Victor 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. Education and career Guillemin obtained a B.A. at Harvard University in 1959, as well as an M. A. at the University of Chicago in 1960. 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. 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. Awards and honors Guillemin was awarded in 1969 a Sloan Research Fellowship, in 1988 a Guggenheim fellowship and in 1996 a Humboldt fellowship. In 1970 he was invited speaker at th ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Boston
Boston is the capital and most populous city in the Commonwealth (U.S. state), Commonwealth of Massachusetts in the United States. The city serves as the cultural and Financial centre, financial center of New England, a region of the Northeastern United States. It has an area of and a population of 675,647 as of the 2020 United States census, 2020 census, making it the third-largest city in the Northeastern United States after New York City and Philadelphia. The larger Greater Boston metropolitan statistical area has a population of 4.9 million as of 2023, making it the largest metropolitan area in New England and the Metropolitan statistical area, eleventh-largest in the United States. Boston was founded on Shawmut Peninsula in 1630 by English Puritans, Puritan settlers, who named the city after the market town of Boston, Lincolnshire in England. During the American Revolution and American Revolutionary War, Revolutionary War, Boston was home to several seminal events, incl ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Symplectic Geometry
Symplectic geometry is a branch of differential geometry and differential topology that studies symplectic manifolds; that is, differentiable manifolds equipped with a closed, nondegenerate 2-form. Symplectic geometry has its origins in the Hamiltonian formulation of classical mechanics where the phase space of certain classical systems takes on the structure of a symplectic manifold. The term "symplectic", introduced by Hermann Weyl, is a calque of "complex"; previously, the "symplectic group" had been called the "line complex group". "Complex" comes from the Latin ''com-plexus'', meaning "braided together" (co- + plexus), while symplectic comes from the corresponding Greek ''sym-plektikos'' (συμπλεκτικός); in both cases the stem comes from the Indo-European root *pleḱ- The name reflects the deep connections between complex and symplectic structures. By Darboux's theorem, symplectic manifolds are isomorphic to the standard symplectic vector space locally, ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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John Simon Guggenheim Memorial Foundation
The John Simon Guggenheim Memorial Foundation is a private foundation formed in 1925 by Olga and Simon Guggenheim in memory of their son, who died on April 26, 1922. The organization awards Guggenheim Fellowship Guggenheim Fellowships are Grant (money), grants that have been awarded annually since by the John Simon Guggenheim Memorial Foundation, endowed by the late Simon Guggenheim, Simon and Olga Hirsh Guggenheim. These awards are bestowed upon indiv ...s to professionals who have demonstrated exceptional ability by publishing a significant body of work in the fields of natural sciences, social sciences, humanities, and the creative arts, excluding the performing arts. References External linksJohn Simon Guggenheim Memorial Foundation Fou ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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List Of Guggenheim Fellowships Awarded In 1988
Guggenheim Fellowships were awarded in 1988 to 280 people. A * Marilyn McCord Adams * Chester A. Alper * Joel B. Altman * Patricia Rieff Anawalt * Stephen R. Anderson * T. J. Anderson * Richard N. Aslin B * Annette C. Baier * Bonnie J. Blackburn *Brent Berlin * Carl David Benson *Christopher Benfey * Edward Bradford Burns * Eileen Blumenthal * Fakhri A. Bazzaz * Howard Brenner *James Lee Burke * Jeanne Bamberger * Jonathan French Beecher * Lee Knowlton Blessing * Leland S. Burns * Michael Brewster * Michael C. Blumenthal * Philip Benedict * Robert Turner Boyd * Roger David Blandford *Ross Bauer * Sara Sweezy Berry * Steve Brand * Suzanne Blier *T. Coraghessan Boyle * Thomas A. Brady C * William A. Camfield *Jay Cantor * Jack Carnell * Arnaldo Córdova *Sucheng Chan * Jerome Colin Christensen * Elizabeth Ann Clark * Carmine Domenic Clemente *Carol J. Clover * Robert Brady Cochran II * Alan Dodd Code * Richard John Cole * Jules L. Coleman * Roy Colmer *Antoine Compagnon * ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Alfred P
Alfred may refer to: Arts and entertainment *'' Alfred J. Kwak'', Dutch-German-Japanese anime television series * ''Alfred'' (Arne opera), a 1740 masque by Thomas Arne * ''Alfred'' (Dvořák), an 1870 opera by Antonín Dvořák *"Alfred (Interlude)" and "Alfred (Outro)", songs by Eminem from the 2020 album '' Music to Be Murdered By'' Business and organisations * Alfred, a radio station in Shaftesbury, England * Alfred Music, an American music publisher * Alfred University, New York, U.S. * The Alfred Hospital, a hospital in Melbourne, Australia People * Alfred (name) includes a list of people and fictional characters called Alfred * Alfred the Great (848/49 – 899), or Alfred I, a king of the West Saxons and of the Anglo-Saxons Places Antarctica * Mount Alfred (Antarctica) Australia * Alfredtown, New South Wales * County of Alfred, South Australia Canada * Alfred and Plantagenet, Ontario ** Alfred, Ontario, a community in Alfred and Plantagenet * Alfred Island, Nunavu ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Columbia University
Columbia University in the City of New York, commonly referred to as Columbia University, is a Private university, private Ivy League research university in New York City. Established in 1754 as King's College on the grounds of Trinity Church (Manhattan), Trinity Church in Manhattan, it is the oldest institution of higher education in New York (state), New York and the fifth-First university in the United States, oldest in the United States. Columbia was established as a Colonial colleges, colonial college by royal charter under George II of Great Britain. It was renamed Columbia College (New York), Columbia College in 1784 following the American Revolution, and in 1787 was placed under Trustees of Columbia University in the City of New York, a private board of trustees headed by former students Alexander Hamilton and John Jay. In 1896, the campus was moved to its current location in Morningside Heights and renamed Columbia University. Columbia is organized into twenty schoo ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Mathematics Genealogy Project
