms, University of Florida, Gainesville, Mar 12-16, 2008.

• Center for Women in Mathematics Seminar, Smith College, March 4, 2008.

• Algebra and Number Theory Seminar, University at Albany, Oct 3, 2007.

• Joint Mathematics Meetings, New Orleans, LA Jan 5-8, 2007.

• Number Theory Seminar, Johns Hopkins University, Nov 8, 2006.

• Advances in Number Theory and Random Matrix Theory, Rochester, NY, June 5-8, 2006.

• AMS Special Session, 'Arithmetic geometry and modular forms', Durham, New Hampshire, Apr 22-23, 2006.

• Five College Number Theory Seminar, Amherst College, Apr 18, 2006.

• Additive Number Theory, Gainesville, FL, Nov 17-20, 2004.

• AMS Special Session, 'Special functions, orthogonal polynomials, and their applications', Evanston, IL, Oct 23-24, 2004.