I have a background in physics, materials science, and mathematics. As a professor and researcher in the Mathematics Department at the University of Tennessee, I work on a number of interdisciplinary problems, especially those involving multi-phase phenomena and moving boundaries. These days I am particularly interested in nonlinear integro-partial differential equations, both theory and numerical approximation. I also design and analyze numerical methods and fast solvers for a variety of problems.  Have a look around, and let me know what you think.

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Research Snapshots:

(left) Coarsening of a facetted thin film surface, (right top) adaptive, multi-level mesh, (center bottom) spinodal decomposition of a binary alloy (right bottom) necrotic tumor (cancer) growth.