Phillip Griffiths in 2008
(photo from MFO)
October 18, 1938 |
Raleigh, North Carolina
|Institutions||University of California, Berkeley
|Alma mater||Princeton University
Wake Forest College
|Doctoral advisor||Donald C. Spencer|
|Doctoral students||Howard Garland
|Notable awards||Leroy P. Steele Prize for Lifetime Achievement by the AMS (2014)
Wolf Prize (2008)
Brouwer Medal (2008)
Phillip Augustus Griffiths IV (born October 18, 1938) is an American mathematician, known for his work in the field of geometry, and in particular for the complex manifold approach to algebraic geometry. He was a major developer in particular of the theory of variation of Hodge structure in Hodge theory and moduli theory.
He received his B.S. from Wake Forest College in 1959 and his Ph.D. from Princeton University in 1962 working under Donald Spencer. Since then, he has held positions at Berkeley (1962–1967), Princeton (1967–1972), Harvard University (1972–1983), and Duke University (1983–1991). From 1991 to 2003 he was the Director of the Institute for Advanced Study at Princeton, New Jersey. He has published on algebraic geometry, differential geometry, geometric function theory, and the geometry of partial differential equations.
Awards and honors
In 2008 he was awarded the Wolf Prize (jointly with Deligne and Mumford). In 2012 he became a fellow of the American Mathematical Society. Moreover, in 2014 Griffiths was awarded the Leroy P. Steele Prize for Lifetime Achievement by the American Mathematical Society.
- "On certain homogeneous complex manifolds". Proc Natl Acad Sci U S A 48 (5): 780–783. 1962. PMC 220851.
- "Some remarks on automorphisms, analytic bundles, and embeddings of complex algebraic varieties". Proc Natl Acad Sci U S A 49 (6): 817–820. 1963. PMC 300013.
- "On the differential geometry of homogeneous vector bundles". Trans. Amer. Math. Soc. 109: 1–34. 1963. MR 0162248.
- "The residue calculus and some transcendental results in algebraic geometry, I". Proc Natl Acad Sci U S A 55 (5): 1303–1309. 1966. PMC 224316.
- "The residue calculus and some transcendental results in algebraic geometry, II". Proc Natl Acad Sci U S A 55 (6): 1392–1395. 1966. PMC 224330.
- "Some results on locally homogeneous complex manifolds". Proc Natl Acad Sci U S A 56 (2): 413–416. 1966. PMC 224387.
- "A transcendental method in algebraic geometry". Actes, Congrès intern. math. 1970. Tome 1. pp. 113–119.
- "Periods of integrals on algebraic manifolds". Bull. Amer. Math. Soc. 76 (2): 228–296. 1970. MR 0258824.
- with Joe Harris: "A Poncelet theorem in space". Comment. Math. Helvetici 52: 145–160. 1977.
- with S. S. Chern: "Abel's Theorem and Webs". Jber. d. Dt. Math.-Verein. 80: 13–110. 1978.
- "Complex analysis and algebraic geometry". Bull. Amer. Math. Soc. 1 (4): 595–626. 1979. MR 532551.
- "Poincaré and algebraic geometry". Bull. Amer. Math. Soc. (N.S.) 6 (2): 147–159. 1982. MR 640942.
- 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
- 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 John W Morgan, Birkhäuser, Boston, 1981, ISBN 3764330414
- Principles of Algebraic Geometry, with Joe Harris, Wiley, New York, 1978, ISBN 0471327921
- Entire Holomorphic Mappings in One and Several Complex Variables, Princeton University Press, Princeton, NJ, 1976, ISBN 0691081719
- Institute for Advanced Study: Phillip A. Griffiths Professor Emeritus
- Review: Phillip Griffiths and Joseph Harris, Principles of algebraic geometry by Joseph Lipman
- "The Wolf Foundation Prize in Mathematics".
- List of Fellows of the American Mathematical Society, retrieved 2013-01-19.
- AMS Steel Prizes,
- Jacobowitz, Howard (1988). "Review: Differential systems and isometric embeddings, by P. A. Griffiths and Gary R. Jensen". Bull. Amer. Math. Soc. (N.S.) 19 (2): 498–504.
- Chen, K. T. (1983). "Review: Rational homotopy theory and differential forms, by P. A. Griffiths and J. W. Morgan". Bull. Amer. Math. Soc. (N.S.) 8 (3): 496–498.
- Drasin, David (1977). "Review: Entire holomorphic mappings in one and several complex variables, by P. A. Griffiths". Bull. Amer. Math. Soc. 83 (5): 942–946.