My primary fields of interest are several complex variables and dynamical systems, beginning in my dissertation (University of Michigan, 1997) with a problem of local dynamics near non-hyperbolic fixed points, and continuing with problems of global dynamics in complex projective space, random iteration, attractors, and, most recently, infinite-dimensional complex dynamics--specifically, unitary dynamics on separable Hilbert spaces. A general theme of my later work has been to investigate those phenomena in complex dynamical systems that are stable under perturbations of the map being iterated.
Around the 'hood
Modeling the latest in avalanche beacons, w/ Heidi
The future of the human race
Washington and Lee University
Lexington, VA 25540