Jeremy Rouse

J. L. Doob Research Assistant Professor

University of Illinois-Urbana, Champaign
Department of Mathematics
301 Altgeld Hall
1409 W. Green Street
Urbana, IL 61801
(217) 333-3504
jarouse at math dot uiuc dot edu

Recent publications

S. Ahlgren, N. Masri, J. Rouse, 'Vanishing of modular forms at infinity,' submitted.
J. Rouse, 'Bounds for the coefficients of powers of the $\Delta$-function,' submitted.
R. Jones, J. Rouse, 'Iterated Endomorphisms of Abelian Algebraic Groups,' submitted.
J. Rouse, 'Atkin-Serre Type Conjectures for Automorphic Representations on GL(2),' Mathematical Research Letters, 14 (2007), no. 2, 189-204.
K. Bringmann, K. Ono, J. Rouse, 'Traces of Singular Moduli on Hilbert Modular Surfaces,' International Mathematics Research Notices, 47 (2005), 2891-2912.
J. Rouse, 'Zagier Duality for the Exponents of Borcherds Products for Hilbert Modular Forms,' Journal of the London Mathematical Society 73 (2006), 339-354.
J. Rouse, 'Vanishing and Non-Vanishing of Traces of Hecke Operators,' Transactions of the American Mathematical Society 358 (2006), 4637-4651.
P. Anderson, A. Benjamin, J. Rouse, 'Combinatorial Proofs of Fermat's, Lucas's, and Wilson's Theorems,' The American Mathematical Monthly 112 (2005) no. 3, 266-268.

Research Interests

Modular and Automorphic Forms.
L-functions.
Elliptic Curves and Abelian Varieties.

Teaching

Instructor, Math 241, Spring 2008.
Instructor, Reading Course on Modular Forms, Spring 2008.
Instructor, Math 213, Fall 2007.

Awards

University Housing's Favorite Instructor Award, Spring 2007.
NDSEG Fellowship, sponsored by the Department of Defense and the Office of Naval Research, 2003-2006.
Honorable mention in the 2002 William Lowell Putnam Mathematical Competition.

Curriculum Vitae

Links

Last updated Tuesday, April 8, 2008.