Robert M. Solovay

Robert M. Solovay is a set theorist who spent many years as a professor at UC Berkeley. Among his most noted accomplishments are showing (relative to the existence of an inaccessible cardinal) that it is consistent with ZF, without the axiom of choice, that every set of real numbers is Lebesgue measurable, and isolating the notion of 0#.

Solovay earned his Ph.D. from the University of Chicago in 1964 under the direction of Saunders Mac Lane, with a dissertation on A Functorial Form of the Differentiable Riemann-Roch Theorem. Among his notable students are W. Hugh Woodin and Matthew Foreman.

Solovay has accomplishments outside of set theory as well; with Volker Strassen, he developed the Solovay-Strassen primality test, which is used to identify large natural numbers that are prime with high probability, and had important ramifications in the history of cryptography.

Selected publications

Solovay, Robert M. (1970). "A model of set-theory in which every set of reals is Lebesgue measurable". Annals of Mathematics. Second Series. 92: 1–56.
Solovay, Robert M. (1967). "A nonconstructible Δ¹₃ set of integers". Transactions of the American Mathematical Society. 127: 50–75.
Solovay, Robert M. and Volker Strassen (1977). "A fast Monte-Carlo test for primality". SIAM Journal on Computing. 6 (1): 84–85.

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