American mathematician (born 1938)
Not to be confused with
Phillip Griffith , another American mathematician also working in algebraic geometry.
Phillip Augustus Griffiths IV (born October 18, 1938) is an American mathematician, known for his work in the field ofgeometry , and in particular for thecomplex manifold approach toalgebraic geometry . He is a major developer in particular of the theory ofvariation of Hodge structure inHodge theory andmoduli theory , which forms part of transcendental algebraic geometry and which also touches upon major and distant areas ofdifferential geometry . He also worked on partial differential equations, coauthored withShiing-Shen Chern ,Robert Bryant andRobert Gardner on Exterior Differential Systems.
Professional career [ edit ] He received his BS fromWake Forest College in 1959 and his PhD fromPrinceton University in 1962 after completing a doctoral dissertation, titled "On certain homogeneouscomplex manifolds ", under the supervision ofDonald Spencer .[ 1] University of California, Berkeley (1962–1967) and Princeton University (1967–1972).[citation needed Griffiths was a professor of mathematics atHarvard University from 1972 to 1983.[ 2] Duke University from 1983 to 1991.[ 2] Institute for Advanced Study (IAS) inPrinceton, New Jersey .[ 2] [ 2] differential geometry ,geometric function theory , and the geometry ofpartial differential equations .
Griffiths serves as the Chair of theScience Initiative Group .[ 2] Joe Harris , ofPrinciples of Algebraic Geometry , a well-regarded textbook oncomplex algebraic geometry .[ 3]
Griffiths was elected to theNational Academy of Sciences in 1979 and theAmerican Philosophical Society in 1992.[ 4] [ 5] Wolf Prize (jointly withDeligne andMumford )[ 6] Brouwer Medal .[ 7] American Mathematical Society .[ 8] Leroy P. Steele Prize for Lifetime Achievement by the American Mathematical Society.[ 9] Chern Medal for lifetime devotion to mathematics and outstanding achievements.
Selected publications [ edit ] Griffiths, P. A. (1962)."On certain homogeneous complex manifolds" .Proc Natl Acad Sci U S A .48 (5):780– 783.Bibcode :1962PNAS...48..780G .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.Bibcode :1963PNAS...49..817G .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.Bibcode :1966PNAS...55.1303G .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.Bibcode :1966PNAS...55.1392G .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.Bibcode :1966PNAS...56..413G .doi :10.1073/pnas.56.2.413 PMC 224387 PMID 16591369 . "A transcendental method in algebraic geometry" (PDF) .Actes, Congrès intern. math. 1970 . Vol. Tome 1. pp. 113– 119. Archived fromthe original (PDF) on December 28, 2013. RetrievedMarch 15, 2014 .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.Bibcode :1975InMat..29..245D .doi :10.1007/BF01389853 .MR 0382702 .S2CID 1357812 .with Joe Harris:Griffiths, Phillip; Harris, Joe (1977). "A Poncelet theorem in space".Comment. Math. Helv. 52 :145– 160.doi :10.1007/bf02567361 .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.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 , withMark Green and Matt Kerr, Princeton University Press, 2012,ISBN 978-0-691-154251 [ 10] Selected Works of Phillip A. Griffiths with Commentary . Vol. 4 vols. American Mathematical Soc. 2003.Griffiths, Phillip; Cornalba, Maurizio (2003).vol. 1 ISBN 0-8218-2086-9 Griffiths, Phillip; Cornalba, Maurizio (2003).vol. 2 . American Mathematical Soc.ISBN 0-8218-2087-7 Griffiths, Phillip; Cornalba, Maurizio (2003).vol. 3 ISBN 0-8218-2088-5 Griffiths, Phillip; Cornalba, Maurizio (2003).vol. 4 . American Mathematical Society.ISBN 0-8218-2089-3 Exterior differential systems and Euler-Lagrange partial differential equations , withRobert Bryant and Daniel Grossman, University of Chicago Press, 2003,ISBN 0-226-07793-4 ISBN 0-226-07794-2 [ 11] 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 [ 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 , withJohn W. Morgan , Birkhäuser, Boston, 1981,ISBN 3764330414 [ 13] Principles of Algebraic Geometry , withJoe Harris , Wiley, New York, 1978,ISBN 0471327921 [ 14] Entire Holomorphic Mappings in One and Several Complex Variables ,Princeton University Press , Princeton, NJ, 1976,ISBN 0691081719 [ 15] ^ Griffith, Phillip (1962)."On certain homogeneous complex manifolds" .Proceedings of the National Academy of Sciences .48 (5):780– 3.Bibcode :1962PNAS...48..780G .doi :10.1073/pnas.48.5.780 PMC 220851 PMID 16590943 . ^a b c d e "Phillip A. Griffiths" .Institute for Advanced Study . December 9, 2019. RetrievedSeptember 11, 2020 .^ Review: Phillip Griffiths and Joseph Harris, Principles of algebraic geometry byJoseph Lipman ^ "Phillip A. Griffiths" .www.nasonline.org . RetrievedMarch 28, 2022 .^ "APS Member History" .search.amphilsoc.org . RetrievedMarch 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" . Archived fromthe original on February 16, 2016. RetrievedFebruary 9, 2016 .^ List of Fellows of the American Mathematical Society , retrieved January 19, 2013.^ AMS Steele Prizes ,^ Pearlstein, Gregory (2015)."Review ofMumford–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 ofExterior differential systems and Euler-Lagrange partial differential equations by Robert Bryant, Phillip Griffiths, and Daniel Grossman" .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) .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) .Bulletin of the American Mathematical Society 8 (3):496– 498.doi :10.1090/s0273-0979-1983-15135-2 ^ Lipman, Joseph (1980)."Review ofPrinciples of algebraic geometry by Phillip Griffiths and Joseph Harris" .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) .Bulletin of the American Mathematical Society 83 (5):942– 946.doi :10.1090/s0002-9904-1977-14330-9
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