Jeremy Rouse

Assistant Professor

Department of Mathematics
Wake Forest University
P.O. Box 7388
Winston-Salem, NC 27109
(336) 758-4159
rouseja 'at' wfu dot edu

Recent publications

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

P. Cubre, J. Rouse, 'Divisibility properties of the Fibonacci entry point,' submitted.
M. Jones, J. Rouse, 'Solutions of the cubic Fermat equation in quadratic fields,' accepted for publication in International Journal of Number Theory.
J. Rouse, F. Thorne, 'On the existence of large degree Galois representations for fields of small discriminant,' submitted.
J. Rouse, 'Quadratic forms representing all odd positive integers,' submitted.
J. Rouse, 'Explicit bounds for sums of squares,' Mathematical Research Letters, 19 (2012), no. 2, 359-376.
P. Jenkins, J. Rouse, 'Bounds for coefficients of cusp forms and extremal lattices,' Bulletin of the London Mathematical Society, 43 (2011), no. 5, 927-938.
B. Reznick, J. Rouse, 'On the sums of two cubes,' International Journal of Number Theory, 7 (2011), no. 7, 1863-1882.
S. Ahlgren, J. Rouse, 'Congruences for newforms and the index of the Hecke algebra,' Proceedings of the American Mathematical Society 139 (2011), no. 4, 1247-1261.
B. Kim, J. Rouse, 'Explicit bounds for the number of p-core partitions,' accepted for publication in Transactions of the American Mathematical Society.
S. Ahlgren, J. Rouse, 'Critical L-values of level p newforms (mod p),' International Mathematics Research Notices (2010), no. 9, 1575-1606.
S. Ahlgren, D. Choi, J. Rouse, 'Congruences for level four cusp forms,' Mathematical Research Letters, 16 (2009), no. 4, 683-701.
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 Δ-function,' Bulletin of the London Mathematical Society, 40 (2008), 1081-1090.
R. Jones, J. Rouse, 'Galois Theory of Iterated Endomorphisms,' Proceedings of the London Mathematical Society, 100, no. 3, (2010), 763-794.

Research Interests

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

Teaching

Instructor, Math 345/645, Spring 2013.
Instructor, Mth 113 section A, Spring 2013.
Instructor, Mth 745, Spring 2012.
Instructor, Mth 722, Spring 2012.
Instructor, Mth 113 section B, Spring 2012.
Instructor, Mth 165, Fall 2011.
Instructor, Mth 721, Fall 2011.
Instructor, Mth 346/646, Fall 2011.
Instructor, Mth 113 section A, Spring 2011.
Instructor, Mth 345/645, Spring 2011.
Co-Instructor (with Jason Parsley), Mth 165 section B, Fall 2010.
Instructor, Mth 112 sections B and C, Fall 2010.

Awards

CRADLE IV Fellow, 2013-2015.
A.J. Sterge Faculty Fellow, 2013-2015.
List of Teachers Ranked as Excellent By Their Students, Spring 2010, Math 453.
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.