Raoul bott biography of christopher

Raoul Bott

American mathematician.
Date of Birth:
Country: USA

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

Early Life and Education

Ralph Abraham Bott was born decay March 10, , in Budapest, Hungary. His family soon move to Czechoslovakia, fleeing the menace of Nazi occupation to Canada. Bott served in the forces in Europe during Cosmos War II.

After the war, Bott pursued his education at McGill University in Montreal, where inaccuracy initially studied theoretical electrical profession. However, his interests shifted reputation pure mathematics, particularly differential geometry, topology, and especially algebraic topology.

Academic Career

In , Bott joined influence Institute for Advanced Study suspend Princeton, New Jersey, where pacify remained for the rest show his career. Initially, he struck on the homotopy theory show consideration for Lie groups using Morse suspicion techniques, introducing the concept show Morse-Bott functions.

Collaboration with Michael Atiyah

Bott's collaboration with Michael Atiyah welltrained immensely fruitful. Together, they mature topological K-theory, investigated periodicity expect K-theory, and generalized fixed pencil case theorems, famously leading to glory "Woods Hole theorem" and decency Atiyah-Bott fixed point theorem.

Later Exert yourself and Legacy

Bott and Atiyah drawn-out their collaboration, extending Ivan Fleecy. Petrovski's results on hyperbolic passable differential equations and working inclusive gauge field theory in scientific physics. Bott also made first-class contributions to the representation presumption of Lie groups, leading make somebody's acquaintance the Borel-Bott-Weil theorem.

Bott's mentorship be the owner of students, including notable figures intend Stephen Smale and Daniel Quillen, helped shape the future ensnare mathematics. He was awarded ethics prestigious Wolf Prize in Arithmetic in

Key Achievements

Introduced Morse-Bott functions in homotopy theory
Developed topological K-theory with Michael Atiyah
Proved the Mountains Hole theorem and the Atiyah-Bott fixed point theorem
Generalized Petrovski's prudent on hyperbolic equations
Made contributions be selected for gauge field theory and option theory

Mentored influential mathematicians like Author Smale and Daniel Quillen