• Thumbnail for Oscar Zariski
    Oscar Zariski (April 24, 1899 – July 4, 1986) was an American mathematician. The Russian-born scientist was one of the most influential algebraic geometers...
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  • Thumbnail for Zariski topology
    particular, it is not Hausdorff. This topology was introduced primarily by Oscar Zariski and later generalized for making the set of prime ideals of a commutative...
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  • In algebraic geometry, Zariski's main theorem, proved by Oscar Zariski (1943), is a statement about the structure of birational morphisms stating roughly...
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  • Riemann manifolds or Riemann surfaces. They were named Zariski–Riemann spaces after Oscar Zariski and Bernhard Riemann by Nagata (1962) who used them to...
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  • In algebraic geometry, Zariski's connectedness theorem (due to Oscar Zariski) says that under certain conditions the fibers of a morphism of varieties...
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  • Thumbnail for David Mumford
    Mumford then went to Harvard University, where he became a student of Oscar Zariski. At Harvard, he became a Putnam Fellow in 1955 and 1956. He completed...
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  • Thumbnail for Heisuke Hironaka
    then Harvard professor Oscar Zariski to Kyoto University. Hironaka took the opportunity to present his own research to Zariski, who suggested that Hironaka...
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  • In algebra, Zariski's lemma, proved by Oscar Zariski (1947), states that, if a field K is finitely generated as an associative algebra over another field...
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  • Thumbnail for Michael Artin
    University, where he received a Ph.D. in 1960 under the supervision of Oscar Zariski, defending a thesis about Enriques surfaces. In the early 1960s, Artin...
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  • geometry. The two-volume work Commutative Algebra that he wrote with Oscar Zariski is a classic. Other books of his covered projective geometry and algebraic...
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  • Thumbnail for Alexander Grothendieck
    "Tôhoku paper". In 1957 he was invited to visit Harvard University by Oscar Zariski, but the offer fell through when he refused to sign a pledge promising...
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  • Institute of Technology who worked on local rings. He was a student of Oscar Zariski at Johns Hopkins University. In his thesis he proved the Cohen structure...
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  • surface. In particular, all Zariski surfaces are unirational. They were named by Piotr Blass in 1977 after Oscar Zariski who used them in 1958 to give...
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  • Thumbnail for Shreeram Shankar Abhyankar
    Ph.D. at Harvard in 1955. His thesis, written under the direction of Oscar Zariski, was titled Local uniformization on algebraic surfaces over modular...
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  • In algebraic geometry, a Zariski space, named for Oscar Zariski, has several different meanings: A topological space that is Noetherian (every open set...
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  • Thumbnail for Arithmetic geometry
    commutative algebra, including valuation theory and the theory of ideals by Oscar Zariski and others in the 1930s and 1940s. In 1949, André Weil posed the landmark...
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  • were introduced by Oscar Zariski (1946) under the name "semi-local ring" which now means something different, and named "Zariski rings" by Pierre Samuel (1953)...
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  • holomorphic functions when no confusion can arise. They were introduced by Oscar Zariski (1949, 1951). The theory of formal holomorphic functions has largely...
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  • He was a professor at Kyoto University. Alongside Wolfgang Krull, Oscar Zariski, and Masayoshi Nagata, he is famous for his early work in commutative...
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  • Thumbnail for André Weil
    taught at the Universidade de São Paulo from 1945 to 1947, working with Oscar Zariski. Weil and his wife had two daughters, Sylvie (born in 1942) and Nicolette...
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  • Thumbnail for Daniel Gorenstein
    stayed at Harvard and earned his PhD 1950 under the supervision of Oscar Zariski. In his dissertation, Gorenstein introduced a duality principle for...
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  • "father of life insurance" for his pioneering work on actuarial tables. Oscar Zariski (1899–1986): American mathematician and one of the most influential...
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  • Whorf, American linguist, anthropologist, and engineer (d. 1941) 1899 – Oscar Zariski, Russian-American mathematician and academic (d. 1986) 1900 – Elizabeth...
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  • Guido Castelnuovo Federigo Enriques Francesco Severi Solomon Lefschetz Oscar Zariski W. V. D. Hodge Sir Michael Atiyah Kunihiko Kodaira André Weil Jean-Pierre...
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  • Amer. Math. Soc. 31 (9): 558–559. doi:10.1090/s0002-9904-1925-04116-6. Zariski, Oscar (1930). "Review: S. Lefschetz, Géométrie sur les Surfaces et les Variétés...
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  • Thumbnail for John von Neumann
    Abraham Adrian Albert (1965–1966) Charles B. Morrey Jr. (1967–1968) Oscar Zariski (1969–1970) Nathan Jacobson (1971–1972) Saunders Mac Lane (1973–1974)...
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  • Thumbnail for Robin Hartshorne
    the Hilbert scheme under the supervision of John Coleman Moore and Oscar Zariski. He then became a Junior Fellow at Harvard University, where he taught...
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  • regularity originated when Claude Chevalley and André Weil pointed out to Oscar Zariski (1947) that, over non-perfect fields, the Jacobian criterion for a simple...
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  • member of the Minnesota House of Representatives (1935–1940), pneumonia. Oscar Zariski, 87, Russian-born American mathematician. Thomas Arnold, 85, British...
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  • Wolfgang Krull in 1937, but they first became prominent in the work of Oscar Zariski a few years later, who showed that geometrically, a regular local ring...
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