I'm currently a Ph.D. student of Professor Robert Bartnik and Dr Todd Oliynyk at Monash University, Australia. Primarily my research interests are centred in the field of mathematical general relativity, particularly mass in general relativity and the initial data formulation. Mathematical relativity relies heavily on the techniques of geometric analysis, differential geometry, PDEs and calculus of variations. As such, I am also interested in many problems in these areas.
I have recently commenced writing up my thesis and intend on submitting around March 2014. The main results are proving linearisation stability of Einstein-Yang-Mills equations on an asymptotically flat manifold and proving a condition for stationarity based on the first law of black hole thermodynamics.