Sanjay Reddy (U. Washington) - Recent progress in dense matter theory and its implications for neutron stars I will review recent progress in dense matter theory and highlight its implications to neutron star structure. Controlled ab initio calculations of the equation of state of dense neutron matter which employ realistic nucleon-nucleon potentials are now making useful predictions. They suggest that the equation of state is relatively soft in the vicinity of nuclear saturation density but quickly hardens due to 3-nucleon forces above saturation density. Accurate measurements of the neutron star radii, large neutron star masses, and neutron star cooling can provide can provide very useful constraints on the physics of this transition from soft to stiff. I will discuss this interplay between theory and observations and identify how a few percent measurement of the neutron star radius can have a transformational impact on the field.