Donald Anthony Martin (born December 24, 1940), also known as Tony Martin, is an American set theorist and philosopher of mathematics at UCLA, where he is an emeritus professor of mathematics and philosophy.
Education and career
editMartin received his B.S. from the Massachusetts Institute of Technology in 1962 and was a Junior Fellow of the Harvard Society of Fellows in 1965–67.[1] In 2014, he became a Fellow of the American Mathematical Society.[2]
Martin was the 1992 Tarski lecturer.
Philosophical and mathematical work
editAmong Martin's most notable works are the proofs of analytic determinacy[3] (from the existence of a measurable cardinal), Borel determinacy[4] (from ZFC alone), the proof (with John R. Steel) of projective determinacy[5] (from suitable large cardinal axioms), and his work on Martin's axiom.[6] The Martin measure on Turing degrees and the Martin Conjecture on Turing invariant functions are also named after Martin.
See also
editReferences
edit- ^ "Donald (Tony) Martin - Emeritus".
- ^ List of Fellows of the American Mathematical Society, retrieved 2014-12-17
- ^ Martin, Donald (1970). "Measurable cardinals and analytic games". Fundamenta Mathematicae. 66 (3): 287–291. doi:10.4064/fm-66-3-287-291. ISSN 0016-2736.
- ^ Martin, Donald A. (1975). "Borel determinacy". Annals of Mathematics. Second Series. 102 (2): 363–371. doi:10.2307/1971035. JSTOR 1971035.
- ^ Martin, Donald A. and John R. Steel (Jan 1989). "A Proof of Projective Determinacy". Journal of the American Mathematical Society. 2 (1): 71–125. doi:10.2307/1990913. JSTOR 1990913.
- ^ Martin, Donald A.; Solovay, Robert M. (1970). "Internal Cohen extensions". Ann. Math. Logic. 2 (2): 143–178. doi:10.1016/0003-4843(70)95009-4. MR 0270904.
External links
edit- Donald A. Martin at the Mathematics Genealogy Project
- List of publications
- UCLA Logic center
- Personal Website at UCLA
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