I received my Ph.D. degree in Mathematics from the University of Oklahoma under the guidance of Professor John P. Albert. My dissertation study is on the stability of solitary waves for Schrodinger-KdV systems. I am currently working as a full-time Assistant Professor of Mathematics at Trocaire College, Buffalo, New York.
My research interests are in Applied Analysis and Partial Differential Equations. Specifically, I am interested in well-posedness and stability theory of nonlinear dispersive PDEs. In my current work, I have applied concentration compactness and convexity techniques to study the existence and stability of solitary waves for coupled systems of nonlinear dispersive systems which arise in plasma physics and fluid mechanics.