Heekyoung Hahn, Associate Research Professor

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

Contact Info:

Office Location:	220 Physics, Durham, NC 27708
Email Address:
Web Page:	https://sites.duke.edu/heekyounghahn/

Teaching (Fall 2024):

• MATH 221.04, LINEAR ALGEBRA Synopsis

  Physics 119, TuTh 01:25 PM-02:40 PM

• MATH 721.04, LINEAR ALGEBRA & APPLICA Synopsis

  Physics 119, TuTh 01:25 PM-02:40 PM

• MATH 721.01, LINEAR ALGEBRA & APPLICA Synopsis

  Physics 047, TuTh 11:45 AM-01:00 PM

• MATH 721.02, LINEAR ALGEBRA & APPLICA Synopsis

  Reuben-Coo 127, TuTh 01:25 PM-02:40 PM

Education:

Ph.D.

University of Illinois, Urbana-Champaign

2004

Specialties:

Number Theory

Research Interests: Automorphic L-functions, Relative trace formula, Algebraic cycles and Representations of the classical groups

Areas of Interest:

Number Theory, Arithmetic geometry, Spectral Theory, Representation Theory

Keywords:

Analysis • Number theory • Representation theory • Representations of groups

Undergraduate Research Supervised

• Brigid Larkin (May, 2014 - July, 2014)
  Undergraduate summer research at Duke University 
• Mathilde Gerbelli-Gauthier (May 01, 2012 - July 31, 2012)
  Thesis: On rings of Hilbert modular forms
  Undergraduate summer research at McGill University supported by NSERC Discovery grant. 
• Catherine Hilgers (May 01, 2011 - July 31, 2011)
  Thesis: Certain infinite products with a view toward modular forms
  Undergraduate summer research at McGill University supported by NSERC Discovery grant. 
• Kelly Stange (January 20, 2010 - May 1, 2010)
  Thesis: Hermite polynomials and Sylvester type determinants
  Undergraduate honor's thesis at University at Albany (SUNY). 

Recent Publications   (More Publications)

1. Hahn, H, Poles of triple product L-functions involving monomial representations, INTERNATIONAL JOURNAL OF NUMBER THEORY, vol. 17 no. 02 (2021), pp. 479-486, World Scientific Publishing [doi]  [abs]
2. Hahn, H, On classical groups detected by the triple tensor products and the Littlewood-Richardson semigroup, Reserch in Number Theory, vol. 2 no. 1 (June, 2016), pp. 1-12, Springer Nature [doi]  [abs]
3. Hahn, H, On tensor third L-functions of automorphic representations of GLn(AF), Proceedings of the American Mathematical Society, vol. 144 no. 12 (January, 2016), pp. 5061-5069, American Mathematical Society (AMS) [doi]  [abs]
4. H. Hahn, On tensor thrid L-functions of automorphic representations of GL_n(A_F), Proc. Amer. Math. Soc. (Accepted, 2016)
5. H. Hahn, On classical groups detected by the triple tensor product and the Littlewood-Richardson semigroup (Submitted, 2016)

Recent Grant Support

• RTG: Linked via L-functions: training versatile researchers across number theory, National Science Foundation, 2023/10-2028/09.