Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies
if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the
same subfield and year (this is the minimum needed to enter the top 1%, not the average
within it), or reaches the top citation threshold in at least one of its specific research
topics.
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
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
1.
Birkhoff, Garrett, et al.. (1995). Lattice theory and its applications : in celebration of Garrett Birkhoff's 80th birthday.2 indexed citations
2.
Birkhoff, Garrett. (1975). Mathematics and Computer Science. American Scientist. 63(1). 83–91.58 indexed citations
3.
Birkhoff, Garrett. (1974). Origins of modern algebra. Historia Mathematica. 1(3). 333–337.23 indexed citations
Birkhoff, Garrett & Richard S. Varga. (1959). Implicit Alternating Direction Methods. Transactions of the American Mathematical Society. 92(1). 13–13.13 indexed citations
18.
Birkhoff, Garrett & Rudolph E. Langer. (1959). Orbit theory : [proceedings of the Ninth Symposium in Applied Mathematics of the American Mathematical Society, held at New York University, April 4-6, 1957. American Mathematical Society eBooks.7 indexed citations
19.
Birkhoff, Garrett, et al.. (1954). Note on the Heat Equation. Proceedings of the American Mathematical Society. 5(1). 162–162.1 indexed citations
20.
Birkhoff, Garrett & Saunders Mac Lane. (1953). A brief survey of modern algebra. Macmillan eBooks.23 indexed citations
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.