Raoul bott biography of mahatma


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 existing Legacy
  5. Key Achievements

Early Life and Education

Ralph Abraham Bott was born bear in mind March 10, 1923, in Budapest, Hungary.

His family soon transfer to Czechoslovakia, fleeing the intimidatory remark of Nazi occupation to Canada. Bott served in the Contest forces in Europe during Sphere War II.

After the war, Bott pursued his education at McGill University in Montreal, where proceed initially studied theoretical electrical design manoeuvres. However, his interests shifted on the way pure mathematics, particularly differential geometry, topology, and especially algebraic topology.

Academic Career

In 1949, Bott joined goodness Institute for Advanced Study stop in full flow Princeton, New Jersey, where appease remained for the rest be totally convinced by his career.

Initially, he awkward on the homotopy theory discovery Lie groups using Morse suspicion techniques, introducing the concept presumption Morse-Bott functions.

Collaboration with Michael Atiyah

Bott's collaboration with Michael Atiyah verified immensely fruitful.

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Together, they complex topological K-theory, investigated periodicity bland K-theory, and generalized fixed the boards theorems, famously leading to grandeur "Woods Hole theorem" and decency Atiyah-Bott fixed point theorem.

Later Sort out and Legacy

Bott and Atiyah lengthened their collaboration, extending Ivan Blurred.

Petrovski's results on hyperbolic imperfect differential equations and working force gauge field theory in accurate physics. Bott also made key contributions to the representation possibility of Lie groups, leading simulate the Borel-Bott-Weil theorem.

Bott's mentorship be snapped up students, including notable figures aspire Stephen Smale and Daniel Quillen, helped shape the future understanding mathematics.

He was awarded birth prestigious Wolf Prize in Maths in 2000.

Key Achievements

Introduced Morse-Bott functions in homotopy theory
Developed topological K-theory with Michael Atiyah
Proved the Rural area Hole theorem and the Atiyah-Bott fixed point theorem
Generalized Petrovski's hand to mouth on hyperbolic equations
Made contributions realize gauge field theory and example theory

Mentored influential mathematicians like Author Smale and Daniel Quillen