- Professor of Mathematics
Tuesday and Thursday 3:00-4:00pm
Fields of work: Pure and applied mathematics, physics and biology. Specific areas: Differential equations, integrable systems, acoustic and electromagnetic scattering (especially transmission anomalies and resonances), photonic crystals, exciton polaritons and recently micromagnetics.
Invited as one of the three Abel lecturers in the award of the Abel Prize to Peter Lax, The Norwegian Academy of Science and Letters, Oslo, Norway, May 2005
Beaky, M. M., et al. “Two-dimensional photonic crystal fabry-perot resonators with lossy dielectrics.” Ieee Transactions on Microwave Theory and Techniques, vol. 47, no. 11, Dec. 1999, pp. 2085–91. Scopus, doi:10.1109/22.798003. Full Text
Filip, A. M., and S. Venakides. “Existence and modulation of traveling waves in particle chains.” Communications on Pure and Applied Mathematics, vol. 52, no. 6, June 1999, pp. 693–735.
Deift, P., et al. “Strong asymptotics of orthogonal polynomials with respect to exponential weights.” Communications on Pure and Applied Mathematics, vol. 52, no. 12, Jan. 1999, pp. 1491–552. Scopus, doi:10.1002/(SICI)1097-0312(199912)52:12<1491::AID-CPA2>3.0.CO;2-#. Full Text
Deift, P., et al. “Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory.” Communications on Pure and Applied Mathematics, vol. 52, no. 11, Jan. 1999, pp. 1335–425. Scopus, doi:10.1002/(SICI)1097-0312(199911)52:11<1335::AID-CPA1>3.0.CO;2-1. Full Text
Georgieva, A., et al. “Wave propagation and resonance in a one-dimensional nonlinear discrete periodic medium.” Siam Journal on Applied Mathematics, vol. 60, no. 1, Jan. 1999, pp. 272–94. Scopus, doi:10.1137/S0036139998340315. Full Text
Cheng, P. J., et al. “Long-time asymptotics for the pure radiation solution of the sine-Gordon equation.” Communications in Partial Differential Equations, vol. 24, no. 7–8, Jan. 1999, pp. 1195–262. Scopus, doi:10.1080/03605309908821464. Full Text
McDonald, M. A., and S. Venakides. “Renormalization of the τ-functions for integrable systems: A model problem.” Communications on Pure and Applied Mathematics, vol. 51, no. 8, Jan. 1998, pp. 937–66. Scopus, doi:10.1002/(SICI)1097-0312(199808)51:8<937::AID-CPA3>3.0.CO;2-6. Full Text
Deift, P., et al. “An extension of the steepest descent method for Riemann-Hilbert problems: the small dispersion limit of the Korteweg-de Vries (KdV) equation..” Proceedings of the National Academy of Sciences of the United States of America, vol. 95, no. 2, Jan. 1998, pp. 450–54. Epmc, doi:10.1073/pnas.95.2.450. Full Text
Deift, P., et al. “New Results in Small Dispersion KdV by an Extension of the Steepest Descent Method for Riemann-Hilbert Problems.” International Mathematics Research Notices, no. 6, Dec. 1997, pp. 284–99.
Deift, P., et al. “Asymptotics for Polynomials Orthogonal with Respect to Varying Exponential Weights.” International Mathematics Research Notices, no. 16, Dec. 1997.