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Raoul Bott information


Raoul Bott
Raoul Bott in 1986
Born(1923-09-24)September 24, 1923
Budapest, Hungary
DiedDecember 20, 2005(2005-12-20) (aged 82)
San Diego, California, U.S.
NationalityHungarian American
Alma materMcGill University
Carnegie Mellon University
Known forBott cannibalistic class
Bott periodicity theorem
Bott residue formula
Bott–Duffin synthesis
Bott–Samelson resolution
Bott–Taubes polytope
Bott–Virasoro group
Atiyah–Bott formula
Atiyah–Bott fixed-point theorem
Borel–Weil–Bott theorem
Morse–Bott theory
AwardsVeblen Prize (1964)
Jeffery–Williams Prize (1983)
National Medal of Science (1987)
Steele Prize (1990)
Wolf Prize (2000)
ForMemRS (2005)
Scientific career
FieldsMathematics
InstitutionsUniversity of Michigan in Ann Arbor
Harvard University
Doctoral advisorRichard Duffin
Doctoral students
  • Edward B. Curtis
  • Harold Edwards
  • Nancy Hingston
  • Peter Landweber
  • Robert MacPherson
  • Daniel Quillen
  • Stephen Smale
  • Susan Tolman
  • Eric Weinstein

Raoul Bott (September 24, 1923 – December 20, 2005)[1] was a Hungarian-American mathematician known for numerous foundational contributions to geometry in its broad sense. He is best known for his Bott periodicity theorem, the Morse–Bott functions which he used in this context, and the Borel–Bott–Weil theorem.

  1. ^ Atiyah, Michael (2007). "Raoul Harry Bott. 24 September 1923 -- 20 December 2005: Elected ForMemRS 2005". Biographical Memoirs of Fellows of the Royal Society. 53: 63. doi:10.1098/rsbm.2007.0006. S2CID 70531812.

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Raoul Bott

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Raoul Bott (September 24, 1923 – December 20, 2005) was a Hungarian-American mathematician known for numerous foundational contributions to geometry in...

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Bott periodicity theorem

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mathematics, the Bott periodicity theorem describes a periodicity in the homotopy groups of classical groups, discovered by Raoul Bott (1957, 1959), which...

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Richard Duffin

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Forbes Nash, Jr., later a Nobel laureate. In 1949, Duffin and his student Raoul Bott developed a generalized method of synthesising networks without transformers...

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Bott

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Randy L. Bott Raoul Bott, mathematician Richard Bott Violet Elizabeth Bott the character in a Richmal Crompton novel. Wilf Bott Atiyah–Bott fixed-point...

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Eric Weinstein

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mathematical physics from Harvard University in 1992 under the supervision of Raoul Bott. In his dissertation, "Extension of Self-Dual Yang-Mills Equations Across...

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Morse theory

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energy functional on the space of paths). These techniques were used in Raoul Bott's proof of his periodicity theorem. The analogue of Morse theory for complex...

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Network synthesis

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World War II are due to Otto Brune and Sidney Darlington. In the 1940s Raoul Bott and Richard Duffin published a synthesis technique that did not require...

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Stephen Smale

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his studies more seriously. Smale finally earned his PhD in 1957, under Raoul Bott, beginning his career as an instructor at the University of Chicago. Early...

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Bott cannibalistic class

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In mathematics, the Bott cannibalistic class, introduced by Raoul Bott (1962), is an element θ k ( V ) {\displaystyle \theta _{k}(V)} of the representation...

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Daniel Quillen

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1961, and his PhD in 1964; the latter completed under the supervision of Raoul Bott, with a thesis in partial differential equations. He was a Putnam Fellow...

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Raoul

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general Raoul Borra (1896–1988), French politician Raoul Bortoletto (1925–2003), Italian footballer Raoul Bossy (1894–1975), Romanian diplomat Raoul Bott (1923–2005)...

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Michael Atiyah

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many mathematicians. His three main collaborations were with Raoul Bott on the Atiyah–Bott fixed-point theorem and many other topics, with Isadore M. Singer...

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Jim Simons

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Oswald Veblen Prize in Geometry 1964 Christos Papakyriakopoulos 1964 Raoul Bott 1966 Stephen Smale 1966 Morton Brown and Barry Mazur 1971 Robion Kirby...

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Mathematische Arbeitstagung

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Jacques Tits, Alexander Grothendieck, Hans Grauert, Nicolaas Kuiper, Raoul Bott, John Milnor, Stephen Smale, Armand Borel, Shiing-Shen Chern, Kunihiko...

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Gopal Prasad

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spaces, and representation theory of reductive p-adic groups. He is the Raoul Bott Professor of Mathematics at the University of Michigan in Ann Arbor. Prasad...

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Network synthesis filters

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Duffin & Raoul Bott, "Impedance synthesis without the use of transformers", Journal of Applied Physics 20:816 John H. Hubbard (2010) "The Bott-Duffin Synthesis...

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List of Carnegie Mellon University people

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artificial intelligence, 1994 Shafi Goldwasser (B.S. 1979), cryptography, 2012 Raoul Bott (Ph.D. 1949), Wolf Prize in Mathematics, 2000 George Cowan (Ph.D. 1950)...

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Sphere eversion

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"turning" exists, and that is what Smale did. Smale's graduate adviser Raoul Bott at first told Smale that the result was obviously wrong (Levy 1995). His...

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Algebraic topology

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combinatorics. Frank Adams Michael Atiyah Enrico Betti Armand Borel Karol Borsuk Raoul Bott Luitzen Egbertus Jan Brouwer William Browder Ronald Brown Henri Cartan...

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Wolf Prize in Mathematics

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generation of analysts through his eloquent teaching and writing. 2000 Raoul Bott  Hungary  United States for his deep discoveries in topology and differential...

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Parallelizable manifold

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was proved in 1958, by Friedrich Hirzebruch, Michel Kervaire, and by Raoul Bott and John Milnor, in independent work. The parallelizable spheres correspond...

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Lefschetz hyperplane theorem

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Thom no later than 1957 and was simplified and published by Raoul Bott in 1959. Thom and Bott interpret Y {\displaystyle Y} as the vanishing locus in X...

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List of lay Catholic scientists

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(1608–1679) – often referred to as the father of modern biomechanics Raoul Bott (1923–2005) – mathematician known for numerous basic contributions to...

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