I am currently employed as a numerical relativist at the Department of Mathematics and Statistics in the University of Otago. Previously I was enrolled as a PhD candidate in the Department of Quantum Science at the Australian National University.
I usually have several projects on the go at once. My main focus is on:
- Numerical implementation of the asymptotic conformal Einstein equations and the study of the behaviour of the solutions,
- Studying how the Abstract Boundary classification changes under changes to the class of boundary parameter property satisfying curves,
- Investigating functional definitions of Lorentzian distance.
The following projects are waiting for some free time:
- Production of a counter example to a conjecture about the structure of the set of limit points of a curve with compact closure,
- Investigation of the functorial properties of the Abstract Boundary construction for any topological spacetime,
- Understanding the relationship between the Penrose-Hawking singularity theorems, the Krolak and Tipler strong curvature conditions and weak cosmic censorship.