Deane Montgomery
Impact in
- Geometry and Topology top 2%
- Geometric and Algebraic Topology
- Advanced Topology and Set Theory
- Mathematics and Applications
- Mathematical Physics top 2%
- Homotopy and Cohomology in Algebraic Topology
- Advanced Operator Algebra Research
- Mathematical Dynamics and Fractals
- Advanced Algebra and Geometry
Papers in
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- Mathematical Dynamics and Fractals 7
- Homotopy and Cohomology in Algebraic Topology 5
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- Geometric and Algebraic Topology 7
- Mathematics and Applications 2
- Co-authors
- Leo Zippin (8 shared papers)C. T. Yang (6 shared papers)Hans Samelson (2 shared papers)P. E. Conner (1 shared paper)Oswald Veblen (1 shared paper)Lipman Bers (1 shared paper)Henri Cartan (1 shared paper)Georges de Rham (1 shared paper)
- Journals
- Proceedings of the American Mathematical Society (5 papers)Annals of Mathematics (3 papers)The Michigan Mathematical Journal (3 papers)Proceedings of the National Academy of Sciences (3 papers)Bulletin of the American Mathematical Society (2 papers)
- Partner nations
- United States
In The Last Decade
Deane Montgomery
20 papers receiving 470 citations
Deane Montgomery's Hit Papers
Peers
Comparison fields: 5 of 53
- Geometry and Topology 423
- Mathematical Physics 420
- Algebra and Number Theory 147
- Theoretical Computer Science 26
- Discrete Mathematics and Combinatorics 53
Countries citing papers authored by Deane Montgomery
This map shows the geographic impact of Deane Montgomery'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 Deane Montgomery with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Deane Montgomery more than expected).
Fields of papers citing papers by Deane Montgomery
This network shows the impact of papers produced by Deane Montgomery. 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 Deane Montgomery. The network helps show where Deane Montgomery may publish in the future.
Co-authors
The 11 scholars most cited alongside Deane Montgomery, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 25 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Topological Transformation Groups Hit paper breakdown → | 1964 | 462 |
| 2 | 1952 | 43 | |
| 3 | 1962 | 36 | |
| 4 | 1962 | 28 | |
| 5 | 1954 | 23 | |
| 6 | 1968 | 16 | |
| 7 | 1962 | 15 | |
| 8 | 1957 | 14 | |
| 9 | 1954 | 12 | |
| 10 | 1951 | 12 | |
| 11 | 1955 | 10 | |
| 12 | 1952 | 10 | |
| 13 | 1972 | 10 | |
| 14 | 1963 | 6 | |
| 15 | 1971 | 5 | |
| 16 | 1983 | 3 | |
| 17 | 1973 | 2 | |
| 18 | 1954 | 2 | |
| 19 | 1973 | 2 | |
| 20 | 1951 | 1 |
About Deane Montgomery
Deane Montgomery is a scholar working on Mathematical Physics, Geometry and Topology, Algebra and Number Theory, Safety Research and Economics and Econometrics, having authored 25 papers that have together received 715 indexed citations. Recurring topics across this work include Geometric and Algebraic Topology (7 papers), Mathematical Dynamics and Fractals (7 papers), Homotopy and Cohomology in Algebraic Topology (5 papers), Mathematics and Applications (2 papers), Advanced Topics in Algebra (2 papers), Career Development and Diversity (2 papers), Innovation Policy and R&D (1 paper) and Functional Equations Stability Results (1 paper). The work is most often cited by research in Geometry and Topology (423 citations), Mathematical Physics (420 citations), Algebra and Number Theory (147 citations), Theoretical Computer Science (26 citations) and Discrete Mathematics and Combinatorics (53 citations). Deane Montgomery has collaborated with scholars based in United States. Frequent co-authors include Leo Zippin, C. T. Yang, Hans Samelson, P. E. Conner, Oswald Veblen, Lipman Bers, Henri Cartan, Georges de Rham, M. H. Stone and Saunders Mac Lane. Their work appears in journals such as Proceedings of the American Mathematical Society, Annals of Mathematics, The Michigan Mathematical Journal, Proceedings of the National Academy of Sciences and Bulletin of the American Mathematical Society.
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.