- 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
Haider, M. A., et al. “Boundary-integral calculations of two-dimensional electromagnetic scattering in infinite photonic crystal slabs: Channel defects and resonances.” Siam Journal on Applied Mathematics, vol. 62, no. 6, July 2002, pp. 2129–48. Scopus, doi:10.1137/S003613990138531X. Full Text
Deift, P., et al. “A riemann-Hilbert approach to asymptotic questions for orthogonal polynomials.” Journal of Computational and Applied Mathematics, vol. 133, no. 1–2, Aug. 2001, pp. 47–63. Scopus, doi:10.1016/S0377-0427(00)00634-8. Full Text
El, G. A., et al. “Soliton turbulence as a thermodynamic limit of stochastic soliton lattices.” Physica D: Nonlinear Phenomena, vol. 152–153, May 2001, pp. 653–64. Scopus, doi:10.1016/S0167-2789(01)00198-1. Full Text
Georgieva, A., et al. “1:2 resonance mediated second harmonic generation in a 1-D nonlinear discrete periodic medium.” Siam Journal on Applied Mathematics, vol. 61, no. 5, Jan. 2001, pp. 1802–15. Scopus, doi:10.1137/S0036139999365341. Full Text
Tovbis, A., and S. Venakides. “The eigenvalue problem for the focusing nonlinear Schrödinger equation: New solvable cases.” Physica D: Nonlinear Phenomena, vol. 146, no. 1–4, Nov. 2000, pp. 150–64. Scopus, doi:10.1016/S0167-2789(00)00126-3. Full Text
Venakides, S., et al. “Boundary integral calculations of two-dimensional electromagnetic scattering by photonic crystal Fabry-Perot structures.” Siam Journal on Applied Mathematics, vol. 60, no. 5, May 2000, pp. 1686–706.
VENAKIDES, S. “Boundary integral calculations of two-dimensional electromagnetic scattering by photonic crystal Fabri-Peror structures.” Siam J. Appl. Math., vol. 60, 2000, pp. 1686–706. Cinii-english, doi:10.1137/S0036139999350779. Full Text
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.