2000 - Wolf Prize in Mathematics for his deep discoveries in topology and differential geometry and their applications to Lie groups, differential operators and mathematical physics.
1987 - US President's National Medal of Science "In recognition of his profound studies in the topology of Lie groups and differential geometry over many decades, and in particular for his 'periodicity theorem'.", Presented by President Reagan at a White House Ceremony on June 25, 1987.
1976 - Fellow of John Simon Guggenheim Memorial Foundation
1964 - Member of the National Academy of Sciences
1956 - Fellow of Alfred P. Sloan Foundation
As part of his studies on Pure mathematics, Raoul Bott often connects relevant areas like Equivariant map. Equivariant map is closely attributed to Pure mathematics in his work. He performs integrative Fixed point and Brouwer fixed-point theorem research in his work. Raoul Bott integrates Brouwer fixed-point theorem with Lefschetz fixed-point theorem in his study. He combines Lefschetz fixed-point theorem and Schauder fixed point theorem in his studies. His multidisciplinary approach integrates Schauder fixed point theorem and Fixed-point theorem in his work. In his research, he undertakes multidisciplinary study on Fixed-point theorem and Fixed point. His Mathematical analysis study frequently intersects with other fields, such as Elliptic curve. His Mathematical analysis research extends to Elliptic curve, which is thematically connected.
Much of his study explores Biochemistry relationship to Subtilisin. His work on Biochemistry expands to the thematically related Subtilisin. His study deals with a combination of Enzyme and Protease. He conducts interdisciplinary study in the fields of Mathematical analysis and Pure mathematics through his research. Raoul Bott merges many fields, such as Organic chemistry and Stereochemistry, in his writings. In his papers, he integrates diverse fields, such as Stereochemistry and Organic chemistry. Geometry and Pure mathematics are two areas of study in which Raoul Bott engages in interdisciplinary work. His multidisciplinary approach integrates Crystal structure and Crystallography in his work. Raoul Bott carries out multidisciplinary research, doing studies in Crystallography and Crystal structure.
Raoul Bott performs integrative study on Climatology and Oceanography in his works. Raoul Bott integrates many fields in his works, including Oceanography and Climatology. As part of his studies on Ocean chemistry, Raoul Bott frequently links adjacent subjects like Seawater. His Seawater study typically links adjacent topics like Ocean chemistry. His research on Environmental chemistry frequently links to adjacent areas such as Biogeochemical cycle. Raoul Bott frequently studies issues relating to Environmental chemistry and Biogeochemical cycle. He incorporates Pathology and Microbiology in his research. He combines Microbiology and Pathology in his studies. Protease and Proteinase K are two areas of study in which he engages in interdisciplinary work.
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Graduate Texts in Mathematics
Rajendra Bhatia;Glen Bredon;Wolfgang Walter;Joseph J. Rotman.
Differential Forms in Algebraic Topology
Raoul Bott;Loring W. Tu.
The Yang-Mills equations over Riemann surfaces
Michael Francis Atiyah;Raoul Bott.
Philosophical Transactions of the Royal Society A (1982)
The moment map and equivariant cohomology
M.F. Atiyah;M.F. Atiyah;R. Bott;R. Bott.
Homogeneous Vector Bundles
Annals of Mathematics (1957)
On the heat equation and the index theorem
M. Atiyah;R. Bott;V. K. Patodi;V. K. Patodi.
Inventiones Mathematicae (1973)
The Stable Homotopy of the Classical Groups
Annals of Mathematics (1959)
A Lefschetz Fixed Point Formula for Elliptic Complexes: I
M. F. Atiyah;R. Bott.
Annals of Mathematics (1967)
A Lefschetz Fixed Point Formula for Elliptic Complexes: II. Applications
M. F. Atiyah;R. Bott.
Annals of Mathematics (1968)
Applications of the Theory of Morse to Symmetric Spaces
Raoul Bott;Hans Samelson.
American Journal of Mathematics (1958)
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