Victor Guillemin

Victor William Guillemin (* 1937 in Boston ) is an American mathematician who studies symplectic geometry , differential topology , differential equations, and mathematical physics.

Guillemin received his doctorate in 1962 under Shlomo Sternberg at Harvard University ( Theory of Finite Structures ${\ displaystyle G}$ ). He was then a professor at the Massachusetts Institute of Technology (MIT). In 1969 he received a research grant from the Alfred P. Sloan Foundation ( Sloan Research Fellowship ).

In 1983 he was elected to the American Academy of Arts and Sciences and in 1985 to the National Academy of Sciences . In 2003 he received the Leroy P. Steele Prize for Lifetime Achievement.

Guillemin is considered a leading scientist in symplectic geometry and differential topology.

Martin Golubitsky and Alan Pollack are among his PhD students . With Pollack, he wrote a textbook on differential topology that is widely used in the United States. In 1970 he was invited speaker at the International Congress of Mathematicians in Nice ( On subelliptic estimates for complexes ). He is a fellow of the American Mathematical Society .

Fonts

with Shlomo Sternberg: Geometric Asymptotics. AMS, 1977.
with Sternberg: Symplectic Techniques in Physics. Cambridge University Press 1984, 1990.
with Alan Pollack: Differential Topology. Prentice Hall 1974, ISBN 0132126052 .
with Golubitsky: Stable mappings and their singularities. Springer 1973.
The story of quantum mechanics. Dover 2003.
Moment Maps and Combinatorial Invariants of Hamiltonian Spaces. ${\ displaystyle T ^ {n}}$ Birkhäuser 1994, ISBN 978-0-8176-3770-5 .
with Shlomo Sternberg: Supersymmetry and equivariant de Rham Cohomology. Springer 2007.
with Sternberg, Lerman: Symplectic fibrations and multiplicity diagrams. Cambridge University Press 1996.
with Viktor L. Ginzburg, Yael Karshon: Moment Maps, Cobordisms and Hamiltonian Group Actions. Oxford University Press 1997.
with Louis Boutet de Monvel : Spectral Theory of Toeplitz Operators. Annals of Mathematical Studies, Princeton 1981.
with Malcolm Adams: Measure Theory and Probability. Kluwer 1986.
with Masaki Kashiwara , Takahiro Kawai: Seminar on Microlocal Analysis. Annals of Mathematical Studies, Princeton 1979.
Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of . ${\ displaystyle M_ {2,1}}$ Annals of Mathematical Studies, Princeton, 1989.
with S. Sternberg: Convexity properties of the moment mapping, Invent. Math., Vol. 67, 1982, pp. 491-513
with S. Sternberg, Geometric Quantization and Multiplicities of group representations, Invent. Math., Vol. 67, 1982, pp. 515-538
with Duistermaat: The spectrum of positive elliptic operators and periodic bicharacteristics, Inv. Math., Vol. 29, 1975, pp. 39-79

Web links

Literature by and about Victor Guillemin in the catalog of the German National Library

Individual evidence

↑ Victor Guillemin in the Mathematics Genealogy Project (English)

personal data
SURNAME	Guillemin, Victor
ALTERNATIVE NAMES	Guillemin, Victor William (full name)
BRIEF DESCRIPTION	American mathematician
DATE OF BIRTH	1937
PLACE OF BIRTH	Boston

[1] Victor Guillemin in the Mathematics Genealogy Project (English)