Narrow Results

We discuss observable aspects of neutron stars and supernova that are influenced by the properties of matter at extreme density. In particular, we explore the possible role phase transitions to quark matter phases at supra nuclear density. The competition between the strange quark mass and the pairing energy in quark matter, and show that it leads to a rich phase structure at densities of relevance to neutron stars. The equation of state and transport properties of quark matter is shown to be strongly influenced by pairing correlations at the Fermi surface.