Welcome to my page. I'm an associate professor in the Mathematical Sciences department at Kent State University.
I work mostly at the interface of PDEs, probability, and analysis. One focus of my research is the wellposedness (existense, uniqueness, and regularity) of 2 classes of PDEs/Stochastic PDEs (SPDEs) which I label as the two sides of the Brownian-time coin (after my work on the Brownian-time processes and its utility to view these two classes in a unified framework):- Time-fractional or high order PDEs/Stochastic PDEs (SPDEs) with memory; and
- Kuramoto-Sivashinsky and related equations.
- the Kuramoto-Sivashinsky/Kuramoto-Sivashinsky Burgers PDE/SPDE in spatial dimensions d≥1 via my Brownina-time framework and its generalizations;
- the time fractional Burgers PDE/SPDE in spatial dimensions d≥1 via my Brownina-time framework and its generalizations;
- other related PDEs and SPDEs (including fractional, high order with memory, and Kuramoto-Sivashinsky type equations).
- Ph.D. - Cornell University - Center for Applied Mathematics
- M.S. - North Carolina State University - Operations Research
- B.S. - North Carolina State University - Electrical Engineering