  In this paper we present scanning tunneling microscopy of a large
$\textrm{Bi}_2\textrm{Se}_3$ crystal with superconducting PbBi islands
deposited on the surface. Local density of states measurements are consistent
with induced superconductivity in the topological surface state with a
coherence length of order 540 nm. At energies above the gap the density of
states exhibits oscillations due to scattering caused by a nonuniform order
parameter. Strikingly, the spectra taken on islands also display similar
oscillations along with traces of the Dirac cone, suggesting an inverse
topological proximity effect.
