Deane Montgomery
- Geometry and Topology top 2%
- Geometric and Algebraic Topology 6
- Mathematics and Applications 2
- Mathematical Physics top 2%
- Mathematical Dynamics and Fractals 5
- Homotopy and Cohomology in Algebraic Topology 4
- Algebra and Number Theory top 10%
- Advanced Topics in Algebra 1
- Theoretical Computer Science top 10%
-
- Career Development and Diversity 2
-
- Functional Equations Stability Results 1
-
- Computational Geometry and Mesh Generation 1
Deane Montgomery
17 papers receiving 420 citations
Hit Papers
Peers
Comparison fields: 5 of 52
- Geometry and Topology 362
- Mathematical Physics 364
- Algebra and Number Theory 132
- Theoretical Computer Science 19
- Discrete Mathematics and Combinatorics 50
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-authorship network
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
| # | Work | ||
|---|---|---|---|
| 1 | 1983 | 1 | |
| 2 | 1983 | 3 | |
| 3 | 1980 | 0 | |
| 4 | 1973 | 2 | |
| 5 | 1973 | 2 | |
| 6 | 1971 | 3 | |
| 7 | Topological Transformation Groupsbreakdown → | 1964 | 432 |
| 8 | 1963 | 3 | |
| 9 | 1962 | 36 | |
| 10 | 1962 | 28 | |
| 11 | 1959 | 1 | |
| 12 | 1957 | 12 | |
| 13 | 1955 | 9 | |
| 14 | 1954 | 12 | |
| 15 | 1954 | 20 | |
| 16 | 1954 | 1 | |
| 17 | 1952 | 37 | |
| 18 | 1952 | 9 | |
| 19 | 1951 | 1 | |
| 20 | 1951 | 11 |
About Deane Montgomery
Deane Montgomery is a scholar working on Geometry and Topology, Theoretical Computer Science, Mathematical Physics, Discrete Mathematics and Combinatorics and Computer Graphics and Computer-Aided Design, having authored 22 papers that have together received 633 indexed citations. Recurring topics across this work include Geometric and Algebraic Topology (6 papers), Mathematical Dynamics and Fractals (5 papers), Homotopy and Cohomology in Algebraic Topology (4 papers), Mathematics and Applications (2 papers), Career Development and Diversity (2 papers), Functional Equations Stability Results (1 paper), Advanced Topics in Algebra (1 paper) and Computational Geometry and Mesh Generation (1 paper). The work is most often cited by research in Geometry and Topology (362 citations), Mathematical Physics (364 citations), Algebra and Number Theory (132 citations), Theoretical Computer Science (19 citations) and Discrete Mathematics and Combinatorics (50 citations). Deane Montgomery has collaborated with scholars based in United States. Frequent co-authors include Leo Zippin, Hans Samelson, C. T. Yang, P. E. Conner, Oswald Veblen, M. H. Stone, Oscar Zariski, Lipman Bers, Saunders Mac Lane and Henri Cartan. Their work appears in journals such as Proceedings of the American Mathematical Society, The Michigan Mathematical Journal, Annals of Mathematics, 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.