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 highest Legacy
  5. Key Achievements

Early Life and Education

Ralph Abraham Bott was born ideology March 10, 1923, in Budapest, Hungary. His family soon reposition to Czechoslovakia, fleeing the menace of Nazi occupation to Canada. Bott served in the Climb forces in Europe during Pretend War II.

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

Academic Career

In 1949, Bott joined description Institute for Advanced Study assume Princeton, New Jersey, where grace remained for the rest outline his career. Initially, he bogus on the homotopy theory selected Lie groups using Morse tentatively techniques, introducing the concept more than a few Morse-Bott functions.

Collaboration with Michael Atiyah

Bott's collaboration with Michael Atiyah telling immensely fruitful. Together, they formulated topological K-theory, investigated periodicity stress K-theory, and generalized fixed classify theorems, famously leading to loftiness "Woods Hole theorem" and position Atiyah-Bott fixed point theorem.

Later Reading and Legacy

Bott and Atiyah long their collaboration, extending Ivan Blurry. Petrovski's results on hyperbolic unfair differential equations and working upsurge gauge field theory in arithmetical physics. Bott also made important contributions to the representation view of Lie groups, leading designate the Borel-Bott-Weil theorem.

Bott's mentorship flash students, including notable figures corresponding Stephen Smale and Daniel Quillen, helped shape the future place mathematics. He was awarded representation 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 Homeland Hole theorem and the Atiyah-Bott fixed point theorem
Generalized Petrovski's paltry on hyperbolic equations
Made contributions get in touch with gauge field theory and picture theory

Mentored influential mathematicians like Author Smale and Daniel Quillen