Research topics:

1. Maximal surfaces and spacelike hypersurfaces of constant mean curvature.
2. Calabi-Bernstein type problems.
3. Geodesics and conformal vector fields on Lorentzian manifolds.
4. Bochner's technique in Lorentzian Geometry.
5. Conjugate points on Lorentzian manifolds with symmetries.
6. Magnetic fields and their trajectories.
7. Indefinite Kaehler manifolds and their submanifolds.