Currently an Assistant Professor at the Department of Mathematics, Purdue University. I'm interested in the general area of applied and computational mathematics, where mathematical tools and numerical methods are developed to address problems in science and engineering.
My current research topics mainly focus on numerical methods for PDEs, stochastic and statistical analysis, and uncertainty quantification. I'm working on model reduction strategies, statistical control methods, statistical stability analysis, turbulent diffusion, and data assimilation for complex turbulent dynamical systems, including their applications in fluid dynamics, atmosphere-ocean science, and plasma physics. For more details, see my research projects and publication list.
Research Opportunities: I have research problems available for graduate and undergraduate students who are interested in data-driven modeling and numerical method. Opportunities include funding for a student who would like to study mathematical problems at the interface of climate science, statistical physics, and geophysical fluid dynamics. Interested Purdue student should send me an e-mail so we can set up an appointment to chat about your background and interests.