World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
55
Citations
36061
World Ranking
759
National Ranking
372

Research.com Recognitions

  • 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

Phillip A. Griffiths is affiliated with the Institute for Advanced Study in the United States. Their primary field of study is Mathematics, with a significant focus on subfields such as Geometry and Topology, Mathematical Physics, Applied Mathematics, Computer Vision and Pattern Recognition, and Theoretical Computer Science.

The main topics of Griffiths's research include:

  • Algebraic Geometry and Number Theory
  • Homotopy and Cohomology in Algebraic Topology
  • Meromorphic and Entire Functions
  • Advanced Differential Equations and Dynamical Systems
  • Advanced Algebra and Geometry
  • Mathematical Dynamics and Fractals
  • Geometry and complex manifolds

Frequent publication venues for their work include:

  • arXiv (Cornell University)
  • Notices of the American Mathematical Society
  • Pure and Applied Mathematics Quarterly
  • International Journal of Mathematics
  • Contemporary mathematics - American Mathematical Society

Griffiths has collaborated often with several coauthors such as:

  • Mark Green
  • Colleen Robles
  • Robert L. Bryant
  • Robert Friedman
  • Rodolfo Aguilar

Recent papers authored or co-authored by Phillip A. Griffiths include:

  • "Positivity of vector bundles and Hodge theory," 2021, International Journal of Mathematics
  • "Hodge theory and moduli," 2021, Contemporary mathematics - American Mathematical Society
  • "Natural line bundles on completions of period mappings," 2021, arXiv (Cornell University)
  • "Isadore M. Singer (1924-2021) In Memoriam Part 1: Scientific Works," 2022, Notices of the American Mathematical Society
  • "Shafarevich mappings and period mappings," 2022, arXiv (Cornell University)

Among the honors received by Griffiths are the Steele Prize for Lifetime Achievement (2014), Fellow of the American Mathematical Society (2013), the Brouwer Medal (2008), and the Wolf Prize in Mathematics (2008), recognized for contributions to variations of Hodge structures, theory of periods of abelian integrals, and complex differential geometry.

Additional recognitions include being a Fellow of The World Academy of Sciences (2000), a Fellow of the John Simon Guggenheim Memorial Foundation (1980), and membership in the National Academy of Sciences (1979).

Best Publications

  • 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

  • Principles of Algebraic Geometry: Griffiths/Principles

    Phillip Griffiths;Joseph Harris

  • The intermediate Jacobian of the cubic threefold

    C. Herbert Clemens;Phillip A. Griffiths

  • Real Homotopy Theory of Kähler Manifolds.

    Pierre Deligne;Phillip Griffiths;John Morgan;John Morgan;Dennis Sullivan

  • On the Periods of Certain Rational Integrals: II

    Phillip A. Griffiths

  • 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

  • Rational Homotopy Theory and Differential Forms

    Phillip Griffiths;John W. Morgan

  • On Cartan’s method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry

    P. Griffiths

  • Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems

    Phillip A. Griffiths

  • Locally homogeneous complex manifolds

    Phillip Griffiths;Phillip Griffiths;Wilfried Schmid;Wilfried Schmid

  • On the variety of special linear systems on a general algebraic curve

    Phillip Griffiths;Joseph Harris

  • Algebraic geometry and local differential geometry

    Phillip Griffiths;Joseph Harris

  • Two Applications of Algebraic Geometry to Entire Holomorphic Mappings

    Mark Green;Phillip Griffiths

  • NEVANLINNA THEORY AND HOLOMORPHIC MAPPINGS BETWEEN ALGEBRAIC VARIETIES

    Phillip Griffiths;Phillip Griffiths;James King;James King

  • Exterior Differential Systems and the Calculus of Variations

    Phillip A. Griffiths

  • PERIODS OF INTEGRALS ON ALGEBRAIC MANIFOLDS, II. (Local Study of the Period Mapping)

    Phillip A. Griffiths

  • Linear Differential Operators

    Robert L. Bryant;S. S. Chern;Robert B. Gardner;Hubert L. Goldschmidt

Frequent Co-Authors

John W. Morgan
John W. Morgan Stony Brook University
Joe Harris
Joe Harris Harvard University
Robert L. Bryant
Robert L. Bryant Duke University
Shiing-Shen Chern
Shiing-Shen Chern University of California, Berkeley
Wilfried Schmid
Wilfried Schmid Harvard University
Dennis Sullivan
Dennis Sullivan Stony Brook University
Deane Yang
Deane Yang New York University
Joseph A. Wolf
Joseph A. Wolf University of California, Berkeley
Pierre Deligne
Pierre Deligne Institute for Advanced Study
David R. Morrison
David R. Morrison University of California, Santa Barbara

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students pursuing Mathematics in the USA, exploring related online degrees can open diverse career opportunities. Many learners find that combining mathematical skills with business acumen enhances their prospects. For instance, enrolling in one of the easiest mba program options allows students to quickly gain valuable management knowledge without compromising on quality.

If flexibility and a streamlined curriculum are key priorities, the easiest mba program guide can help identify programs that balance convenience with academic rigor. This is ideal for mathematicians aiming to enter leadership roles in industries like finance or tech.

On the doctoral front, those interested in higher-level academic or consulting careers may consider the cheapest aacsb online dba. It offers an accessible pathway to develop advanced research and business expertise, complementing a math background.

Additionally, finance remains a closely related field where math proficiency is critical. Pursuing the cheapest masters in finance can equip students with the financial modeling and analytical skills needed for high-demand roles in banking, investment, and analytics.

Best Scientists Citing Phillip A. Griffiths

Trending Scientists

Recently Published Articles