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 Pages: | https://math.duke.edu/DOmathhttps://services.math.duke.edu/~hahn/PLUM.html |

**Teaching (Fall 2018):**

- MATH 221.02,
*LINEAR ALGEBRA & APPLICA*Synopsis- Physics 119, TuTh 10:05 AM-11:20 AM

- MATH 221.03,
*LINEAR ALGEBRA & APPLICA*Synopsis- Physics 235, TuTh 08:30 AM-09:45 AM

- MATH 721.02,
*LINEAR ALGEBRA & APPLICA*Synopsis- Physics 119, TuTh 10:05 AM-11:20 AM

- MATH 721.03,
*LINEAR ALGEBRA & APPLICA*Synopsis- Physics 235, TuTh 08:30 AM-09:45 AM

**Education:**Ph.D. University of Illinois at 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 • 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,
*On Classical groups detected by the triple tensor product and the Littlewoodâ€“Richardson semigroup*, Research in Number Theory, vol. 2 no. 1 (December, 2016), pp. 1-12 [doi] - Hahn, H,
*On tensor third $L$-functions of automorphic representations of $GL_n(\mathbb {A}_F)$*, Proceedings of the American Mathematical Society, vol. 144 no. 12 (May, 2016), pp. 5061-5069 [doi] - 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) - Getz, JR; Hahn, H,
*A general simple relative trace formula*, Pacific Journal of Mathematics, vol. 277 no. 1 (2015), pp. 99-118, ISSN 0030-8730 [doi]

- Hahn, H,

**Recent Grant Support***Re:boot Number Theory*, National Security Agency, 2016/02-2018/01.*Re:boot Number Theory*, National Security Agency, H98230-16-1-0005, 2016/02-2018/01.