- Home
- Best Scientists - Mathematics
- Garrett Birkhoff

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
48
Citations
12,271
194
World Ranking
874
National Ranking
430

1981 - John von Neumann Lecturer

1969 - Fellow of the American Association for the Advancement of Science (AAAS)

1968 - Member of the National Academy of Sciences

1947 - Fellow of John Simon Guggenheim Memorial Foundation

1918 - Member of the National Academy of Sciences

- Algebra
- Mathematical analysis
- Quantum mechanics

Garrett Birkhoff focuses on Algebra, Pure mathematics, Abstract algebra, Mathematical analysis and Mathematics education. The Algebra study combines topics in areas such as Symmetric algebra, Cellular algebra, Division algebra, Filtered algebra and Hilbert metric. His study in Cellular algebra is interdisciplinary in nature, drawing from both Universal enveloping algebra and Subalgebra.

His Abstract algebra research is multidisciplinary, incorporating perspectives in Point and Axiom. His study in Power series, Differential equation, Ordinary differential equation, Constant coefficients and Regular singular point is done as part of Mathematical analysis. His research ties Field and Mathematics education together.

- The Logic of Quantum Mechanics (2124 citations)
- Ordinary Differential Equations (827 citations)
- On the Structure of Abstract Algebras (763 citations)

The scientist’s investigation covers issues in Algebra, Pure mathematics, Mathematical analysis, Applied mathematics and Algebra over a field. His primary area of study in Algebra is in the field of Abstract algebra. His research is interdisciplinary, bridging the disciplines of Finite element method and Mathematical analysis.

The subject of his Cellular algebra research is within the realm of Algebra representation.

- Algebra (20.30%)
- Pure mathematics (19.80%)
- Mathematical analysis (14.36%)

- Algebra (20.30%)
- Mathematical analysis (14.36%)
- Pure mathematics (19.80%)

His primary scientific interests are in Algebra, Mathematical analysis, Pure mathematics, Abstract algebra and Algebra over a field. As part of his studies on Algebra, Garrett Birkhoff often connects relevant subjects like Universal algebra. His Integral equation, Partial differential equation and Cnoidal wave study, which is part of a larger body of work in Mathematical analysis, is frequently linked to Composite material and Added mass, bridging the gap between disciplines.

As part of his studies on Pure mathematics, he often connects relevant areas like Canonical form. His work carried out in the field of Abstract algebra brings together such families of science as Topology, Topological algebra, Automorphism and Lie algebra. His Algebra over a field research integrates issues from Series, If and only if, Combinatorial theory and Equivalence relation.

- Jets, wakes, and cavities (547 citations)
- Hydrodynamics : a study in logic, fact, and similitude. (273 citations)
- Developmental reprogramming after chromosome transfer into mitotic mouse zygotes (272 citations)

- Mathematical analysis
- Quantum mechanics
- Algebra

Calculus, Algebra over a field, Combinatorics, Convexity and Axiom are his primary areas of study. His research in Calculus intersects with topics in Epistemology and Topology. His Algebra over a field study integrates concerns from other disciplines, such as Class, Series, Combinatorial theory and Equivalence relation.

His Combinatorics study incorporates themes from Lattice and If and only if. His study on Convexity is intertwined with other disciplines of science such as Pure mathematics, Regular polygon, Partially ordered set, Join and meet and Total order. His biological study spans a wide range of topics, including Foundations of mathematics, Development, Function space, German and Unification.

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.

The Logic of Quantum Mechanics

Garrett Birkhoff;John Von Neumann.

Annals of Mathematics **(1936)**

3094 Citations

On the Structure of Abstract Algebras

Garrett Birkhoff;P. Hall.

Mathematical Proceedings of the Cambridge Philosophical Society **(1935)**

1256 Citations

Ordinary Differential Equations

Garrett Birkhoff;Gian-Carlo Rota.

**(1962)**

1227 Citations

A survey of modern algebra

Garrett Birkhoff;Saunders Mac Lane.

**(1950)**

1111 Citations

Jets, wakes, and cavities

Garrett Birkhoff;Eduardo H. Zarantonello.

**(2012)**

853 Citations

A Survey of Modern Algebra

Kenneth O. May;Garrett Birkhoff;Saunders MacLane.

Econometrica **(1954)**

807 Citations

Ordinary Differential Equations

J. C. Burkill;G. Birkhoff;G. Rota.

The Mathematical Gazette **(1964)**

579 Citations

Orthogonality in linear metric spaces

Garrett Birkhoff.

Duke Mathematical Journal **(1935)**

534 Citations

Extensions of Jentzsch’s theorem

Garrett Birkhoff.

Transactions of the American Mathematical Society **(1957)**

514 Citations

Proceedings of Symposia in Applied Mathematics

G. M. Clemence;Garrett Birkhoff;R. E. Langer.

Mathematics of Computation **(1960)**

434 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Kent State University

Princeton University

Harvard University

Columbia University

University of Wisconsin–Madison

Microsoft (United States)

Polytechnic University of Milan

Ludwig-Maximilians-Universität München

University of Melbourne

University of Nottingham

King Abdulaziz University

Chinese University of Hong Kong

Nagasaki University

University of Turin

Brigham and Women's Hospital

Istituto Superiore di Sanità

Centre national de la recherche scientifique, CNRS

Brown University

University of Pennsylvania

University of Michigan–Ann Arbor

University of Amsterdam

Something went wrong. Please try again later.