The influence of intense magnetic fields on the properties of strongly interacting matter has become an issue of increasing interest due to the fact that in some relevant physical situations like high energy non-central heavy ion collisions and compact stellar objects very strong magnetic fields may be produced. In this seminar I present some results of a study of the phase diagram of cold quark matter subject to intense magnetic fields in the framework of a generalized Nambu-Jona-Lasinio (NJL) model that includes flavor mixing effects and vector interactions. Charge neutrality and beta equilibrium effects, which are specially relevant to the study of compact stars, are also taken into account.