  A superfluid-insulator transition is known to occur in strongly disordered
Fermi gases, in both the BCS and BEC regimes; here, we address the properties
of this transition across the BEC-BCS crossover. We argue that the critical
disorder strength at which superfluidity is lost changes non-monotonically with
detuning from Feshbach resonance, and that a reentrant superfluid phase arises
for detunings near the fermionic mobility edge. Our analysis of the
intermediate regime is quantitatively valid for narrow resonances and near four
dimensions, and provides a simple physical picture of this regime, in terms of
two distinct but coexisting insulators.
