My research interests lie broadly in the fields of fluid mechanics, applied mathematics, scientific computing, and biophysics. I develop high-fidelity computational tools to study the complex dynamics of multi-physics systems which are often complemented by analytic solutions, scaling analysis and reduced-order modeling. Currently, my research centers on developing theoretical and computational models to study the complex dynamics of active fluid surfaces. Biological surfaces are usually driven by chemical reactions at microscopic scales. In addition, they often possess an in-plane order (such as nematic or polar) that allows for large scale hydrodynamic interactions and self-organized behavior. The interplay between the mechanics of the surface, activity due to chemical reactions, hydrodynamic interactions of the in-plane order and the fluid flow leads to complex dynamics which is essential in various biological processes such as cell division and tissue morphogenesis.

I have also worked on problems involving the physics of non-Brownian suspensions and the rheology of complex fluids.