• P.K. Agarwal, R.-P. Berretty, and A.D. Collins.** A near-quadratic algorithm for fence design. Submitted, Discrete and Computational Geometry.
• J.W. Cain,** E.G. Tolkacheva, D.G. Schaeffer, and D.J. Gauthier. Rate-dependent propagation of cardiac action potentials in a one-dimensional fiber. Submitted July 2004 to Physical Review E.
• P.A. Gremaud, J.V. Matthews,*** D.G. Schaeffer. Secondary circulation in granular flow through nonaxisymmetric hoppers. Accepted, SIAM J. Appl. Math.
• P.A. Gremaud and J.V. Matthews***. On the computational of steady Hopper flows II: van Mises materials in various geometries. Accepted, J. Comput. Phys.
• R.P. Haskett,** T.P. Witelski, and J. Sur. Localized Marangoni forcing in driven thin films. Submitted, Physica D.
• J.V. Matthews,*** D.G. Schaeffer. A well-posed free boundary value problem for a hyperbolic equation with Dirichlet boundary conditions. Submitted, SIAM J. of Math. Anal.
• W.G. Mitchener*** and M.A. Nowak. Chaos and language. Proceedings of the Royal Society: Biological Sciences, 271(1540): 701-704, 2004.
• B. Rider.*** Fluctuations in the thermodynamic limit of focusing cubic Schroedinger. Accepted, Journal of Statistical Physics.
• B. Rider.*** A limit theorem at the edge of a non-Hermitian random matrix ensemble. Accepted, Journal of Physics A:~Mathematics and General.
• B. Rider.*** Deviations from the Circular Law. In preparation.
• B. Rider.*** Order statistics and Ginibre's ensembles. J. Stat. Phys. 114(3/4) 1139-1149, 2004.
• D.G. Schaeffer, J.W. Cain,** D. J. Gauthier, S. S. Kalb, W. Krassowska, R.A. Oliver, and E.G. Tolkacheva. An ionically based mapping model with memory for cardiac restitution, Los Alamos Archive, q-bio.QM/0407016. Posted July 2004.
• L.B. Smolka,*** A. Belmonte, D.M. Henderson, T.P. Witelski. Exact solution for the extensional flow of a viscoelastic filament. European Journal of Applied Mathematics. Accepted for publication with revisions, May, 2004.
• E.G. Tolkacheva, M.M. Romeo,*** M. Guerraty,* and D.J. Gauthier. Condition for alternans and its control in a two-dimensional mapping model of paced cardiac dynamics. Physical Review E 69: 031904-(1-8), 2004.
• E.G. Tolkacheva, M.M. Romeo,*** and D.J. Gauthier. Control of cardiac alternans in a mapping model with memory. Physica D, 194: 385-391, 2004.
• C. Topaz,*** and A. L. Bertozzi. Swarming dynamics and pattern formation in a model for biological group motion. In press, SIAM Journal on Applied Mathematics.
• T.M. Washington,*** J.J. Blum, and M.C. Reed. A mathematical model for LH secretion by gonadotropes in response to long-term exposure to GnRH. In review.

*PRUV fellow; **VIGRE-supported graduate student; ***VIGRE Postdoc.