  The spatial distribution of compact dark matter in our Galaxy can be
determined in a few years of monitoring Galactic globular clusters for
microlensing. Globular clusters are the only dense fields of stars distributed
throughout the three-dimensional halo and hence are uniquely suited to probe
its structure. The microlensing optical depths towards different clusters have
varying contributions from the thin disk, thick disk, bulge, and halo of the
Galaxy. Although measuring individual optical depths to all the clusters is a
daunting task, we show that interesting Galactic structure information can be
extracted with as few as $40$--$120$ events in total for the entire globular
cluster system (observable with 2--5 years of monitoring). The globular cluster
microlensing is particularly sensitive to the core radius of the halo mass
distribution and to the scale length, surface mass density, and radial scale
height variations of the thin disk.
