Heekyoung Hahn

Heekyoung Hahn
  • Assistant Research Professor of Mathematics
External address: 220 Physics, Durham, NC 27708
Phone: (919) 660-2850

Research Areas and Keywords

Algebra & Combinatorics

Littlewood-Richardson semigroup, representations for the classical groups, partitions and q-series


Laplacian eigenvalues and relative Weyl law

Geometry: Differential & Algebraic

Flag varieties and periods

Number Theory

relative trace formula, automorphic L-functions, modular forms and elliptic curves, partitions

Number Theory in the large: Automorphic represenations, Trace formula, Laplacian eigenfunctions and Littlewood-Richardson coefficients

Education & Training
  • Ph.D., University of Illinois, Urbana-Champaign 2004

Selected Grants

Re:boot Number Theory awarded by (Co-Principal Investigator). 2016 to 2018

Fellowships, Supported Research, & Other Grants

Faculty Travel Support awarded by College of Art & Science, Duke University (2018)

Member of the IAS awarded by Institute for Advanced Study (2018)

Faculty Travel Support awarded by College of Art & Science, Duke University (2017)

Visiting Scholar awarded by Korea Institute for Advanced Study (KIAS) (2016)

Discovery Grant awarded by NSERC (386551-2010-RGPIN) (2010 to 2012)

Postdoctoral Support awarded by NSF FRG (DMS 0244660), University of Rochester (2005 to 2007)

University Fellowship awarded by University of Illinois at Urbana-Champaign (2004)

Predoctoral Fellowship awarded by University of Illinois at Urbana-Champaign (2003)

Hahn, H. “On Classical groups detected by the triple tensor product and the Littlewood–Richardson semigroup.” Research in Number Theory, vol. 2, no. 1, Dec. 2016. Scopus, doi:10.1007/s40993-016-0049-3. Full Text

Hahn, H. “On tensor third L-functions of automorphic representations of GLn(AF).” Proceedings of the American Mathematical Society, vol. 144, no. 12, Jan. 2016, pp. 5061–69. Scopus, doi:10.1090/proc/13134. Full Text

Getz, J. R., and H. Hahn. “A general simple relative trace formula.” Pacific Journal of Mathematics, vol. 277, no. 1, Jan. 2015, pp. 99–118. Scopus, doi:10.2140/pjm.2015.277.99. Full Text

Hahn, H., et al. “Distribution of square-free values of sequences associated with elliptic curves.” Contemporary Mathematics, vol. 606, American Mathematical Society, Oct. 2013, pp. 171–88.

Getz, J. R., and H. Hahn. “ALGEBRAIC CYCLES AND TATE CLASSES ON HILBERT MODULAR VARIETIES.” International Journal of Number Theory, no. 2, 2013, pp. 1–16.

Hahn, H. “A simple twisted relative trace formula.” International Mathematics Research Notices, vol. 2009, no. 21, Dec. 2009, pp. 3957–78. Scopus, doi:10.1093/imrn/rnp075. Full Text

Hahn, H. “Eisenstein series associated with Γ0(2).” Ramanujan Journal, vol. 15, no. 2, Feb. 2008, pp. 235–57. Scopus, doi:10.1007/s11139-007-9075-z. Full Text

Hahn, H. “Convolution sums of some functions on divisors.” Rocky Mountain Journal of Mathematics, vol. 37, no. 5, Dec. 2007, pp. 1593–622. Scopus, doi:10.1216/rmjm/1194275937. Full Text

Hahn, H. “On zeros of Eisenstein series for genus zero Fuchsian groups.” Proceedings of the American Mathematical Society, vol. 135, no. 8, Aug. 2007, pp. 2391–401. Scopus, doi:10.1090/S0002-9939-07-08763-1. Full Text

Ablowitz, M. J., et al. “Integrable systems and modular forms of level 2.” Journal of Physics A: Mathematical and General, vol. 39, no. 50, Dec. 2006, pp. 15341–53. Scopus, doi:10.1088/0305-4470/39/50/003. Full Text



Girls Angle Bulletin

"Math is not something to be afraid of. Rather, it is something that you should enjoy playing with." Professor Heekyoung Hahn was interviewed in Girls' Angle Bulletin's most recent issue.  The... read more »

Hollywood, Mathematics, and Digital Communications

"A glamorous Hollywood star, a renegade composer, and the mathematical development of spread spectrum communications". abstract: During World War II, Hedy Lamarr, a striking Hollywood actress; together with George Antheil, a radical composer;... read more »

Duke Math Hosts SWIM: A Summer program for female rising senior high school students

SWIM (Summer Workshop In Mathematics) is a 9-day workshop for female rising senior high school students interested in mathematics. All students currently in their junior year of high school are eligible to apply. Participants in the workshop will... read more »