Michal's research activities are mainly focused on X-ray emission from accretion discs either near a supermassive black holes in active galactic nuclei or black holes in binary systems in our Galaxy. This consists of fitting data observed by X-ray satellites and developing models of emission that can describe real systems, e.g.models for relativistically broadened iron line and models for X-ray continuum emission (reflection by Compton scattering, multicolourblack-body, lamp-post models, etc.). In the study of these systems he is also interested in the overall polarization that would be measured by the observer. In the domain of the dynamical properties of black-hole accretion disc systems, Michal's research concentrates on X-ray nad UV/optical reverberation and flare-spot models.