From Wikipedia, the free encyclopedia
American mathematician
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 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.
Professional career
[
edit
]
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]
Awards and honors
[
edit
]
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.
Selected publications
[
edit
]
Articles
[
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, Congres intern. math. 1970
. Vol. 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 Kahler 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).
"Poincare and algebraic geometry"
.
Bull. Amer. Math. Soc. (N.S.)
.
6
(2): 147?159.
doi
:
10.1090/s0273-0979-1982-14967-9
.
MR
0640942
.
Books
[
edit
]
- Mumford?Tate groups and domains: their geometry and arithmetic
, with
Mark 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.
in pbk:
Griffiths, Phillip; Cornalba, Maurizio (2003).
vol. 1
.
ISBN
0-8218-2086-9
.
Griffiths, Phillip; Cornalba, Maurizio (2003).
vol. 2
.
ISBN
0-8218-2087-7
.
Griffiths, Phillip; Cornalba, Maurizio (2003).
vol. 3
.
ISBN
0-8218-2088-5
.
Griffiths, Phillip; Cornalba, Maurizio (2003).
vol. 4
.
ISBN
0-8218-2089-3
.
- 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
[11]
- 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
[12]
- Topics in Transcendental Algebraic Geometry
, Princeton University Press, Princeton, NJ, 1984,
ISBN
0691083355
- Exterior Differential Systems and the Calculus of Variations
, Birkhauser, Boston, 1983,
ISBN
3764331038
- Rational Homotopy Theory and Differential Forms
, with
John W. Morgan
, Birkhauser, Boston, 1981,
ISBN
3764330414
[13]
- Principles of Algebraic Geometry
, with
Joe 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]
References
[
edit
]
- ^
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
. Retrieved
September 11,
2020
.
- ^
Review: Phillip Griffiths and Joseph Harris, Principles of algebraic geometry
by
Joseph Lipman
- ^
"Phillip A. Griffiths"
.
www.nasonline.org
. Retrieved
March 28,
2022
.
- ^
"APS Member History"
.
search.amphilsoc.org
. Retrieved
March 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
- ^
List of Fellows of the American Mathematical Society
, retrieved January 19, 2013.
- ^
AMS Steele 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"
.
Bulletin of the American Mathematical Society
. (N.S.).
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
. (N.S.).
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
. (N.S.).
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"
.
Bulletin of the American Mathematical Society
. (N.S.).
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
. (N.S.).
83
(5): 942?946.
doi
:
10.1090/s0002-9904-1977-14330-9
.
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