| 词条 | Dennis Sullivan |
| 释义 |
| name = Dennis Parnell Sullivan | image = Dennis Sullivan at MSRI.jpg | image_size = 225px | caption = | birth_date = {{birth date and age|1941|2|12}} | birth_place = Port Huron, Michigan | death_date = | death_place = | nationality = American | fields = Mathematics | workplaces = City University of New York Stony Brook University | alma_mater = Princeton University Rice University | doctoral_advisor = William Browder | doctoral_students = Harold Abelson Curtis T. McMullen | known_for = Work in topology, dynamical systems | awards = Balzan Prize (2014) Wolf Prize in Mathematics (2010) Leroy P. Steele Prize (2006) National Medal of Science (2004) Oswald Veblen Prize in Geometry (1971) }} Dennis Parnell Sullivan (born February 12, 1941[1]) is an American mathematician. He is known for work in topology, both algebraic and geometric, and on dynamical systems. He holds the Albert Einstein Chair at the City University of New York Graduate Center, and is a professor at Stony Brook University. Work in topologyHe received his B.A. in 1963 from Rice University and his doctorate in 1966 from Princeton University. His Ph.D. thesis, entitled Triangulating homotopy equivalences, was written under the supervision of William Browder, and was a contribution to surgery theory. He was a permanent member of the Institut des Hautes Études Scientifiques from 1974 to 1997. Sullivan is one of the founders of the surgery method of classifying high-dimensional manifolds, along with Browder, Sergei Novikov and C. T. C. Wall. In homotopy theory, Sullivan put forward the radical concept that spaces could directly be localised, a procedure hitherto applied to the algebraic constructs made from them. He founded (along with Daniel Quillen) rational homotopy theory. The Sullivan conjecture, proved in its original form by Haynes Miller, states that the classifying space BG of a finite group G is sufficiently different from any finite CW complex X, that it maps to such an X only 'with difficulty'; in a more formal statement, the space of all mappings BG to X, as pointed spaces and given the compact-open topology, is weakly contractible. This area has generated considerable further research. (Both these matters are discussed in his 1970 MIT notes.) Work in dynamicsIn 1985, he proved the No wandering domain theorem. The Parry–Sullivan invariant is named after him and the English mathematician Bill Parry. In 1987, he proved Thurston's conjecture about the approximation of the Riemann map by circle packings together with Burton Rodin. Awards and honors
Selected publications
|url=http://www.numdam.org/item?id=PMIHES_1977__47__269_0| mr=0646078}} References1. ^{{Citation |chapter=Dennis Sullivan |chapterurl=https://books.google.com/books?id=yuGic0WClQ4C&pg=PR13#v=onepage&q&f=false |title=Graphs and patterns in mathematics and theoretical physics |first=Anthony |last=Phillips |page=xiii |editor-first=Leon Armenovich |editor-last=Takhtadzhi͡a︡n |location=Providence |publisher=AMS Bookstore |year=2005 |isbn=0-8218-3666-8 }}. 2. ^{{Cite web|url=https://www.ihes.fr/professeur/dennis-sullivan/|title=Dennis Sullivan|website=IHES|language=fr-FR|access-date=2019-02-22}} 3. ^Winners of Prestigious Wolf Prize Announced 4. ^List of Fellows of the American Mathematical Society, retrieved 2013-08-05. 5. ^"Sullivan awarded Balzan Prize" Notices of the AMS External links{{commons category|Dennis Sullivan}}
18 : Homotopy theory|20th-century American mathematicians|21st-century American mathematicians|Dynamical systems theorists|Topologists|Princeton University alumni|Rice University alumni|State University of New York at Stony Brook faculty|City University of New York faculty|Graduate Center, CUNY faculty|National Medal of Science laureates|1941 births|Living people|ISI highly cited researchers|Members of the United States National Academy of Sciences|Recipients of the Great Cross of the National Order of Scientific Merit (Brazil)|Fellows of the American Mathematical Society|Mathematicians from Michigan |
| 随便看 |
|
开放百科全书收录14589846条英语、德语、日语等多语种百科知识，基本涵盖了大多数领域的百科知识，是一部内容自由、开放的电子版国际百科全书。