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Victor Guillemin

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For other people with the same name, see Guillemin.

Victor William Guillemin (born 1937 in Boston) is a mathematician working in the field of symplectic geometry, who has also made contributions to the fields of microlocal analysis, spectral theory, and mathematical physics. He is a tenured Professor in the Department of Mathematics at the Massachusetts Institute of Technology.

Professional career

Guillemin received a Ph.D. in mathematics from Harvard University in 1962,[1][2] after earlier completing his B. A. at Harvard in 1959, as well as an M. A. at the University of Chicago in 1960. His thesis, entitled Theory of Finite G-Structures, was written under the direction of Shlomo Sternberg.

He is the author or co-author of numerous books and monographs, including a widely used textbook[3] on differential topology, written jointly with Alan Pollack.

Awards and honors

He was elected to the United States National Academy of Sciences in 1985.[4] In 2003, he was awarded the Leroy P. Steele Prize for Lifetime Achievement by the American Mathematical Society.[5] In 2012 he became a fellow of the American Mathematical Society.[6]

Selected publications

  • Guillemin, Victor & Pollack, Alan (1974). Differential topology. New York, NY: Prentice-Hall. ISBN 978-0-13-212605-2.
  • Golubitsky, Martin and Guillemin, Victor (1974). Stable mappings and their singularities. New York, NY: Springer-Verlag. ISBN 978-0-387-90073-5.{{cite book}}: CS1 maint: multiple names: authors list (link)[7]
  • Guillemin, Victor & Sternberg, Shlomo (1977). Geometric asymptotics. Providence, RI: American Mathematical Society. ISBN 0-8218-1514-8.;[8] reprinted in 1990 as an on-line book
  • Guillemin, V.: "The Radon transform on Zoll surfaces". Advances in Mathematics 22 (1976), 85–119.
  • Guillemin, Victor & Sternberg, Shlomo (1986). Symplectic techniques in physics. Cambridge U. Press. ISBN 0-521-24866-3; xi+468 p.{{cite book}}: CS1 maint: postscript (link)[9]
  • Guillemin, Victor (1989). Cosmology in (2+1)-dimensions, cyclic models, and deformations of M2,1 by Victor Guillemin. Princeton, N.J.: Princeton University Press. ISBN 0-691-08513-7.[10]

See also

Zoll surface

References

  1. ^ Mathematics Genealogy Project. https://genealogy.math.ndsu.nodak.edu/id.php?id=26899
  2. ^ MIT Department of Mathematics Website. https://math.mit.edu/directory/profile.php?pid=87
  3. ^ Guillemin, Victor; Pollack, Alan Differential topology. Prentice-Hall, Inc., Englewood Cliffs, N.J., 1974.
  4. ^ National Academy of Sciences, Victor Guillemin, Mathematics, 1985
  5. ^ American Mathematical Society, Leroy P. Steele Prizes, January 2003
  6. ^ List of Fellows of the American Mathematical Society, retrieved 2013-01-19.
  7. ^ Levine, Harold (1975). "Review of Analyse différentielle by Valentin Poenaru and Stable mappings and their singularities by M. Golubitsky and V. Guillemin" (PDF). Bull. Amer. Math. Soc. 81 (5): 872–881. doi:10.1090/s0002-9904-1975-13868-7.
  8. ^ Marsden, Jerrold E.; Weinstein, Alan (1979). "Review of Geometric asymptotics by Victor Guillemin and Shlomo Sternberg and Symplectic geometry and Fourier analysis by Nolan R. Wallach" (PDF). Bull. Amer. Math. Soc. (N.S.). 1 (3): 545–553. doi:10.1090/s0273-0979-1979-14617-2.
  9. ^ Duistermaat, J. J. (1988). "Review: Symplectic techniques in physics, by Victor Guillemin and Shlomo Sternberg" (PDF). Bull. Amer. Math. Soc. (N.S.). 18 (1): 97–100. doi:10.1090/s0273-0979-1988-15620-0.
  10. ^ Beem, John K. (1990). "Review of Cosmology in (2+1)-dimensions, cyclic models, and deformations of M2,1 by Victor Guillemin" (PDF). Bull. Amer. Math. Soc. (N.S.). 23 (2): 616–617. doi:10.1090/s0273-0979-1990-16002-1.


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