My interests include many aspects of applied mathematics and in particular the modelling, analysis and computation of different physical or dynamical problems. I am currently engaged in research involving fluid flows with free interfaces, breakup of jets, and complex flow patterns in fluids (chaotic dynamics). These efforts combine a careful analysis and computation of nonlinear partial differential equations of the evolution type. Formation of finite-time singularities and their analysis and computation is also of interest in the description of many severe physical phenomena, and this is a subject of current research for models of high-speed aerodynamic flows as well as interfacial problems.