1981 - Wolf Prize in Mathematics creator of the modern approach to algebraic geometry, by its fusion with commutative algebra.
1965 - US President's National Medal of Science "For his creation of a rigorous abstract theory of algebraic geometry, and for his profound influence--especially through many brilliant students--on the algebraic structure of contemporary pure mathematics.", Presented by President Johnson at a White House ceremony on February 10, 1966.
1947 - Fellow of the American Association for the Advancement of Science (AAAS)
1944 - Member of the National Academy of Sciences
1944 - Frank Nelson Cole Prize in Algebra
1939 - Fellow of John Simon Guggenheim Memorial Foundation
Oscar Zariski spends much of his time researching Gravitational singularity, Pure mathematics, Algebraic surface, Function field of an algebraic variety and Discrete mathematics. The various areas that he examines in his Gravitational singularity study include Topology and Topology. His is involved in several facets of Pure mathematics study, as is seen by his studies on Commutative algebra and Field.
His Algebraic surface research incorporates elements of Algebraic function and Real algebraic geometry. As a part of the same scientific study, Oscar Zariski usually deals with the Real algebraic geometry, concentrating on Dimension of an algebraic variety and frequently concerns with Algebraic number theory and Divisor. The Discrete mathematics study which covers Algebraic cycle that intersects with Algebraic curve.
Oscar Zariski mainly investigates Pure mathematics, Discrete mathematics, Algebraic surface, Algebraic cycle and Mathematical analysis. His biological study spans a wide range of topics, including Algebraic variety, Algebraic function, Algebraic number, Zero and Variety. His study in Discrete mathematics is interdisciplinary in nature, drawing from both Theorem of Bertini, Stable curve and Analytic proof.
His Algebraic surface research is multidisciplinary, incorporating perspectives in Algebraic curve and Gravitational singularity. His studies examine the connections between Algebraic cycle and genetics, as well as such issues in Real algebraic geometry, with regards to Function field of an algebraic variety, Dimension of an algebraic variety and Algebraic number theory. Oscar Zariski works mostly in the field of Mathematical analysis, limiting it down to concerns involving Local ring and, occasionally, Geometry.
Oscar Zariski focuses on Pure mathematics, Mathematical analysis, Algebraic variety, Discrete mathematics and Algebraic number. He has included themes like Resolution and Subvariety in his Pure mathematics study. His Gravitational singularity study in the realm of Mathematical analysis interacts with subjects such as Bibliography.
His study focuses on the intersection of Gravitational singularity and fields such as Algebraic surface with connections in the field of Algebraic cycle. To a larger extent, he studies Algebra with the aim of understanding Algebraic cycle. His research in Algebraic variety tackles topics such as Resolution of singularities which are related to areas like Moduli space.
His primary areas of investigation include Mathematical analysis, Discrete mathematics, Normal surface, Gravitational singularity and Embedding. His studies deal with areas such as Plane, Moduli of algebraic curves, Modular equation and Deformation theory as well as Mathematical analysis. His Discrete mathematics study combines topics from a wide range of disciplines, such as Algebraic number, Order and Plane curve.
The study incorporates disciplines such as Algebraic variety and Dimension, Pure mathematics in addition to Embedding.
Commutative Algebra, Vol. II.
D. Buchsbaum;Oscar Zariski;Pierre Samuel.
American Mathematical Monthly (1959)
On the Problem of Existence of Algebraic Functions of Two Variables Possessing a Given Branch Curve
American Journal of Mathematics (1929)
The Theorem of Riemann-Roch for High Multiples of an Effective Divisor on an Algebraic Surface
Annals of Mathematics (1962)
The Reduction of the Singularities of an Algebraic Surface
Annals of Mathematics (1939)
Studies in Equisingularity I Equivalent Singularities of Plane Algebroid Curves
American Journal of Mathematics (1965)
Local Uniformization on Algebraic Varieties
Annals of Mathematics (1940)
Equisingular deformations of normal surface singularities, I
Oscar Zariski;Jonathan M. Wahl.
Annals of Mathematics (1976)
Commutative Algebra I
On the topology of algebroid singularities
American Journal of Mathematics (1932)
Reduction of the Singularities of Algebraic Three Dimensional Varieties
Annals of Mathematics (1944)
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