The Mathematics Genealogy Project (MGP) is a web-based database for the academic genealogy of mathematicians.. it contained information on 300,152 mathematical scientists who contributed to research-level mathematics. For a typical mathematician, the project entry includes graduation year, thesis title (in its Mathematics Subject Classification), '' alma mater'', doctoral advisor, and doctoral students.. Origin of the database The project grew out of founder Harry Coonce's desire to know the name of his advisor's advisor.. Coonce was Professor of Mathematics at Minnesota State University, Mankato, at the time of the project's founding, and the project went online there in the autumn of 1997.Mulcahy, Colm;The Mathematics Genealogy Project Comes of Age at Twenty-one(PDF) AMS Notices (May 2017) Coonce retired from Mankato in 1999, and in the autumn of 2002 the university decided that it would no longer support the project. The project relocated at that time to North Dakota State ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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G-structure On A Manifold
In differential geometry, a ''G''-structure on an ''n''-manifold ''M'', for a given structure group ''G'', is a principal ''G''- subbundle of the tangent frame bundle F''M'' (or GL(''M'')) of ''M''. The notion of ''G''-structures includes various classical structures that can be defined on manifolds, which in some cases are tensor fields. For example, for the orthogonal group, an O(''n'')-structure defines a Riemannian metric, and for the special linear group an SL(''n'',R)-structure is the same as a volume form. For the trivial group, an -structure consists of an absolute parallelism of the manifold. Generalising this idea to arbitrary principal bundles on topological spaces, one can ask if a principal G-bundle over a group G "comes from" a subgroup H of G. This is called reduction of the structure group (to H). Several structures on manifolds, such as a complex structure, a symplectic structure, or a Kähler structure, are ''G''-structures with an additional integrab ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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University Of Chicago
The University of Chicago (UChicago, Chicago, or UChi) is a Private university, private research university in Chicago, Illinois, United States. Its main campus is in the Hyde Park, Chicago, Hyde Park neighborhood on Chicago's South Side, Chicago, South Side, near the shore of Lake Michigan about from Chicago Loop, the Loop. The university is composed of an College of the University of Chicago, undergraduate college and four graduate divisions: Biological Science, Arts & Humanities, Physical Science, and Social Science, which include various organized departments and institutes. In addition, the university operates eight professional schools in the fields of University of Chicago Booth School of Business, business, Crown Family School of Social Work, Policy, and Practice, social work, University of Chicago Divinity School, divinity, Graham School of Continuing Liberal and Professional Studies, continuing studies, Harris School of Public Policy, public policy, University of Chi ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Master Of Arts
A Master of Arts ( or ''Artium Magister''; abbreviated MA or AM) is the holder of a master's degree awarded by universities in many countries. The degree is usually contrasted with that of Master of Science. Those admitted to the degree have typically studied subjects within the scope of the humanities and social sciences, such as history, literature, languages, linguistics, public administration, political science, communication studies, law or diplomacy; however, different universities have different conventions and may also offer the degree for fields typically considered within the natural sciences and mathematics. The degree can be conferred in respect of completing courses and passing examinations, research, or a combination of the two. The degree of Master of Arts traces its origins to the teaching license or of the University of Paris, designed to produce "masters" who were graduate teachers of their subjects. Europe Czech Republic and Slovakia Like all EU membe ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Bachelor Of Arts
A Bachelor of Arts (abbreviated B.A., BA, A.B. or AB; from the Latin ', ', or ') is the holder of a bachelor's degree awarded for an undergraduate program in the liberal arts, or, in some cases, other disciplines. A Bachelor of Arts degree course is generally completed in three or four years, depending on the country and institution. * Degree attainment typically takes five or more years in Argentina, Brazil, Chile, and Peru. * Degree attainment typically takes four years in Afghanistan, Armenia, Azerbaijan, Bangladesh, Brunei, Bulgaria, Canada (except Quebec), China, Egypt, Finland, Georgia, Ghana, Greece, Hong Kong, Indonesia, India, Iran, Iraq, Ireland, Jamaica, Japan, Kazakhstan, Kenya, Kuwait, Latvia, Lebanon, Lithuania, Malaysia, Mexico, Mongolia, Myanmar, Nepal, the Netherlands, Nigeria, Pakistan, the Philippines, Qatar, Russia, Saudi Arabia, Scotland, Serbia, Singapore, South Africa, South Korea, Spain, Sri Lanka, Taiwan, Thailand, Turkey, Ukraine, the United S ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Notices Of The American Mathematical Society
''Notices of the American Mathematical Society'' is the membership journal of the American Mathematical Society (AMS), published monthly except for the combined June/July issue. The first volume was published in 1953. Each issue of the magazine since January 1995 is available in its entirety on the journal web site. Articles are peer-reviewed by an editorial board of mathematical experts. Beginning with the January 2025 issue, the editor-in-chief is Mark C. Wilson, succeeding past editor Erica Flapan. The cover regularly features mathematical visualizations. The ''Notices'' is self-described to be the world's most widely read mathematical journal. As the membership journal of the American Mathematical Society, the ''Notices'' is sent to the approximately 30,000 AMS members worldwide, one-third of whom reside outside the United States. By publishing high-level exposition, the ''Notices'' provides opportunities for mathematicians to find out what is going on in the field. Each is ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |