My research mainly focuses on studying the properties of higher-dimensional rotating black holes. Namely, 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 am also interested in black hole thermodynamics and theories of nonlinear electrodynamics, such as the Born-Infeld theory. 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.