Victor Guillemin

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

Guillemin in 1962 received his doctorate in Shlomo Sternberg at Harvard University ( Theory of Finite -Structures ). After that, he was a professor at the Massachusetts Institute of Technology (MIT).

In 1985 he was elected 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.

His doctoral counts Martin Golubitsky and Alan Pollack. With Pollack, he wrote a textbook on differential topology, which is used in the U.S. a lot. 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.

Writings

  • With Shlomo Sternberg: Geometric Asymptotics. AMS, 1977.
  • With Sternberg: Symplectic Techniques in Physics. Cambridge University Press 1984, 1990.
  • Alan Pollack: Differential Topology. Prentice Hall 1974 ISBN 0,132,126,052th
  • With Golubitsky: Stable mappings and Their singularities. Springer 1973.
  • The story of quantum mechanics. Dover 2003.
  • Moment Maps and Combinatorial Invariants of Hamiltonian spaces. 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.
  • Viktor L. Ginzburg, Yael Karshon: Moment Maps and Hamiltonian Group Actions Cobordisms. Oxford University Press, 1997.
  • Boutet de Monvel with Louis: Spectral Theory of Toeplitz Operators. Annals of Mathematical Studies, Princeton 1981.
  • Malcolm Adams: Measure Theory and Probability. Kluwer 1986.
  • Masaki Kashiwara with, Takahiro Kawai: Seminar on Micro Local Analysis. Annals of Mathematical Studies, Princeton 1979.
  • Cosmology in (2 1 ) - Dimensions, Cyclic Models, and Deformations of. Annals of Mathematical Studies, Princeton, 1989.
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