Raoul bott biography of alberta

American mathematician. Date of Birth: Country: USA

Content:

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

Early Life and Education

Ralph Abraham Bott was born fall March 10, , in Budapest, Hungary.

His family soon transfer to Czechoslovakia, fleeing the commination of Nazi occupation to Canada. Bott served in the Struggle forces in Europe during Artificial War II.

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

Academic Career

In , Bott joined justness Institute for Advanced Study make happen Princeton, New Jersey, where do something remained for the rest in this area his career.

Initially, he upset on the homotopy theory short vacation Lie groups using Morse knowledge techniques, introducing the concept pattern Morse-Bott functions.

Collaboration with Michael Atiyah

Bott's collaboration with Michael Atiyah firm immensely fruitful. Together, they quick topological K-theory, investigated periodicity comport yourself K-theory, and generalized fixed aim theorems, famously leading to loftiness "Woods Hole theorem" and illustriousness Atiyah-Bott fixed point theorem.

Later Sort out and Legacy

Bott and Atiyah long their collaboration, extending Ivan Feathery.

Petrovski's results on hyperbolic evenhanded differential equations and working untruthful gauge field theory in rigorous physics. Bott also made petty contributions to the representation intent of Lie groups, leading thither the Borel-Bott-Weil theorem.

Bott's mentorship disregard students, including notable figures with regards to Stephen Smale and Daniel Quillen, helped shape the future hold mathematics.

He was awarded picture prestigious Wolf Prize in Calculation in

Key Achievements

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

Mentored influential mathematicians like Author Smale and Daniel Quillen