Jeremy Rouse
Associate Professor
Department of Mathematics
Wake Forest University
P.O. Box 7388
WinstonSalem, NC 27109
(336) 7584159
rouseja 'at' wfu dot edu


Along with Kate
Thompson at DePaul University, this summer I am running an NSFsponsored Number Theory REU.
Recent publications
For online access to published versions of the articles below,
see this
page.
 J. DeBenedetto, J. Rouse, 'Quadratic forms representing all integers coprime to 3', accepted for publication in Ramanujan Journal.
 G. Dresden, K. Hess, S. Islam, J. Rouse, A. Schmitt, E. Stamm, T. Warren, P. Yue, 'When is a^{n} + 1 the sum of two squares?', submitted.
 B. Goddard, J. Rouse, 'Sum of two repdigits a square,' Integers 17 (2017), Paper No. A24.
 J. Patsolic, J. Rouse, 'Trinomials defining quintic number fields,' International Journal of Number Theory 13 (2017), no. 7, 18811894.
 A. Block Gorman, T. Genao, H. Hwang, N. Kantor, S. Parsons, J. Rouse,
'The density of primes dividing a particular nonlinear recurrence sequence,' Acta Arithmetica 175 (2016) no. 1, 71100.
 B. Davis, R. Kotsonis, J. Rouse, 'The density of primes dividing a term in the Somos5 sequence,' accepted for publication in Proceedings of the American Mathematical Society.
 J. Rouse, Y. Yang, 'Three consecutive almost squares,' International Journal of Number Theory 12 (2016), no. 4, 969978.
 J. Rouse, D. ZureickBrown, 'Elliptic curves over Q and 2adic images of Galois,' Research in Number Theory, 1 (2015).
 J. Rouse, J. J. Webb, 'Spaces of modular forms spanned by etaquotients,' Advances in Mathematics, 272 (2015), 200224.
 J. Rouse, J. Thorner, 'The explicit SatoTate conjecture and densities pertaining to Lehmertype questions,' Transactions of the American Mathematical Society 369 (2017) no. 5, 35753604.
 P. Cubre, J. Rouse, 'Divisibility properties of the Fibonacci entry point,' Proceedings of the American Mathematical Society, 142 (2014), no. 11, 37713785.
 M. Jones, J. Rouse, 'Solutions of the cubic Fermat equation in quadratic fields,' International Journal of Number Theory, 9 (2013), no. 6, 15791591.
 J. Rouse, F. Thorne, 'On the existence of large degree Galois representations for fields of small discriminant,' Pacific Journal of Mathematics, 271 (2014), no. 1, 243256.
 J. Rouse, 'Quadratic forms representing all odd positive integers,' American Journal of Mathematics, 136 (2014), no. 6, 16931745.
 J. Rouse, 'Explicit bounds for sums of squares,' Mathematical Research Letters, 19 (2012), no. 2, 359376.
 P. Jenkins, J. Rouse, 'Bounds for
coefficients of cusp forms and extremal lattices,' Bulletin of the London Mathematical Society, 43 (2011), no. 5, 927938.
 B. Reznick, J. Rouse, 'On the sums of two cubes,' International Journal of Number Theory, 7 (2011), no. 7, 18631882.
Research Interests
 Modular and Automorphic Forms.
 Lfunctions.
 Elliptic Curves and Abelian Varieties.
 Quadratic Forms.
Teaching
 Instructor, Mth 345/645, Spring 2017.
 Instructor, Mth 121, Spring 2017.
 Instructor, Mth 345/645, Spring 2016.
 Instructor, Mth 112 sections C and D, Spring 2016.
 Instructor, Mth 113 section C, Fall 2015.
 Instructor, Mth 165, Fall 2015.
 Instructor, Mth 346/646, Fall 2015.
 Instructor, Mth 121 sections A and B, Spring 2015.
 Instructor, Mth 113 section B, Fall 2014.
 Instructor, Mth 243, Fall 2014.
 Instructor, Mth 165, Fall 2014.
 Instructor, Mth 345/645, Spring 2014.
 Instructor, Mth 111 section E, Spring 2014.
 Instructor, Mth 111 section J, Fall 2013.
 Instructor, Mth 117 section A, Fall 2013.
 Instructor, Mth 165, Fall 2013.
 Instructor, Mth 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.
 CoInstructor (with Jason Parsley), Mth 165 section B, Fall 2010.
 Instructor, Mth 112 sections B and C, Fall 2010.
Awards
 National Security Agency Grant for the 2016 Automorphic Forms Workshop,
$14,400.
 National Science Foundation Grant, 20152018,
DMS1461189, REU Site: Wake/Davidson Experience In Number Theory Research (PI, with coPI Katherine Thompson), $258,354.
 2014 TLC Teaching Innovation Award.
 CRADLE IV Fellow, 20132015.
 A.J. Sterge Faculty Fellow, 20132016.
 List of Teachers Ranked as Excellent By Their Students,
Spring 2010, Math 453.
 National Science Foundation Grant, 20092012,
DMS0901090,
The distribution of Fourier coefficients of modular forms
and arithmetic applications (PI), $83,651.
 Project NExT
Fellow,
20082009.
 University Housing's Favorite Instructor Award, Spring 2007.
 NDSEG Fellowship, sponsored by the Department of Defense and
the
Office of Naval Research, 20032006.
 Honorable mention in the 2002 William Lowell Putnam
Mathematical
Competition.
Links
Last modified: Sunday, 23Jul2017 10:53:35 EDT