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 is a major developer in particular of the theory of variation of Hodge structure in Hodge theory and 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.
Phillip Griffiths | |
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Born | |
Alma mater | Wake Forest College (BS) Princeton University (PhD) |
Known for | complex algebraic geometry complex differential geometry variations of Hodge moduli 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 |
He received his BS from Wake Forest College in 1959 and his PhD from Princeton University in 1962 after completing a doctoral dissertation, titled "On certain homogeneous complex manifolds", under the supervision of Donald Spencer.[1] Afterwards, he held positions at University of California, Berkeley (1962–1967) and Princeton University (1967–1972).[citation needed] Griffiths was a professor of mathematics at Harvard University from 1972 to 1983.[2] He was then a Provost and James B. Duke Professor of Mathematics at Duke University from 1983 to 1991.[2] From 1991 to 2003, he was the Director of the Institute for Advanced Study (IAS) in Princeton, New Jersey.[2] He remained as part of the Faculty of Mathematics at the IAS until June 2009, after which he has been emeritus at the IAS.[2] 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.[2] He is co-author, with Joe Harris, of Principles of Algebraic Geometry, a well-regarded textbook on complex algebraic geometry.[3]
Griffiths was elected to the National Academy of Sciences in 1979 and the American Philosophical Society in 1992.[4][5] In 2008 he was awarded the Wolf Prize (jointly with 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.