Neutralino dark matter searches with neutrino telescopes: AMANDA results and IceCube prospects

If non-baryonic dark matter exists in the form of neutralinos, they may accumulate in massive celestial bodies leading to a neutrino flux from the decay products of neutralino pair annihilation. Data taken with high energy neutrino telescopes can be used in a search for this indirect dark matter signal. We will present current results from searches for neutralinos accumulated in the Earth and the Sun, using AMANDA data from 1997-1999 and 2001 respectively. We also discuss future improvements for higher statistics AMANDA data samples acquired during recent years and the indirect dark matter detection prospects for the 1 km 3 IceCube detector, currently under construction at the South Pole.