Research

My primary research interest is Mathematical General Relativity and in particular long 'time' behavior of Einstein's equations. Mathematical relativity is fascinating primarily because it is at the intersection of analysis of partial differential equations, differential geometry, and physics. This is particularly an exciting time for general relativity due to the recent detection of gravitational waves and black holes. Of course, there are a large number of mathematically interesting problems that one might think of formulating. I am interested in problems that are physically motivating but also mathematically attractive.