What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Pure mathematics (44.44%)
- Discrete mathematics (23.46%)
- Algebraic surface (20.99%)
What were the highlights of his more recent work (between 1973-2018)?
- Pure mathematics (44.44%)
- Mathematical analysis (17.28%)
- Algebraic variety (13.58%)
In recent papers he was focusing on the following fields of study:
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.
Between 1973 and 2018, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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