Recently, there has been dramatic progress in experimental studies of the BCS-BEC crossover in trapped atomic Fermi gases. In this talk I will begin with a brief overview of the field and comparison of experiments and theory. I will then describe recent theoretical work on the evolution of structure of the vortex through the BCS-BEC crossover and on calculations of the critical current which show that the unitary Fermi gas (with infinite scattering length) is the most robust superfluid state in the entire crossover.