Department of Mathematics
Office: 296 Korman
Phone: (215) 895-2682
Professional Information Position: Professor and Department Head of the Department of Mathematics at
partial differential equations and numerical analysis, including
homogenization theory, numerical methods for problems with rough
coefficients, and inverse problems.
(with M. Vogelius) First order corrections to the eigenvalues of a periodic composite medium. The case of Neumann boundary conditions. previously accepted by Indiana Journal.
(with D. Ambrose, J. Gopalakrishnan and S. Rome ) Scattering of electromagnetic waves by thin high contrast dielectrics II: asymptotics of the electric field and a method for inversion. to appear, Commun. Math. Sci.
(with K. Kilgore and J. Schotland) Convergence of the Born and inverse Born series for electromagnetic scattering. to appear, Applicable Analysis.
(with T. Meklachi and J. Schotland) Resonances of small volume high contrast linear and nonlinear scatterers: asymptotic methods
(with J. Sifuentes) A preconditioning method for thin high contrast scattering structures.
(with F. Cakoni and I. Harris) The Imaging of Small Perturbations in an Anisotropic Media. submitted.