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Victor Guillemin

March 16, 2024

For other people with the same name, see Guillemin.

Victor William Guillemin (born 1937 in Boston) is an American mathematician. He works at the Massachusetts Institute of Technology in the field of symplectic geometry, and he has also made contributions to the fields of microlocal analysis, spectral theory, and mathematical physics. [1][2]

Education and career edit

Guillemin obtained a B.A. at Harvard University in 1959, as well as an M. A. at the University of Chicago in 1960.[2] He received a Ph.D. in mathematics from Harvard University in 1962; his dissertation, entitled Theory of Finite G-Structures, was written under the direction of Shlomo Sternberg.[3]

He worked at Columbia University from 1963 to 1966 and then moved to the Massachusetts Institute of Technology as assistant professor. He became associate professor in 1969 and full professor in 1973.[1][2]

Awards and honors edit

Guillemin was awarded in 1969 a Sloan Research Fellowship,[4] in 1988 a Guggenheim fellowship[5] and in 1996 a Humboldt fellowship.[6] In 1970 he was invited speaker at the International Congress of Mathematicians in Nice.[7]

He was elected a fellow of the American Academy of Arts and Sciences in 1984[8] and of the United States National Academy of Sciences in 1985.[9] In 2003, he was awarded the Leroy P. Steele Prize for Lifetime Achievement by the American Mathematical Society.[10][2] In 2012 he became a fellow of the American Mathematical Society.[11]

Research edit

Guillemin worked in several areas in analysis and geometry, including microlocal analysis, symplectic group actions, and spectral theory of elliptic operators on manifolds.[2]

He is the author or co-author of numerous books and monographs, including a widely used textbook on differential topology, written jointly with Alan Pollack in 1974, and a monograph on symplectic geometry in physics, written jointly with Shlomo Sternberg in 1986.[12][13]

Family edit

Victor Guillemins's uncle Ernst Guillemin was a Professor of Electrical Engineering and Computer Science at MIT, his younger brother Robert Charles Guillemin was a sidewalk artist, his brother-in-law Ray Raphael is an historian, and his daughter Karen Guillemin is a Professor of Biology at the University of Oregon.

Selected publications edit

  • 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)[14]
  • Guillemin, Victor & Sternberg, Shlomo (1977). Geometric asymptotics. Providence, RI: American Mathematical Society. ISBN 0-8218-1514-8.;[15] reprinted in 1990 as an on-line book
  • Guillemin, Victor (1976). "The Radon transform on Zoll surfaces". Advances in Mathematics. 22 (1): 85–119. doi:10.1016/0001-8708(76)90139-0.
  • 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)[16]
  • 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.[17]

See also edit

References edit

  1. ^ a b "Victor Guillemin | MIT Mathematics". archive.wikiwix.com. Retrieved 2023-09-17.
  2. ^ a b c d e "2003 Steele Prizes" (PDF). Notices of the American Mathematical Society. 50 (4): 462–467.
  3. ^ "Victor Guillemin". Mathematics Genealogy Project. Retrieved 2023-09-17.
  4. ^ "Fellows Database". Alfred P. Sloan Foundation. Retrieved 2023-07-16.
  5. ^ "Victor Guillemin". John Simon Guggenheim Memorial Foundation. Retrieved 2023-07-16.
  6. ^ "Prof. Dr. Victor Guillemin". Alexander von Humboldt Foundation. Retrieved 2023-09-17.
  7. ^ Proceedings of the International Congress of Mathematician 1970 (PDF). Vol. 2. Gauthier-Villars. 1971. p. 227.
  8. ^ "Victor William Guillemin". American Academy of Arts and Sciences. 2023-07-02. Retrieved 2023-07-16.
  9. ^ "Victor Guillemin". United States National Academy of Sciences. Retrieved 2023-09-17.
  10. ^ "Leroy P. Steele Prize for Lifetime Achievement (1993 - present)". American Mathematical Society. Retrieved 2023-09-17.
  11. ^ "Fellows of the American Mathematical Society". American Mathematical Society. Retrieved 2023-09-17.
  12. ^ van Moerbeke, P. (1986). "Review of the book "Symplectic Techniques in Physics" by Victor Guillemin and Shlomo Sternberg". Bulletin of the London Mathematical Society. 18 (6): 635. doi:10.1112/blms/18.6.635.
  13. ^ Duistermaat, J. J. (1988). "Review of the book "Symplectic techniques in physics" by Victor Guillemin and Shlomo Sternberg". Bulletin of the American Mathematical Society. 18 (1): 97–100. doi:10.1090/s0273-0979-1988-15620-0. Retrieved 2023-09-17.
  14. ^ 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.
  15. ^ 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.
  16. ^ 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.
  17. ^ 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.

