I am a Post-doctoral Assistant Professor 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.
University of Michigan- Department of Mathematics
2074 East Hall
530 Church Street
Ann Arbor, MI 48109
Office Phone: (734) 764-6427