My research can be roughly divided into the following three areas:
(1) Self-force for Extreme Mass-Ratio Inspirals. The motion of a 'small', compact astrophysical object around a supermassive black hole deviates from geodesic motion due to the action of its own field - the self-force. I develop methods for the calculation of the self-force and the gravitational waveforms emitted during such inspiral. The main method I develop is the calculation of the self-force via the Green function of the wave equation for black hole perturbations.
(2) Quantum Field Theory in Curved Space-time. In the absence of a full theory of Quantum Gravity, one may gain a revealing insight into such a theory in the limit when the scales of the physical system are much larger than the Planck scales by quantizing the "matter" fields and treating the gravitational field classically. I investigate various quantum states of physical interest of the field in different curved space-times.
(3) Higher-dimensional Space-times. String theory suggests that our 4- dimensional world (the "brane") is embedded in a higher-dimensional spacetime (the "bulk") where the size of the extra dimensions may be as large as 1mm, leading to the thrilling prospect of creation of miniature, "brane" black holes in the Large Hadron Collider at CERN. Such black holes would emit Hawking radiation and would evaporate in only fractions of a second. I model the evaporation of rotating "brane" black holes.