D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 39 Citations 19,728 79 World Ranking 1423 National Ranking 632

Research.com Recognitions

Awards & Achievements

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

What is he best known for?

The fields of study Raoul Bott is best known for:

  • Enzyme
  • Amino acid
  • Protease

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.

His most cited work include:

  • The moment map and equivariant cohomology (1015 citations)
  • A Lefschetz Fixed Point Formula for Elliptic Complexes: I (393 citations)
  • A Lefschetz Fixed Point Formula for Elliptic Complexes: II. Applications (356 citations)

What are the main themes of his work throughout his whole career to date

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 most often published in these fields:

  • Pure mathematics (48.72%)
  • Biochemistry (28.21%)
  • Enzyme (23.08%)

What were the highlights of his more recent work (between 2004-2014)?

  • Climatology (33.33%)
  • Oceanography (33.33%)
  • Ocean chemistry (33.33%)

In recent works Raoul Bott was focusing on the following fields of study:

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.

Between 2004 and 2014, his most popular works were:

  • A high-frequency atmospheric and seawater <i>p</i>CO<sub>2</sub> data set from 14 open-ocean sites using a moored autonomous system (86 citations)
  • Decontamination of prion protein (BSE301V) using a genetically engineered protease (25 citations)
  • Some Aspects of Invariant Theory in Differential Geometry (9 citations)

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Graduate Texts in Mathematics

Rajendra Bhatia;Glen Bredon;Wolfgang Walter;Joseph J. Rotman.
(1977)

23307 Citations

Differential Forms in Algebraic Topology

Raoul Bott;Loring W. Tu.
(2013)

4436 Citations

The Yang-Mills equations over Riemann surfaces

Michael Francis Atiyah;Raoul Bott.
Philosophical Transactions of the Royal Society A (1982)

2959 Citations

The moment map and equivariant cohomology

M.F. Atiyah;M.F. Atiyah;R. Bott;R. Bott.
Topology (1984)

1740 Citations

Homogeneous Vector Bundles

Raoul Bott.
Annals of Mathematics (1957)

1071 Citations

On the heat equation and the index theorem

M. Atiyah;R. Bott;V. K. Patodi;V. K. Patodi.
Inventiones Mathematicae (1973)

963 Citations

The Stable Homotopy of the Classical Groups

Raoul Bott.
Annals of Mathematics (1959)

726 Citations

A Lefschetz Fixed Point Formula for Elliptic Complexes: I

M. F. Atiyah;R. Bott.
Annals of Mathematics (1967)

666 Citations

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

M. F. Atiyah;R. Bott.
Annals of Mathematics (1968)

622 Citations

Applications of the Theory of Morse to Symmetric Spaces

Raoul Bott;Hans Samelson.
American Journal of Mathematics (1958)

534 Citations

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