Recent Developments in the Nuclear Many-Body Problem

We review recent developments in a few selected areas of the many-body theory of nuclei and neutron stars. The chosen topics are (i) femtometer toroidal structures in nuclei; (ii) modern models of nuclear forces; (iii) advances in the application of quantum Monte Carlo methods to nuclei; (iv) relativistic boost corrections to nuclear forces; (v) dense nucleon matter; (vi) kaon condensation in neutron star matter; and (vii) the nature of the transition from nucleon to quark matter at high density.