Garrett Birkhoff

16.2k citations
119 papers · 3.7k indexed · 1 hit paper · h-index 32
Topics
History and Theory of Mathematics (10 papers)Advanced Algebra and Logic (9 papers)Advanced Numerical Methods in Computational Mathematics (9 papers)

In The Last Decade

Garrett Birkhoff

113 papers receiving 3.2k citations

Hit Papers

A Survey of Modern Algebra19542026197820021954100200300

Peers

Garrett Birkhoff
Comparison fields: 5 of 166
  • Computational Mechanics 868
  • Computational Theory and Mathematics 858
  • Molecular Biology 421
  • Artificial Intelligence 406
  • Numerical Analysis 387
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Citations per field
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Countries citing papers authored by Garrett Birkhoff

Since Specialization
Citations

This map shows the geographic impact of Garrett Birkhoff's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Garrett Birkhoff with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Garrett Birkhoff more than expected).

Fields of papers citing papers by Garrett Birkhoff

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Garrett Birkhoff. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Garrett Birkhoff. The network helps show where Garrett Birkhoff may publish in the future.

Co-authorship network of co-authors of Garrett Birkhoff

This figure shows the co-authorship network connecting the top 25 collaborators of Garrett Birkhoff. A scholar is included among the top collaborators of Garrett Birkhoff based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Garrett Birkhoff. Garrett Birkhoff is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
#WorkIndexed citations
1
Lattice theory and its applications : in celebration of Garrett Birkhoff's 80th birthday
2
2
Mathematics and Computer Science
58
3 23
4 14
5 130
6 6
7
Preliminary edition of modern applied algebra
2
8 1
9 3
10 27
11 4
12 33
13 29
14
Lattice-ordered demigroups
1
15 24
16 2
17 13
18
Orbit theory : [proceedings of the Ninth Symposium in Applied Mathematics of the American Mathematical Society, held at New York University, April 4-6, 1957
7
19 1
20
A brief survey of modern algebra
23

About Garrett Birkhoff

Garrett Birkhoff is a scholar working on Theoretical Computer Science, Numerical Analysis and Computational Theory and Mathematics, having authored 119 papers that have together received 3.7k indexed citations. Recurring topics across this work include History and Theory of Mathematics (10 papers), Advanced Algebra and Logic (9 papers) and Advanced Numerical Methods in Computational Mathematics (9 papers). The work is most often cited by research in Theoretical Computer Science (87 citations), Numerical Analysis (387 citations) and Computational Theory and Mathematics (858 citations). Garrett Birkhoff has collaborated with scholars based in United States, South Sudan and Canada. Frequent co-authors include Kenneth O. May, Saunders MacLane, Kevin Eggan, Dieter Egli, Richard S. Varga, Rudolph E. Langer, Robert E. Lynch, G. M. Clemence, Arthur G. Hansen and John D. Lipson. Their work appears in journals such as Nature, Proceedings of the National Academy of Sciences and Nature Reviews Molecular Cell Biology.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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