H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 54 Citations 34,466 110 World Ranking 430 National Ranking 224

Research.com Recognitions

Awards & Achievements

2014 - Steele Prize for Lifetime Achievement

2013 - Fellow of the American Mathematical Society

2008 - Brouwer Medal

2008 - Wolf Prize in Mathematics for his work on variations of Hodge structures; the theory of periods of abelian integrals; and for his contributions to complex differential geometry.

2000 - Fellow, The World Academy of Sciences

1980 - Fellow of John Simon Guggenheim Memorial Foundation

1979 - Member of the National Academy of Sciences

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Pure mathematics
  • Topology

His main research concerns Pure mathematics, Real algebraic geometry, Function field of an algebraic variety, Algebra and Algebraic variety. The various areas that he examines in his Pure mathematics study include Algebraic number and Topology. His Real algebraic geometry study integrates concerns from other disciplines, such as Algebraic cycle, Differential algebraic geometry and Dimension of an algebraic variety.

His study focuses on the intersection of Differential algebraic geometry and fields such as Geometry with connections in the field of Hilbert scheme. His biological study spans a wide range of topics, including Discrete mathematics, Algebraic surface and Singular point of an algebraic variety. His Algebraic variety study which covers Hermitian symmetric space that intersects with Mathematical analysis.

His most cited work include:

  • Principles of Algebraic Geometry (6667 citations)
  • Geometry of algebraic curves (1946 citations)
  • Real Homotopy Theory of Kähler Manifolds. (741 citations)

What are the main themes of his work throughout his whole career to date?

Phillip Griffiths mostly deals with Pure mathematics, Mathematical analysis, Algebra, Algebraic cycle and Hodge theory. Phillip Griffiths interconnects Algebraic variety and Discrete mathematics in the investigation of issues within Pure mathematics. When carried out as part of a general Mathematical analysis research project, his work on Integrating factor and Partial differential equation is frequently linked to work in Isometric exercise, therefore connecting diverse disciplines of study.

His research integrates issues of Algebraic function and Real algebraic geometry in his study of Algebraic cycle. His Real algebraic geometry research incorporates elements of Algebraic geometry and analytic geometry, Differential algebraic geometry and Dimension of an algebraic variety. His studies deal with areas such as Algebraic surface, Function field of an algebraic variety and Complex geometry as well as Algebraic geometry and analytic geometry.

He most often published in these fields:

  • Pure mathematics (61.96%)
  • Mathematical analysis (19.57%)
  • Algebra (16.85%)

What were the highlights of his more recent work (between 2007-2021)?

  • Pure mathematics (61.96%)
  • Hodge theory (10.87%)
  • Cohomology (9.78%)

In recent papers he was focusing on the following fields of study:

His primary scientific interests are in Pure mathematics, Hodge theory, Cohomology, Algebra and Moduli space. His study brings together the fields of Moduli and Pure mathematics. In his study, Hodge dual is strongly linked to Hodge structure, which falls under the umbrella field of Hodge theory.

Phillip Griffiths has included themes like Vector bundle, Minimal model and Homology in his Cohomology study. Phillip Griffiths is studying Mumford–Tate group, which is a component of Algebra. Phillip Griffiths combines subjects such as Ring and Intersection theory with his study of Moduli space.

Between 2007 and 2021, his most popular works were:

  • Exterior Differential Systems (582 citations)
  • Geometry of Algebraic Curves: Volume II with a contribution by Joseph Daniel Harris (65 citations)
  • PERIODS OF INTEGRALS ON ALGEBRAIC MANIFOLDS, II (65 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Pure mathematics
  • Algebra

The scientist’s investigation covers issues in Pure mathematics, Algebra, Hodge theory, Geometry and Hodge conjecture. His Pure mathematics study combines topics in areas such as Algebraic variety and Complex geometry. His work carried out in the field of Complex geometry brings together such families of science as Chern–Weil homomorphism, Algebraic geometry and analytic geometry, Lefschetz theorem on -classes and Chern class.

His Algebra study frequently links to adjacent areas such as Space. His Hodge theory research includes elements of Projective variety, Vector bundle, Hodge structure and Differential geometry. His Geometry research integrates issues from Algebraic curve, Geometric invariant theory, Volume and Mathematical physics.

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.

Top Publications

Principles of Algebraic Geometry

Phillip A Griffiths;Joseph Harris.
(1978)

11297 Citations

Geometry of algebraic curves

E. Arbarello;Maurizio Cornalba;Phillip Griffiths;J. Harris.
(1985)

3258 Citations

Geometry of Algebraic Curves: Volume II with a contribution by Joseph Daniel Harris

Enrico Arbarello;Maurizio Cornalba;Phillip A Griffiths.
(2011)

3210 Citations

Exterior Differential Systems

Robert L. Bryant;S. S. Chern;Robert B. Gardner;Hubert L. Goldschmidt.
(2011)

1309 Citations

The intermediate Jacobian of the cubic threefold

C. Herbert Clemens;Phillip A. Griffiths.
Annals of Mathematics (1972)

1098 Citations

Real Homotopy Theory of Kähler Manifolds.

Pierre Deligne;Phillip Griffiths;John Morgan;John Morgan;Dennis Sullivan.
Inventiones Mathematicae (1975)

998 Citations

Principles of Algebraic Geometry: Griffiths/Principles

Phillip Griffiths;Joseph Harris.
(1994)

970 Citations

On the Periods of Certain Rational Integrals: II

Phillip A. Griffiths.
Annals of Mathematics (1969)

823 Citations

Geometry of Algebraic Curves: Volume I

E Arbarello;M Cornalba;P. A Griffiths;J Harris.
(1984)

368 Citations

Periods of integrals on algebraic manifolds, III (Some global differential-geometric properties of the period mapping)

Phillip A. Griffiths.
Publications Mathématiques de l'IHÉS (1970)

335 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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