General relativity–a theory postulated by Einstein in definitive form in November 1915–is the mathematical basis on which our contemporary understanding of gravitational physics rests.

One of the most celebrated predictions of general relativity is the existence of so-called black holes, a term originally coined by John Wheeler. These already appear in the most basic non-trivial explicit solutions of the Einstein vacuum equations, the system of non-linear partial differential equations governing the theory. Many of my interests involve questions surrounding black holes (their formation, stability and internal structure) and the general issue of singularities of the theory. 

More information about these questions can be found following the links below:


My research over the years has been partially funded by the NSF, the ERC, the Clay Mathematics Institute and the EPSRC, whose support I gratefully acknowledge.