Phillip Griffiths

Phillip Griffiths
Phillip Griffiths in 2008
(photo from MFO)
Born (1938-10-18) October 18, 1938
Raleigh, North Carolina
Nationality American
Alma mater Wake Forest College (B.S.) (1959)
Princeton University (Ph.D) (1962)
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 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.

Professional career

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.

Griffiths serves as the Chair of the Science Initiative Group.[1] He is co-author, with Joe Harris, of Principles of Algebraic Geometry, a well-regarded textbook on complex algebraic geometry.[2]

Awards and honors

In 2008 he was awarded the Wolf Prize (jointly with Deligne and Mumford)[3] and the Brouwer Medal.[4] In 2012 he became a fellow of the American Mathematical Society.[5] Moreover, in 2014 Griffiths was awarded the Leroy P. Steele Prize for Lifetime Achievement by the American Mathematical Society.[6] Also in 2014, Griffiths was awarded the Chern Medal for lifetime devotion to mathematics and outstanding achievements.

Selected publications

Articles

  • "On certain homogeneous complex manifolds". Proc Natl Acad Sci U S A. 48 (5): 780–783. 1962. doi:10.1073/pnas.48.5.780. PMC 220851. PMID 16590943.
  • "Some remarks on automorphisms, analytic bundles, and embeddings of complex algebraic varieties". Proc Natl Acad Sci U S A. 49 (6): 817–820. 1963. doi:10.1073/pnas.49.6.817. PMC 300013. PMID 16591103.
  • "On the differential geometry of homogeneous vector bundles". Trans. Amer. Math. Soc. 109: 1–34. 1963. doi:10.1090/s0002-9947-1963-0162248-5. 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. doi:10.1073/pnas.55.5.1303. PMC 224316. PMID 16591357.
  • "The residue calculus and some transcendental results in algebraic geometry, II". Proc Natl Acad Sci U S A. 55 (6): 1392–1395. 1966. doi:10.1073/pnas.55.6.1392. PMC 224330. PMID 16578635.
  • "Some results on locally homogeneous complex manifolds". Proc Natl Acad Sci U S A. 56 (2): 413–416. 1966. doi:10.1073/pnas.56.2.413. PMC 224387. PMID 16591369.
  • "A transcendental method in algebraic geometry". Actes, Congrès intern. math. 1970 (PDF). Tome 1. pp. 113–119.
  • "Periods of integrals on algebraic manifolds". Bull. Amer. Math. Soc. 76 (2): 228–296. 1970. doi:10.1090/s0002-9904-1970-12444-2. MR 0258824.
  • with Joe Harris: "A Poncelet theorem in space". Comment. Math. Helvetici. 52: 145–160. 1977. doi:10.1007/bf02567361.
  • with S. S. Chern: "Abel's Theorem and Webs" (PDF). Jber. d. Dt. Math.-Verein. 80: 13–110. 1978.
  • "Complex analysis and algebraic geometry". Bull. Amer. Math. Soc. 1 (4): 595–626. 1979. doi:10.1090/s0273-0979-1979-14640-8. MR 0532551.
  • "Poincaré and algebraic geometry". Bull. Amer. Math. Soc. (N.S.). 6 (2): 147–159. 1982. doi:10.1090/s0273-0979-1982-14967-9. MR 0640942.

Books

  • Mumford–Tate groups and domains: their geometry and arithmetic, with Mark Green and Matt Kerr, Princeton University Press, 2012, ISBN 978-0-691-154251[7]
  • Exterior differential systems and Euler-Lagrange partial differential equations, with Robert Bryant and Daniel Grossman, University of Chicago Press, 2003, ISBN 0-226-07793-4 cloth; ISBN 0-226-07794-2[8]
  • 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[9]
  • 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[10]
  • Principles of Algebraic Geometry, with Joe Harris, Wiley, New York, 1978, ISBN 0471327921[11]
  • Entire Holomorphic Mappings in One and Several Complex Variables, Princeton University Press, Princeton, NJ, 1976, ISBN 0691081719[12]

References

  1. ↑ Institute for Advanced Study: Phillip A. Griffiths Professor Emeritus
  2. ↑ Review: Phillip Griffiths and Joseph Harris, Principles of algebraic geometry by Joseph Lipman
  3. ↑ "The Wolf Foundation Prize in Mathematics".
  4. ↑ Institute for Advanced Study: Royal Dutch Mathematical Society Awards Tri-annual Brouwer Prize to Phillip A. Griffiths
  5. ↑ List of Fellows of the American Mathematical Society, retrieved 2013-01-19.
  6. ↑ AMS Steel Prizes,
  7. ↑ Pearlstein, Gregory (2015). "Review of Mumford–Tate groups and domains: their geometry and arithmetic by Mark Green, Phillip A. Griffiths, and Matt Kerr". Bull. Amer. Math. Soc. (N.S.). 52: 711–724. doi:10.1090/bull/1505.
  8. ↑ Olver, Peter J. (2005). "Review of Exterior differential systems and Euler-Lagrange partial differential equations by Robert Bryant, Phillip Griffiths, and Daniel Grossman". Bulletin of the American Mathematical Society. (N.S.). 42: 407–412. doi:10.1090/S0273-0979-05-01062-1.
  9. ↑ Jacobowitz, Howard (1988). "Review: Differential systems and isometric embeddings, by P. A. Griffiths and Gary R. Jensen" (PDF). Bulletin of the American Mathematical Society. (N.S.). 19 (2): 498–504. doi:10.1090/s0273-0979-1988-15717-5.
  10. ↑ Chen, K. T. (1983). "Review: Rational homotopy theory and differential forms, by P. A. Griffiths and J. W. Morgan" (PDF). Bulletin of the American Mathematical Society. (N.S.). 8 (3): 496–498. doi:10.1090/s0273-0979-1983-15135-2.
  11. ↑ Lipman, Joseph (1980). "Review of Principles of algebraic geometry by Phillip Griffiths and Joseph Harris". Bulletin of the American Mathematical Society. (N.S.). 2: 197–200. doi:10.1090/S0273-0979-1980-14717-5.
  12. ↑ Drasin, David (1977). "Review: Entire holomorphic mappings in one and several complex variables, by P. A. Griffiths" (PDF). Bulletin of the American Mathematical Society. (N.S.). 83 (5): 942–946. doi:10.1090/s0002-9904-1977-14330-9.
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