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.
Griffiths serves as the Chair of the
Science Initiative Group. He is co-author, with  Joe Harris, of Principles of Algebraic Geometry, a well-regarded textbook on complex algebraic geometry. 
Awards and honors
In 2008 he was awarded the
Wolf Prize (jointly with Deligne and Mumford) and the  Brouwer Medal. 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. Also in 2014, Griffiths was awarded the  Chern Medal for lifetime devotion to mathematics and outstanding achievements.
Griffiths, P. A. (1962). "On certain homogeneous complex manifolds". Proc Natl Acad Sci U S A. 48 (5): 780-783. doi: 10.1073/pnas.48.5.780. PMC . 220851 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. doi: 10.1073/pnas.49.6.817. PMC . 300013 PMID 16591103.
Griffiths, Phillip A. (1963). "On the differential geometry of homogeneous vector bundles". Trans. Amer. Math. Soc. 109: 1-34. doi: . 10.1090/s0002-9947-1963-0162248-5 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. doi: 10.1073/pnas.55.5.1303. PMC . 224316 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. doi: 10.1073/pnas.55.6.1392. PMC . 224330 PMID 16578635.
Griffiths, P. A. (1966). "Some results on locally homogeneous complex manifolds". Proc Natl Acad Sci U S A. 56 (2): 413-416. doi: 10.1073/pnas.56.2.413. PMC . 224387 PMID 16591369.
"A transcendental method in algebraic geometry" (PDF). Actes, Congrès intern. math. 1970. Tome 1. pp. 113-119.
Griffiths, Phillip A. (1970). "Periods of integrals on algebraic manifolds". Bull. Amer. Math. Soc. 76 (2): 228-296. doi: . 10.1090/s0002-9904-1970-12444-2 MR 0258824.
Deligne, Pierre; Griffiths, Phillip; Morgan, John; Sullivan, Dennis (1975). "Real homotopy theory of Kähler manifolds". . Inventiones Mathematicae 29 (3): 245-274. doi: 10.1007/BF01389853. MR 0382702. with Joe Harris:
Griffiths, Phillip; Harris, Joe (1977). "A Poncelet theorem in space". Comment. Math. Helvetici. 52: 145-160. doi: 10.1007/bf02567361. 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. doi: . 10.1090/s0273-0979-1979-14640-8 MR 0532551. Griffiths, Phillip A. (1982). "Poincaré and algebraic geometry". Bull. Amer. Math. Soc. (N.S.). 6 (2): 147-159. doi: . 10.1090/s0273-0979-1982-14967-9 MR 0640942.
Mumford-Tate groups and domains: their geometry and arithmetic, with Mark Green and Matt Kerr, Princeton University Press, 2012, ISBN 978-0-691-154251 
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 
, American Mathematical Society, Providence, RI, 1989, Introduction to Algebraic Curves 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".
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 2013-01-19.
AMS Steel Prizes,
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 (4): 711-724. doi: . 10.1090/bull/1505
Olver, Peter J. (2005). "Review of Exterior differential systems and Euler-Lagrange partial differential equations by Robert Bryant, Phillip Griffiths, and Daniel Grossman". . (N.S.). Bulletin of the American Mathematical Society 42 (3): 407-412. doi: . 10.1090/S0273-0979-05-01062-1
Jacobowitz, Howard (1988). "Review: Differential systems and isometric embeddings, by P. A. Griffiths and Gary R. Jensen" (PDF). . (N.S.). Bulletin of the American Mathematical Society 19 (2): 498-504. doi: 10.1090/s0273-0979-1988-15717-5.
Chen, K. T. (1983). "Review: Rational homotopy theory and differential forms, by P. A. Griffiths and J. W. Morgan" (PDF). . (N.S.). Bulletin of the American Mathematical Society 8 (3): 496-498. doi: 10.1090/s0273-0979-1983-15135-2.
Lipman, Joseph (1980). "Review of Principles of algebraic geometry by Phillip Griffiths and Joseph Harris". . (N.S.). Bulletin of the American Mathematical Society 2: 197-200. doi: . 10.1090/S0273-0979-1980-14717-5
Drasin, David (1977). "Review: Entire holomorphic mappings in one and several complex variables, by P. A. Griffiths" (PDF). . (N.S.). Bulletin of the American Mathematical Society 83 (5): 942-946. doi: 10.1090/s0002-9904-1977-14330-9.