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

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

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...

cohomology group), the extension to higher cohomology groups being provided by Raoul Bott. One can equivalently, through Serre's GAGA, view this as a result in...

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

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

In mathematics, the Atiyah–Bott fixed-point theorem, proven by Michael Atiyah and Raoul Bott in the 1960s, is a general form of the Lefschetz fixed-point...

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

K-theory and KK-theory. The phenomenon of periodicity named after Raoul Bott (see Bott periodicity theorem) can be formulated this way: K ( X × S 2 ) =...

cohomology of groups of diffeomorphisms, was written under the supervision of Raoul Bott. He worked at the University of Maryland (1979–1984), then at the University...

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...

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...

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

as a combinatorial object by Raoul Bott and Clifford Taubes and, for this reason, it is also sometimes called the Bott–Taubes polytope. It was later...

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

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...

article on Clifford algebras and periodicity with Raoul Bott, later redone by Michael Atiyah and Bott. During WWII Shapiro was in the US Army signal corps...

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...

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

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

certain homogeneous generators. The original work of Michael Atiyah and Raoul Bott concerned the integral cohomology ring of Bun G ⁡ ( X ) {\displaystyle...

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

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...

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

"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...

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)...

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

mathematics at Tufts University. He has frequently collaborated with Raoul Bott. Some of his books and papers are: Introductory Lectures on Equivariant...

proved using methods of algebraic topology in 1958 by Michel Kervaire, Raoul Bott, and John Milnor. The a priori twofold use of the symbol "−" for denoting...

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