- 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
Tovbis, A., and S. Venakides. Determinant form of modulation equations for the semiclassical focusing Nonlinear Schr\" odinger equation. 2009.
Ptitsyna, N., et al. “Fano resonance of waves in periodic slabs.” Mathematical Methods in Electromagnetic Theory, Mmet, Conference Proceedings, Sept. 2008, pp. 73–78. Scopus, doi:10.1109/MMET.2008.4580900. Full Text
Tovbis, A., et al. “Semiclassical focusing nonlinear schrödinger equation i: Inverse scattering map and its evolution for radiative initial data.” International Mathematics Research Notices, vol. 2007, Dec. 2007. Scopus, doi:10.1093/imrn/rnm094. Full Text
Buckingham, R., and S. Venakides. “Long-time asymptotics of the nonlinear Schrödinger equation shock problem.” Communications on Pure and Applied Mathematics, vol. 60, no. 9, Sept. 2007, pp. 1349–414. Scopus, doi:10.1002/cpa.20179. Full Text
Peralta, X. G., et al. “Resiliency, coordination, and synchronization of dorsal closure during Drosophila morphogenesis.” Biophysical Journal, vol. 92, Apr. 2007, pp. 2583–96.
Peralta, X. G., et al. “Upregulation of forces and morphogenic asymmetries in dorsal closure during Drosophila development.” Biophysical Journal, vol. 92, no. 7, Apr. 2007, pp. 2583–96. Epmc, doi:10.1529/biophysj.106.094110. Full Text
Tovbis, A., et al. “On the long-time limit of semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation: Pure radiation case.” Communications on Pure and Applied Mathematics, vol. 59, no. 10, Jan. 2006, pp. 1379–432. Scopus, doi:10.1002/cpa.20142. Full Text
Shipman, Stephen P., and Stephanos Venakides. “Resonant transmission near nonrobust periodic slab modes.” Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 71, no. 2 Pt 2, Feb. 2005, p. 026611. Epmc, doi:10.1103/physreve.71.026611. Full Text Open Access Copy
Tovbis, A., et al. “On semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation.” Communications on Pure and Applied Mathematics, vol. 57, no. 7, July 2004, pp. 877–985. Scopus, doi:10.1002/cpa.20024. Full Text
Lipton, R. P., et al. “Optimization of Resonances in Photonic Crystal Slabs.” Proceedings of Spie the International Society for Optical Engineering, vol. 5184, Dec. 2003, pp. 168–77.