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

Office Location: | 220 Physics, Durham, NC 27708 |

Office Phone: | (919) 660-2850 |

Email Address: | |

Web Page: | https://sites.duke.edu/heekyounghahn/ |

**Teaching (Fall 2021):**

- MATH 221.03,
*LINEAR ALGEBRA & APPLICA*Synopsis- Physics 259, WF 12:00 PM-01:15 PM

- MATH 721.03,
*LINEAR ALGEBRA & APPLICA*Synopsis- Physics 259, WF 12:00 PM-01:15 PM

- MATH 221.01,
*LINEAR ALGEBRA & APPLICA*Synopsis- Physics 259, WF 10:15 AM-11:30 AM

- MATH 221.02,
*LINEAR ALGEBRA & APPLICA*Synopsis- Physics 259, WF 12:00 PM-01:15 PM

- MATH 721.01,
*LINEAR ALGEBRA & APPLICA*Synopsis- Physics 259, WF 10:15 AM-11:30 AM

- MATH 721.02,
*LINEAR ALGEBRA & APPLICA*Synopsis- Physics 259, WF 12:00 PM-01:15 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).

- Brigid Larkin (May, 2014 - July, 2014)

**Recent Publications**- Hahn, H,
*Poles of triple product L-functions involving monomial representations*, International Journal of Number Theory, vol. 17 no. 02 (March, 2021), pp. 479-486, World Scientific Publishing [doi] [abs] - 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] - Hahn, H,
*On tensor third L-functions of automorphic representations of GL*, Proceedings of the American Mathematical Society, vol. 144 no. 12 (January, 2016), pp. 5061-5069, American Mathematical Society (AMS) [doi] [abs]n (AF ) - H. Hahn,
*On classical groups detected by the triple tensor product and the Littlewood-Richardson semigroup*(Submitted, 2016) - H. Hahn,
*On tensor thrid L-functions of automorphic representations of GL_n(A_F)*, Proc. Amer. Math. Soc. (Accepted, 2016)

- Hahn, H,