  Some candidate dark matter particles, such as neutralinos in supersymmetry,
would annihilate producing GeV/TeV gamma rays. We report on recent observations
of two dwarf spheroid galaxies, Draco, Ursa Minor, the compact elliptical
galaxy M32, and the spiral galaxy M33 with the Whipple 10m gamma-ray telescope.
No significant signal was found, and we derived upper limits for the gamma-ray
flux from each object. We discuss our astrophysical selection criteria for
these galaxies in the context of an indirect search for dark matter and the
implications of these flux upper limits on the density of neutralinos.
