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): 

1. Time-fractional or high order PDEs/Stochastic PDEs (SPDEs) with memory; and 

2. Kuramoto-Sivashinsky and related equations.

This includes my recent–and ongoing–formulation, solution and analysis of the sharp dimension-dependent regularity behavior of: 

• 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).

Education:

• Ph.D. - Cornell University - Center for Applied Mathematics 

• M.S. - North Carolina State University - Operations Research 

• B.S. - North Carolina State University - Electrical Engineering