I am a currently a Ph.D. student at New Jersey Institute of Technology (NJIT) in the Department of Mathematical Sciences. My M.S. degree is in applied mathematics and my B.S. is in applied mathematics and applied physics from NJIT. My research interests include thin films models, fluid dynamics, mathematical modeling, and numerical methods. In particularly, I am interested in utilizing the power of Graphics Processing Units (GPUs) (link) to solve partial differential equations (PDEs) quickly.
My current direction of research is modeling thin films of nematic liquid crystal (link). I will shortly complete work in this area and shift focus to spinodal decomposition (link). Another direction of my research is developing GPU code using Compute Unified Device Architecture (link). To this end, I have developed a single GPU code to solve the generalized nonlinear thin film for three dimension flow, the results of which will soon be published.
I also enjoy performing physical experiments and have been the laboratory assistant in the NJIT Math Capstone Laboratory (link). For the past four years, I have guided senior level math undergraduates in performing experiments, as well a proper data collection. We have focused on the Saffman-Taylor (link) Instability in the Hele-Shaw cell (link) and have experimented with non-Newtonian fluids such as nematic liquid crystals (link) and a polyethylene oxide solution (link).