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

For online access to published versions of the articles below, see this page.

• B. Kim, J. Rouse, 'Explicit bounds for the number of p-core partitions,' submitted.
• S. Ahlgren, J. Rouse, 'Critical L-values of level p newforms (mod p),' accepted for publication in International Mathematics Research Notices.
• S. Ahlgren, D. Choi, J. Rouse, 'Congruences for level four cusp forms,' Mathematical Research Letters, 16 (2009), no. 4, 683-701.
• N. Boston, M. Darnall, J. Getz, G. Mantilla, H. Nover, E. Ozman, R. Rhoades, J. Rouse, M. Ruiz, M.-H. Sengun, L. Solomou, S. Turkelli, M. Woodbury, 'The Proof of Fermat's Last Theorem,' submitted.
• S. Ahlgren, N. Masri, J. Rouse, 'Vanishing of modular forms at infinity,' Proceedings of the American Mathematical Society, 137 (2009), 1205-1214.
• J. Rouse, 'Bounds for the coefficients of powers of the $\Delta$-function,' Bulletin of the London Mathematical Society, 40 (2008), 1081-1090.
• R. Jones, J. Rouse, 'Galois Theory of Iterated Endomorphisms,' accepted for publication in Proceedings of the London Mathematical Society.
• 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.
• J. Rouse, 'Hypergeometric Functions and Elliptic Curves,' Ramanujan Journal 12 (2006), 197-205.
• 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 231, Spring 2010.
• Instructor, Math 453, Spring 2010.
• Instructor, Math 241, Fall 2009.
• Instructor, Math 181, Spring 2009.
• Instructor, Math 595, Spring 2009.
• Instructor, Math 453, Fall 2008.
• Instructor, Math 241, Spring 2008.
• Instructor, Reading Course on Modular Forms, Spring 2008.
• Instructor, Math 213, Fall 2007.

Awards

• National Science Foundation Grant, 2009-2012, DMS-0901090, The distribution of Fourier coefficients of modular forms and arithmetic applications (PI), $83,651.
• Project NExT Fellow, 2008-2009.
• 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

• Putnam sessions, Fall 2009.
• UIUC Number Theory Seminar, Fall 2009.
• UIUC Number Theory Seminar, Spring 2008.
• UIUC Number Theory Seminar, Fall 2007.
• The University of Illinois, Urbana-Champaign Math Department
• The University of Wisconsin-Madison Math Department
• Harvey Mudd College Math Department
• Budapest Semesters in Mathematics Program
• Interesting Math Problems I've Seen

Last updated Monday, November 30, 2009.