To date, sixty-six of the center's affiliates have won Nobel Prizes in Physics and three have won Fields Medals in mathematics. Its affiliates have garnered a wide array of other national and international distinctions, among them the Abel Prize, the Dirac Medal, the Guggenheim Fellowship, the MacArthur Prize, and the Breakthrough Prize. Its visitors have included figures such as the cosmologist and gravitational theorist Stephen Hawking, the particle physicist Murray Gell-Mann, the condensed matter theorist Philip W. Anderson, and the former Prime Minister of the United Kingdom, Margaret Thatcher.