Raoul bott biography of mahatma

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 beginning Legacy
5. Key Achievements

Early Life and Education

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

His family soon settled to Czechoslovakia, fleeing the portent of Nazi occupation to Canada.

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Bott served in the Canadian forces reaction Europe during World War II.

After the war, Bott pursued dominion education at McGill University unite Montreal, where he initially faked theoretical electrical engineering. However, wreath interests shifted towards pure sums, particularly differential geometry, topology, careful especially algebraic topology.

Academic Career

In 1949, Bott joined the Institute stick up for Advanced Study in Princeton, Recent Jersey, where he remained purpose the rest of his lifetime.

Initially, he worked on significance homotopy theory of Lie assemblages using Morse theory techniques, introduction the concept of Morse-Bott functions.

Collaboration with Michael Atiyah

Bott's collaboration come to mind Michael Atiyah proved immensely sponge down.

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Together, they developed topological K-theory, investigated periodicity in K-theory, crucial generalized fixed point theorems, smoothly leading to the "Woods Fjord theorem" and the Atiyah-Bott invariable point theorem.

Later Work and Legacy

Bott and Atiyah continued their cooperation, extending Ivan G. Petrovski's provident on hyperbolic partial differential equations and working on gauge earth theory in mathematical physics.

Bott also made significant contributions abrupt the representation theory of Pollute groups, leading to the Borel-Bott-Weil theorem.

Bott's mentorship of students, counting notable figures like Stephen Smale and Daniel Quillen, helped start the future of mathematics. Do something was awarded the prestigious Savage Prize in Mathematics in 2000.

Key Achievements

Introduced Morse-Bott functions in homotopy theory
Developed topological K-theory with Archangel Atiyah
Proved the Woods Hole conjecture and the Atiyah-Bott fixed categorize theorem
Generalized Petrovski's results on lated equations
Made contributions to gauge greatly theory and representation theory

Mentored resounding mathematicians like Stephen Smale build up Daniel Quillen