External links edit

March 16, 2024
victor, guillemin, other, people, with, same, name, guillemin, victor, william, guillemin, born, 1937, boston, american, mathematician, works, massachusetts, institute, technology, field, symplectic, geometry, also, made, contributions, fields, microlocal, ana. For other people with the same name see Guillemin Victor William Guillemin born 1937 in Boston is an American mathematician He works at the Massachusetts Institute of Technology in the field of symplectic geometry and he has also made contributions to the fields of microlocal analysis spectral theory and mathematical physics 1 2 Victor W GuilleminBorn1937 age 86 87 BostonAlma materHarvard UniversityChildrenKaren GuilleminAwardsSloan Research Fellowship 1969 Guggenheim Fellowship 1988 Humboldt fellowship 1996 Leroy P Steele Prize 2003 Scientific careerFieldsDifferential geometryInstitutionsMassachusetts Institute of TechnologyThesisTheory of Finite G Structures 1962 Doctoral advisorShlomo SternbergDoctoral studentsAna Cannas da SilvaRebecca GoldinMarty GolubitskyTara S HolmAllen KnutsonGunther Uhlmann Contents 1 Education and career 2 Awards and honors 3 Research 4 Family 5 Selected publications 6 See also 7 References 8 External linksEducation and career editGuillemin obtained a B A at Harvard University in 1959 as well as an M A at the University of Chicago in 1960 2 He received a Ph D in mathematics from Harvard University in 1962 his dissertation entitled Theory of Finite G Structures was written under the direction of Shlomo Sternberg 3 He worked at Columbia University from 1963 to 1966 and then moved to the Massachusetts Institute of Technology as assistant professor He became associate professor in 1969 and full professor in 1973 1 2 Awards and honors editGuillemin was awarded in 1969 a Sloan Research Fellowship 4 in 1988 a Guggenheim fellowship 5 and in 1996 a Humboldt fellowship 6 In 1970 he was invited speaker at the International Congress of Mathematicians in Nice 7 He was elected a fellow of the American Academy of Arts and Sciences in 1984 8 and of the United States National Academy of Sciences in 1985 9 In 2003 he was awarded the Leroy P Steele Prize for Lifetime Achievement by the American Mathematical Society 10 2 In 2012 he became a fellow of the American Mathematical Society 11 Research editGuillemin worked in several areas in analysis and geometry including microlocal analysis symplectic group actions and spectral theory of elliptic operators on manifolds 2 He is the author or co author of numerous books and monographs including a widely used textbook on differential topology written jointly with Alan Pollack in 1974 and a monograph on symplectic geometry in physics written jointly with Shlomo Sternberg in 1986 12 13 Family editVictor Guillemins s uncle Ernst Guillemin was a Professor of Electrical Engineering and Computer Science at MIT his younger brother Robert Charles Guillemin was a sidewalk artist his brother in law Ray Raphael is an historian and his daughter Karen Guillemin is a Professor of Biology at the University of Oregon Selected publications editGuillemin Victor amp 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 a href Template Cite book html title Template Cite book cite book a CS1 maint multiple names authors list link 14 Guillemin Victor amp Sternberg Shlomo 1977 Geometric asymptotics Providence RI American Mathematical Society ISBN 0 8218 1514 8 15 reprinted in 1990 as an on line book Guillemin Victor 1976 The Radon transform on Zoll surfaces Advances in Mathematics 22 1 85 119 doi 10 1016 0001 8708 76 90139 0 Guillemin Victor amp Sternberg Shlomo 1986 Symplectic techniques in physics Cambridge U Press ISBN 0 521 24866 3 xi 468 p a href Template Cite book html title Template Cite book cite book a CS1 maint postscript link 16 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 17 See also editZoll surfaceReferences edit a b Victor Guillemin MIT Mathematics archive wikiwix com Retrieved 2023 09 17 a b c d e 2003 Steele Prizes PDF Notices of the American Mathematical Society 50 4 462 467 Victor Guillemin Mathematics Genealogy Project Retrieved 2023 09 17 Fellows Database Alfred P Sloan Foundation Retrieved 2023 07 16 Victor Guillemin John Simon Guggenheim Memorial Foundation Retrieved 2023 07 16 Prof Dr Victor Guillemin Alexander von Humboldt Foundation Retrieved 2023 09 17 Proceedings of the International Congress of Mathematician 1970 PDF Vol 2 Gauthier Villars 1971 p 227 Victor William Guillemin American Academy of Arts and Sciences 2023 07 02 Retrieved 2023 07 16 Victor Guillemin United States National Academy of Sciences Retrieved 2023 09 17 Leroy P Steele Prize for Lifetime Achievement 1993 present American Mathematical Society Retrieved 2023 09 17 Fellows of the American Mathematical Society American Mathematical Society Retrieved 2023 09 17 van Moerbeke P 1986 Review of the book Symplectic Techniques in Physics by Victor Guillemin and Shlomo Sternberg Bulletin of the London Mathematical Society 18 6 635 doi 10 1112 blms 18 6 635 Duistermaat J J 1988 Review of the book Symplectic techniques in physics by Victor Guillemin and Shlomo Sternberg Bulletin of the American Mathematical Society 18 1 97 100 doi 10 1090 s0273 0979 1988 15620 0 Retrieved 2023 09 17 Levine Harold 1975 Review of Analyse differentielle 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 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 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 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 External links editVictor Guillemin at the Mathematics Genealogy Project Victor Guillemin s personal web page Retrieved from https en wikipedia org w index php title Victor Guillemin amp oldid 1194959832, wikipedia, wiki, book, books, library,

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