Victor W. Guillemin | |
---|---|
Born | 1937 (age 86–87) |
Alma mater | Harvard University |
Children | Karen Guillemin |
Awards | Sloan Research Fellowship (1969) Guggenheim Fellowship (1988) Humboldt fellowship (1996) Leroy P. Steele Prize (2003) |
Scientific career | |
Fields | Differential geometry |
Institutions | Massachusetts Institute of Technology |
Thesis | Theory of Finite G-Structures (1962) |
Doctoral advisor | Shlomo Sternberg |
Doctoral students | Ana Cannas da Silva Rebecca Goldin Marty Golubitsky Tara S. Holm Allen Knutson Gunther Uhlmann |
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]
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]
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]
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]
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.
{{cite book}}
: CS1 maint: multiple names: authors list (link) [14] {{cite book}}
: CS1 maint: postscript (link) [16] Israel Moiseevich Gelfand, also written Israïl Moyseyovich Gel'fand, or Izrail M. Gelfand was a prominent Soviet-American mathematician. He made significant contributions to many branches of mathematics, including group theory, representation theory and functional analysis. The recipient of many awards, including the Order of Lenin and the first Wolf Prize, he was a Foreign Fellow of the Royal Society and professor at Moscow State University and, after immigrating to the United States shortly before his 76th birthday, at Rutgers University. Gelfand is also a 1994 MacArthur Fellow.
Anatoly Timofeevich Fomenko is a mathematician, professor at Moscow State University, well-known as a topologist, and a member of the Russian Academy of Sciences. He is the author of a fictitious pseudoscientific history known as New Chronology, based on works of Russian-Soviet writer Nikolai Alexandrovich Morozov. He is also a member of the Russian Academy of Natural Sciences (1991).
Sir Simon Kirwan Donaldson is an English mathematician known for his work on the topology of smooth (differentiable) four-dimensional manifolds, Donaldson–Thomas theory, and his contributions to Kähler geometry. He is currently a permanent member of the Simons Center for Geometry and Physics at Stony Brook University in New York, and a Professor in Pure Mathematics at Imperial College London.
Yuri Ivanovich Manin was a Russian mathematician, known for work in algebraic geometry and diophantine geometry, and many expository works ranging from mathematical logic to theoretical physics.
Joseph Hillel Silverman is a professor of mathematics at Brown University working in arithmetic geometry, arithmetic dynamics, and cryptography.
Bertram Kostant was an American mathematician who worked in representation theory, differential geometry, and mathematical physics.
Phillip Augustus Griffiths IV 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.
Shlomo Zvi Sternberg, is an American mathematician known for his work in geometry, particularly symplectic geometry and Lie theory.
Gerald Budge Folland is an American mathematician and a professor of mathematics at the University of Washington. He is the author of several textbooks on mathematical analysis. His areas of interest include harmonic analysis, differential equations, and mathematical physics. The title of his doctoral dissertation at Princeton University (1971) is "The Tangential Cauchy-Riemann Complex on Spheres".
János Kollár is a Hungarian mathematician, specializing in algebraic geometry.
Sigurdur Helgason was an Icelandic mathematician whose research has been devoted to the geometry and analysis on symmetric spaces. In particular, he has used new integral geometric methods to establish fundamental existence theorems for differential equations on symmetric spaces as well as some new results on the representations of their isometry groups. He also introduced a Fourier transform on these spaces and proved the principal theorems for this transform, the inversion formula, the Plancherel theorem and the analog of the Paley–Wiener theorem.
Robert Leamon Bryant is an American mathematician. He works at Duke University and specializes in differential geometry.
Johannes Jisse (Hans) Duistermaat was a Dutch mathematician.
Maciej Zworski is a Polish-Canadian mathematician, currently a professor of mathematics at the University of California, Berkeley. His mathematical interests include microlocal analysis, scattering theory, and partial differential equations.
Onorato Timothy O'Meara was an American mathematician known for his work in number theory, linear groups and quadratic forms. He was provost emeritus and professor emeritus of mathematics at the University of Notre Dame.
Nolan Russell Wallach is a mathematician known for work in the representation theory of reductive algebraic groups. He is the author of the 2-volume treatise Real Reductive Groups.
Raymond O'Neil Wells Jr., "Ronny", is an American mathematician, working in complex analysis in several variables as well as wavelets.
Michael Eugene Taylor is an American mathematician, working in partial differential equations.
James Edward Humphreys was an American mathematician who worked in algebraic groups, Lie groups, and Lie algebras and applications of these mathematical structures. He is known as the author of several mathematical texts, such as Introduction to Lie Algebras and Representation Theory and Reflection Groups and Coxeter Groups.
Dietmar Arno Salamon is a German mathematician.