Compact objects (white dwarfs, neutron stars and black holes) are

associated with some of the most exotic phenomena and environments in

the universe. They have been observed in all electromagnetic wave

bands, from radio to gamma rays, and are likely to be detected in

gravitational waves in the next few years. Their strong gravities, high

densities and magnetic fields provide a unique avenue for exploring

physics under extreme conditions. In this talk, I will highlight

recent progress and discuss future prospects in the astrophysics of

compact objects.