- J. Rouse, D. Zureick-Brown, 'Elliptic curves over Q and 2-adic images of Galois',
*Research in Number Theory*,**1**(2015). Available online from Springer, no subscription necessary. - J. Rouse, J. J. Webb, 'Spaces of modular forms
spanned by eta-quotients,'
*Advances in Mathematics*,**272**(2015), 200-224. Available from sciencedirect.com, subscription necessary. - P. Cubre, J. Rouse, 'Divisibility properties of the Fibonacci entry point',
*Proceedings of the American Mathematical Society*,**142**(2014), no. 11, 3771-3785. Available online from ams.org, subscription necessary. - M. Jones, J. Rouse, 'Solutions of the cubic Fermat equation in quadratic
fields,'
*International Journal of Number Theory*,**9**(2013), no. 6, 1579-1591.

Available online from worldscientific.com, subscription necessary. - 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, 243-256. Available online from msp.org, subscription necessary. - J. Rouse, 'Quadratic forms representing all odd positive integers,'
*American Journal of Mathematics***136**(2014), no. 6, 1693-1745. Available online from muse.jhu.edu, subscription necessary. - J. Rouse, 'Explicit bounds for sums of squares,'
*Mathematical Research Letters*,**19**(2012), no. 2, 359-376.

Available online from intlpress.com, subscription necessary. - 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.

Available online from oxfordjournals.org, no subscription necessary. - B. Reznick, J. Rouse, 'On the sums of two cubes,'
*International Journal of Number Theory*,**7**(2011), no. 7, 1863-1882.

Available online from World Scientific, subscription necessary. - 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.

Available online from ams.org, subscription necessary. - B. Kim, J. Rouse, 'Explicit bounds for p-core partitions',
*Transactions of the American Mathematical Society*366 (2014), no. 2, 875-902. Available online from ams.org, subscription necessary. - S. Ahlgren, J. Rouse,
'Critical
*L*-values of level p newforms (mod p),'*International Mathematics Research Notices*(2010), no. 9, 1575-1606.

Available online from oxfordjournals.org, no subscription necessary. - S. Ahlgren, D. Choi, J. Rouse, 'Congruences for level four cusp forms,'
*Mathematical Research Letters*,**16**(2009), no. 4, 683-701.

Available online from mrlonline.org, no subscription necessary. - S. Ahlgren, N. Masri, J. Rouse, 'Vanishing
of modular forms at infinity,'
*Proceedings of the American Mathematical Society*,**137**(2009), 1205-1214.

Available online from ams.org, subscription necessary. - J. Rouse, 'Bounds
for the
coefficients of powers of the Δ-function,'
*Bulletin of the London Mathematical Society*,**40**(2008), 1081-1090.

Available online from oxfordjournals.org, no subscription necessary. - R. Jones, J. Rouse, 'Galois
Theory of
Iterated Endomorphisms,'
*Proceedings of the London Mathematical Society*,**100**, no. 3, (2010), 763-794.

Available online from oxfordjournals.org, no subscription necessary. - J. Rouse, 'Atkin-Serre Type Conjectures for Automorphic Representations on
*GL(2)*,'*Mathematical Research Letters*,**14**(2007), no. 2, 189-204.

Available online from intlpress.com, no subscription necessary. - K. Bringmann, K. Ono, J. Rouse, 'Traces of
Singular Moduli on Hilbert Modular Surfaces,'
*International Mathematics Research Notices*,**47**(2005), 2891-2912.

Available online from oxfordjournals.org, subscription necessary. - J. Rouse, 'Zagier
Duality for the Exponents
of Borcherds Products for Hilbert Modular Forms,'
*Journal of the London Mathematical Society*,**73**(2006), 339-354.

Available online from oxfordjournals.org, subscription necessary. - J. Rouse,
'Vanishing
and
Non-Vanishing of Traces of Hecke Operators,'
*Transactions of the American Mathematical Society***358**(2006), 4637-4651.

Available online from ams.org, subscription necessary. - J. Rouse,
'Hypergeometric
Functions and Elliptic
Curves,'
*Ramanujan Journal***12**(2006), 197-205.

Available online from springerlink.com, subscription necessary. - 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, pg. 266-268.

Available online from jstor.org, subscription necessary. - A. Benjamin, J. Rouse,
'When Does
F divide_{m}^{L}F ? A Combinatorial Solution,'_{n}*Proceedings of the Eleventh International Conference on Fibonacci Numbers and Their Applications*.*Congressus Numerantium*,**194**(2009), 53-58.

No online version available as far as I am aware. - A. Benjamin, J. Rouse, J. Quinn,
'Fibinomial Identities,'
*Applications of Fibonacci Numbers, Volume 9*, Kluwer Academic Publishers, (2004), pp. 19-24.

No online version available as far as I am aware. - A. Benjamin, J. Rouse,
'Recounting Binomial Fibonacci Identities,'
*Applications of Fibonacci Numbers, Volume 9*, Kluwer Academic Publishers, (2004), pp. 25-28.

No online version available as far as I am aware.