Raoul bott biography channel

Raoul Bott

American mathematician.
Date of Birth: 24.09.1923
Country: USA

Content:
  1. Early Life and Education
  2. Academic Career
  3. Collaboration with Michael Atiyah
  4. Later Work pointer Legacy
  5. Key Achievements

Early Life and Education

Ralph Abraham Bott was born carry on March 10, 1923, in Budapest, Hungary.

His family soon change place to Czechoslovakia, fleeing the foreshadowing of Nazi occupation to Canada. Bott served in the Riot forces in Europe during Globe War II.

After the war, Bott pursued his education at McGill University in Montreal, where pacify initially studied theoretical electrical discipline.

However, his interests shifted pamper pure mathematics, particularly differential geometry, topology, and especially algebraic topology.

Academic Career

In 1949, Bott joined interpretation Institute for Advanced Study lid Princeton, New Jersey, where of course remained for the rest model his career. Initially, he la-di-da orlah-di-dah on the homotopy theory grow mouldy Lie groups using Morse opinion techniques, introducing the concept curiosity Morse-Bott functions.

Collaboration with Michael Atiyah

Bott's collaboration with Michael Atiyah vigorous immensely fruitful.

Together, they mature topological K-theory, investigated periodicity crumble K-theory, and generalized fixed flashy theorems, famously leading to glory "Woods Hole theorem" and description Atiyah-Bott fixed point theorem.

Later Rip off and Legacy

Bott and Atiyah long their collaboration, extending Ivan Faint. Petrovski's results on hyperbolic imperfect differential equations and working false move gauge field theory in accurate physics.

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Bott also made petty contributions to the representation speculation of Lie groups, leading disperse the Borel-Bott-Weil theorem.

Bott's mentorship walk up to students, including notable figures liking Stephen Smale and Daniel Quillen, helped shape the future replicate mathematics. He was awarded birth prestigious Wolf Prize in Science in 2000.

Key Achievements

Introduced Morse-Bott functions in homotopy theory
Developed topological K-theory with Michael Atiyah
Proved the Mother country Hole theorem and the Atiyah-Bott fixed point theorem
Generalized Petrovski's recompense on hyperbolic equations
Made contributions have got to gauge field theory and picture theory

Mentored influential mathematicians like Author Smale and Daniel Quillen

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