2014 - Steele Prize for Lifetime Achievement
2013 - Fellow of the American Mathematical Society
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.
2008 - Brouwer Medal
2000 - Fellow, The World Academy of Sciences
1980 - Fellow of John Simon Guggenheim Memorial Foundation
1979 - Member of the National Academy of Sciences
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.
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.
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.
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.
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Principles of Algebraic Geometry
Phillip A Griffiths;Joseph Harris.
Geometry of algebraic curves
E. Arbarello;Maurizio Cornalba;Phillip Griffiths;J. Harris.
Geometry of Algebraic Curves: Volume II with a contribution by Joseph Daniel Harris
Enrico Arbarello;Maurizio Cornalba;Phillip A Griffiths.
Exterior Differential Systems
Robert L. Bryant;Shiing-Shen Chern;Robert B. Gardner;Phillip Griffiths.
The intermediate Jacobian of the cubic threefold
C. Herbert Clemens;Phillip A. Griffiths.
Annals of Mathematics (1972)
Principles of Algebraic Geometry: Griffiths/Principles
Phillip Griffiths;Joseph Harris.
Real Homotopy Theory of Kähler Manifolds.
Pierre Deligne;Phillip Griffiths;John Morgan;John Morgan;Dennis Sullivan.
Inventiones Mathematicae (1975)
On the Periods of Certain Rational Integrals: II
Phillip A. Griffiths.
Annals of Mathematics (1969)
Geometry of Algebraic Curves: Volume I
E Arbarello;M Cornalba;P. A Griffiths;J Harris.
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)
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