Neutron stars present an interesting challenge to low temperature physics: to understand the processes responsible for the sudden speed-ups, or "glitches", observed in many pulsars. Interactions between the neutron superfluid and thc neutron rich nuclei in the inner crust of neutron stars are likely responsible for glitches, post-glitch relaxations and other timing irregularities. Here we describe recent work on thc physics on these interactions and how they give rise to vortex pinning, vortex creep, and thc dissipative coupling between the superfluid and the crust.