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In the Cold Dark Matter paradigm for cosmology, galaxies contain small-scale structure left over from the hierarchical formation process. Galactic substructure encodes information about the thermal, kinematic, and collisional properties of dark matter. A robust census of galactic substructure is therefore a powerful probe of the nature of dark matter itself. Gravitational lensing provides a unique way to make such a census by detecting galactic subhalos even if they are completely dark. I will discuss how we can use strong lensing to study dark matter substructure in galaxies at cosmological distances and probe the power spectrum at scales that become interesting from a particle perspective.