Searches for Cosmological Axions What constitutes the dark matter is one of the premier questions in science today. A leading candidate is a very light axion. As shown by Sikivie, halo axions may be detected by their coherent conversion to microwave photons in a high-Q cavity permeated by a strong magnetic field. A collaboration from LLNL, Florida, Berkeley and NRAO has developed the world's quietest radio receiver for this search and has achieved sensitivity well into the range of axion models. The Berkeley group has developed a breakthrough technology, near-quantum-limited SQUID amplifiers, which will reduce the noise temperature of the experiment by a factor of 30, thus enabling a truly definitive search. A similar effort in Kyoto is attempting to implement a Rydberg-atom single-quantum detector as the back end of the Sikivie microwave cavity experiment, that could evade the quantum limit entirely.