- Differential Geometry
- Pseudo-Riemannian Geometry and General Relativity
- Symplectic Geometry
As an undergraduate, I studied curves and surfaces in three-dimensional Lorentz-Minkowski space, and my Master's dissertation was about marginally trapped submanifolds in Lorentzian space-forms (which can represent event horizons of black holes in some spacetime models).
I am currently interested in pseudo-Riemannian manifolds with parallel Weyl curvature, and in relations between compactness and completeness in indefinite metric signature. My advisor is professor Andrzej Derdzinski.