My research mainly focuses on studying the properties of higher-dimensional rotating black holes.
I am interested in probing the behavior of particles and fields in their vicinity. I have shown that black holes of spherical horizon topology possess a hidden symmetry of the so called Killing-Yano tensor which in its turn implies complete integrability of geodesic motion and separability of scalar and Dirac equations. The result on complete integrability was recently extended to the classical spinning particle case.
I also study black hole thermodynamics. In particular, I have studied P-V criticality of various AdS black hole spacetimes and together with my collaborators conjectured the reverse isoperimetric inequality for the black hole thermodynamic volume. More recently we have discovered that rotating black holes in six and higher dimensions display interesting phenomena known from the `every day thermodynamics' of simple substances. Namely, we have observed a reentrant large/small/large black hole phase transition as well as small/large black hole phase transition ala Van der Waals.