I am an Assistant Professor at the Department of Mathematics and Statistics at James Madison University .
Before that, I was a postdoc at the University of Michigan- Ann Arbor mathematics department .
I finished my Ph.D. at the
Courant Institute of Mathematical Sciences at
New York University in Sept 2010, under the supervision of Professor
Robert V. Kohn.
Mathematical Modeling in Materials Science
I use methods from PDE, dynamical systems, and numerical analysis to study
higher order evolution equations,
gradient flow partial differential equations,
self-similarity in the solutions of nonlinear partial differential equations,
stability analysis for critical points of non-linear flows,
PDE and discrete step models for epitaxial structures.
Inverse Problems and Imaging
Inverse problems in threat detection: I have studied uniqueness related to inverting the advection-diffusion equation.
I also worked on numerical L^1-minimization methods.
Inverse scattering theory: A typical application is the imaging of the subsurface.
My focus is on the inversion of a hybrid-type Bremmer series, to determine the scattering potential of a bounded medium from boundary measurements of a scattered wave.
At my sister's
Big Lebanese Wedding
Gibran.. On Children and On Love
Department of Mathematics and Statistics
305 Roop Hall MSC
James Madison University
Harrisonburg, VA 22807
Office location: 118 Roop Hall
Office Phone: (540) 568-3807