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- Oscar Zariski

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
31
Citations
5,984
75
World Ranking
2502
National Ranking
1049

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

- Mathematical analysis
- Algebra
- Complex number

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.

- Commutative Algebra, Vol. II. (887 citations)
- On the Problem of Existence of Algebraic Functions of Two Variables Possessing a Given Branch Curve (284 citations)
- The Theorem of Riemann-Roch for High Multiples of an Effective Divisor on an Algebraic Surface (242 citations)

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.

- Pure mathematics (44.44%)
- Discrete mathematics (23.46%)
- Algebraic surface (20.99%)

- Pure mathematics (44.44%)
- Mathematical analysis (17.28%)
- Algebraic variety (13.58%)

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.

- Equisingular deformations of normal surface singularities, I (152 citations)
- Dimension-Theoretic Characterization of Maximal Irreducible Algebraic Systems of Plane Nodal Curves of a Given Order n and with a Given Number d of Nodes (44 citations)
- Le problème des modules pour les branches planes : cours donné au Centre de mathématiques de l'École polytechnique (33 citations)

- Mathematical analysis
- Algebra
- Algebraic geometry

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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Commutative Algebra, Vol. II.

D. Buchsbaum;Oscar Zariski;Pierre Samuel.

American Mathematical Monthly **(1959)**

1409 Citations

On the Problem of Existence of Algebraic Functions of Two Variables Possessing a Given Branch Curve

Oscar Zariski.

American Journal of Mathematics **(1929)**

443 Citations

The Theorem of Riemann-Roch for High Multiples of an Effective Divisor on an Algebraic Surface

Oscar Zariski.

Annals of Mathematics **(1962)**

389 Citations

The Reduction of the Singularities of an Algebraic Surface

Oscar Zariski.

Annals of Mathematics **(1939)**

264 Citations

Studies in Equisingularity I Equivalent Singularities of Plane Algebroid Curves

Oscar Zariski.

American Journal of Mathematics **(1965)**

256 Citations

Local Uniformization on Algebraic Varieties

Oscar Zariski.

Annals of Mathematics **(1940)**

243 Citations

Equisingular deformations of normal surface singularities, I

Oscar Zariski;Jonathan M. Wahl.

Annals of Mathematics **(1976)**

229 Citations

Commutative Algebra I

Oscar Zariski.

**(1958)**

187 Citations

On the topology of algebroid singularities

Oscar Zariski.

American Journal of Mathematics **(1932)**

149 Citations

Reduction of the Singularities of Algebraic Three Dimensional Varieties

Oscar Zariski.

Annals of Mathematics **(1944)**

145 Citations

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