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The main topics we deal with are: the theory and modeling of radio and x-ray emission from pulsars; neutron stars, strange stars and black holes; plasma astrophysics; relativity theory; modeling gravitational waves; celestial mechanics and planetary exploration; extragalactic astronomy and cosmology; modeling of interstellar extinction and mathematical physics. In addition, employes of the institute together with students are involved in several projects related to the observations in radio, optical and high energy (X-rays, gamma) wavelengths.