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D-Index & Metrics

Mathematics

D-Index
49
Citations
21986
World Ranking
1110
National Ranking
510

Research.com Recognitions

  • 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

Overview

Raoul Bott was affiliated with Harvard University in the United States during their academic career. The scope of their work primarily encompassed the areas of topology and differential geometry.

Throughout their career, they received significant recognition in the scientific community, reflecting their contributions to these fields. Among the awards received were the Wolf Prize in Mathematics in 2000, awarded for discoveries in topology and differential geometry and their applications to Lie groups, differential operators, and mathematical physics. In 1987, they were honored with the US President's National Medal of Science, recognizing profound studies in the topology of Lie groups and differential geometry, notably for the development of the periodicity theorem. Other distinctions included fellowships from the John Simon Guggenheim Memorial Foundation in 1976 and the Alfred P. Sloan Foundation in 1956, as well as election to the National Academy of Sciences in 1964.

Their work notably impacted the understanding of Lie groups and the interplay between geometry and topology, contributing to mathematical physics through differential operators. These areas represent the core topics and themes associated with their research.

Raoul Bott's publication record does not feature recent papers, coauthors, or frequent publication venues in the provided data, nor specific book publications. However, the awards and honors illustrate the extent and duration of their influence in mathematical research, particularly over several decades.

Best Publications

  • Differential Forms in Algebraic Topology

    Raoul Bott;Loring W. Tu

  • The Yang-Mills equations over Riemann surfaces

    Michael Francis Atiyah;Raoul Bott

  • The moment map and equivariant cohomology

    M.F. Atiyah;M.F. Atiyah;R. Bott;R. Bott

  • Homogeneous Vector Bundles

    Raoul Bott

  • On the heat equation and the index theorem

    M. Atiyah;R. Bott;V. K. Patodi;V. K. Patodi

  • The Stable Homotopy of the Classical Groups

    Raoul Bott

  • A Lefschetz Fixed Point Formula for Elliptic Complexes: I

    M. F. Atiyah;R. Bott

  • A Lefschetz Fixed Point Formula for Elliptic Complexes: II. Applications

    M. F. Atiyah;R. Bott

  • Applications of the Theory of Morse to Symmetric Spaces

    Raoul Bott;Hans Samelson

  • On the self‐linking of knots

    Raoul Bott;Clifford Taubes

  • Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic sections

    Raoul Bott;Raoul Bott;S. S. Chern;S. S. Chern

  • On the iteration of closed geodesics and the sturm intersection theory

    Raoul Bott

  • An application of the Morse theory to the topology of Lie-groups

    Raoul Bott

  • Lectures on Morse theory, old and new

    Raoul Bott

  • Lacunas for hyperbolic differential operators with constant coefficients I

    M. F. Atiyah;R. Bott;L. Gårding

  • Nondegenerate Critical Manifolds

    Raoul Bott

  • Lectures on characteristic classes and foliations

    Unknown

  • The space of loops on a Lie group.

    Raoul Bott

  • Singularities of holomorphic foliations

    Paul Baum;Raoul Bott;Raoul Bott

  • On the rigidity theorems of Witten

    Raoul Bott;Clifford Taubes

  • Morse theory indomitable

    Raoul Bott

Frequent Co-Authors

Michael Atiyah
Michael Atiyah University of Edinburgh
Clifford Henry Taubes
Clifford Henry Taubes Harvard University
Shiing-Shen Chern
Shiing-Shen Chern University of California, Berkeley
Rajendra Bhatia
Rajendra Bhatia Ashoka University
Jiří Matoušek
Jiří Matoušek Charles University
Boris Dubrovin
Boris Dubrovin International School for Advanced Studies
Martin Golubitsky
Martin Golubitsky The Ohio State University
Goro Shimura
Goro Shimura Princeton University
Béla Bollobás
Béla Bollobás University of Memphis

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