I work in the area of mathematical general relativity; I am primarily interested in relativistic initial data (solutions of the Einstein constraints). Projects currently in progress and / or projects which I recently completed fall into one of the following two categories:
Investigation of relativistic point particles, and the extent to which continuous matter models can be realized as a limit of discretized point-particle configurations.
Conformally compact asymptotically hyperbolic initial data satisfying the shear-free condition at the conformal boundary. Note: this condition is necessary in order for the space-time evolution of the data to permit Scri.
My papers on arxiv.
Video of my BIRS talk on continuous matter models arising as an intrinsic flat limit of discrete point particle configurations (July 2016).
Here are some links you might find helpful.