Phillip Griffiths
Phillip Griffiths | |
|---|---|
algebraic cycles Hodge theory | |
| Awards | Chern Medal (2014) Leroy P. Steele Prize for Lifetime Achievement (2014) Wolf Prize (2008) Brouwer Medal (2008) Leroy P. Steele Prize (1971) |
| Scientific career | |
| Fields | Mathematics |
| Institutions | University of California, Berkeley Princeton University Harvard University Duke University Institute for Advanced Study |
| Doctoral advisor | Donald C. Spencer |
| Doctoral students | Herbert Clemens Howard Garland Mark Lee Green Joe Harris David R. Morrison Wilfried Schmid Andrew J. Sommese |
Phillip Augustus Griffiths IV (born October 18, 1938) is an American mathematician, known for his work in the field of
moduli theory, which forms part of transcendental algebraic geometry and which also touches upon major and distant areas of differential geometry. He also worked on partial differential equations, coauthored with Shiing-Shen Chern, Robert Bryant and Robert Gardner
on Exterior Differential Systems.
Professional career
He received his BS from
partial differential equations
.
Griffiths serves as the Chair of the
Science Initiative Group.[2] He is co-author, with Joe Harris, of Principles of Algebraic Geometry, a well-regarded textbook on complex algebraic geometry.[3]
Awards and honors
Griffiths was elected to the
Deligne and Mumford)[6] and the Brouwer Medal.[7] In 2012 he became a fellow of the American Mathematical Society.[8] Moreover, in 2014 Griffiths was awarded the Leroy P. Steele Prize for Lifetime Achievement by the American Mathematical Society.[9] Also in 2014, Griffiths was awarded the Chern Medal
for lifetime devotion to mathematics and outstanding achievements.
Selected publications
Articles
- Griffiths, P. A. (1962). "On certain homogeneous complex manifolds". Proc Natl Acad Sci U S A. 48 (5): 780–783. PMID 16590943.
- Griffiths, P. A. (1963). "Some remarks on automorphisms, analytic bundles, and embeddings of complex algebraic varieties". Proc Natl Acad Sci U S A. 49 (6): 817–820. PMID 16591103.
- Griffiths, Phillip A. (1963). "On the differential geometry of homogeneous vector bundles". Trans. Amer. Math. Soc. 109: 1–34. MR 0162248.
- Griffiths, P. A. (1966). "The residue calculus and some transcendental results in algebraic geometry, I". Proc Natl Acad Sci U S A. 55 (5): 1303–1309. PMID 16591357.
- Griffiths, P. A. (1966). "The residue calculus and some transcendental results in algebraic geometry, II". Proc Natl Acad Sci U S A. 55 (6): 1392–1395. PMID 16578635.
- Griffiths, P. A. (1966). "Some results on locally homogeneous complex manifolds". Proc Natl Acad Sci U S A. 56 (2): 413–416. PMID 16591369.
- "A transcendental method in algebraic geometry" (PDF). Actes, Congrès intern. math. 1970. Vol. Tome 1. pp. 113–119.
- Griffiths, Phillip A. (1970). "Periods of integrals on algebraic manifolds". Bull. Amer. Math. Soc. 76 (2): 228–296. MR 0258824.
- S2CID 1357812.
- with Joe Harris: Griffiths, Phillip; Harris, Joe (1977). "A Poncelet theorem in space". Comment. Math. Helv. 52: 145–160. S2CID 119686396.
- with S. S. Chern: "Abel's Theorem and Webs" (PDF). Jber. D. Dt. Math.-Verein. 80: 13–110. 1978.
- Griffiths, Phillip A. (1979). "Complex analysis and algebraic geometry". Bull. Amer. Math. Soc. 1 (4): 595–626. MR 0532551.
- Griffiths, Phillip A. (1982). "Poincaré and algebraic geometry". Bull. Amer. Math. Soc. (N.S.). 6 (2): 147–159. MR 0640942.
Books
- Mumford–Tate groups and domains: their geometry and arithmetic, with ISBN 978-0-691-154251[10]
- Selected Works of Phillip A. Griffiths with Commentary. Vol. 4 vols. American Mathematical Soc. 2003. in pbk: Griffiths, Phillip; Cornalba, Maurizio (2003). vol. 1. ISBN 0-8218-2089-3.
- Exterior differential systems and Euler-Lagrange partial differential equations, with ISBN 0-226-07794-2[11]
- Introduction to Algebraic Curves, American Mathematical Society, Providence, RI, 1989, ISBN 0821845306
- Differential Systems and Isometric Embeddings, with Gary R. Jensen, Princeton University Press, Princeton, NJ, 1987, ISBN 0-691-08429-7[12]
- Topics in Transcendental Algebraic Geometry, Princeton University Press, Princeton, NJ, 1984, ISBN 0691083355
- Exterior Differential Systems and the Calculus of Variations, Birkhäuser, Boston, 1983, ISBN 3764331038
- Rational Homotopy Theory and Differential Forms, with ISBN 3764330414[13]
- Principles of Algebraic Geometry, with ISBN 0471327921[14]
- Entire Holomorphic Mappings in One and Several Complex Variables, ISBN 0691081719[15]
References
- PMID 16590943.
- ^ a b c d e "Phillip A. Griffiths". Institute for Advanced Study. December 9, 2019. Retrieved September 11, 2020.
- ^ Review: Phillip Griffiths and Joseph Harris, Principles of algebraic geometry by Joseph Lipman
- ^ "Phillip A. Griffiths". www.nasonline.org. Retrieved March 28, 2022.
- ^ "APS Member History". search.amphilsoc.org. Retrieved March 28, 2022.
- ^ "The Wolf Foundation Prize in Mathematics".
- ^ Institute for Advanced Study: Royal Dutch Mathematical Society Awards Tri-annual Brouwer Prize to Phillip A. Griffiths
- ^ List of Fellows of the American Mathematical Society, retrieved January 19, 2013.
- ^ AMS Steele Prizes,
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External links
Wikiquote has quotations related to Phillip Griffiths.
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