My research includes:

Partial Differential Equations: Regularity, Global existence, Cross diffusion systems...

Harmonic Analysis: Reverse inequalities, calculus on metric spaces (homogeneous type spaces)...

Dynamical Systems: Dynamics of solutions to system of PDEs, Global attractors...

Mathematical Biology: Coexistence and dynamics problems in biological/ecological models (unstirred chemostat, Chemotaxis...).

Publication: A list of my papers is here.

Software: Simulation in Java.

Awards:

• NSF grant: Higher dimension cross diffusion systems. NSF Analysis program. Grant number DMS0707229 from 06/2007-05/2010. Amount: $107528.
• NSF grant: Long-time Dynamics and Regularity Properties of Strongly Coupled Parabolic Systems. NSF Applied Mathematics program. Grant number DMS0305219 from 05/2003-09/2005. Amount: $74177.
• Faculty development leave: Fall 2006 (with full pay).