Deane Montgomery

2.6k total citations · 1 hit paper
22 papers, 633 citations indexed

About

Deane Montgomery is a scholar working on Geometry and Topology, Mathematical Physics and Safety Research. According to data from OpenAlex, Deane Montgomery has authored 22 papers receiving a total of 633 indexed citations (citations by other indexed papers that have themselves been cited), including 8 papers in Geometry and Topology, 7 papers in Mathematical Physics and 2 papers in Safety Research. Recurrent topics in Deane Montgomery's work include Geometric and Algebraic Topology (6 papers), Mathematical Dynamics and Fractals (5 papers) and Homotopy and Cohomology in Algebraic Topology (4 papers). Deane Montgomery is often cited by papers focused on Geometric and Algebraic Topology (6 papers), Mathematical Dynamics and Fractals (5 papers) and Homotopy and Cohomology in Algebraic Topology (4 papers). Deane Montgomery collaborates with scholars based in United States. Deane Montgomery's 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 and has published in prestigious journals such as Science, Proceedings of the National Academy of Sciences and Annals of Mathematics.

In The Last Decade

Deane Montgomery

17 papers receiving 420 citations

Hit Papers

align trajectories

What are hit papers?

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.

Topological Transformation Groups

1964 432 citations Deane Montgomery, Leo Zippin profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Deane Montgomery United States	10	364	362	148	132	91	22	633
Emery Thomas United States	15	479 1.3×	525 1.5×	122 0.8×	251 1.9×	121 1.3×	56	789
Hirosi Toda Japan	21	819 2.3×	713 2.0×	79 0.5×	422 3.2×	113 1.2×	52	1.0k
E. E. Floyd United States	15	389 1.1×	380 1.0×	108 0.7×	140 1.1×	121 1.3×	34	632
Beno Eckmann Switzerland	16	549 1.5×	644 1.8×	95 0.6×	321 2.4×	153 1.7×	53	942
E. R. Kolchin United States	11	149 0.4×	378 1.0×	81 0.5×	149 1.1×	303 3.3×	18	628
W. C. Hsiang United States	20	797 2.2×	770 2.1×	183 1.2×	294 2.2×	106 1.2×	50	1.0k
John W. Gray United States	8	254 0.7×	316 0.9×	152 1.0×	90 0.7×	77 0.8×	22	517
M. Hasse Germany	10	109 0.3×	181 0.5×	55 0.4×	93 0.7×	94 1.0×	32	380
C. T. Yang United States	15	292 0.8×	303 0.8×	162 1.1×	91 0.7×	128 1.4×	36	547
Aldo Andreotti United States	20	592 1.6×	1.1k 3.0×	760 5.1×	204 1.5×	172 1.9×	38	1.5k

Countries citing papers authored by Deane Montgomery

Since Specialization

Citations

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

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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 of co-authors of Deane Montgomery

This figure shows the co-authorship network connecting the top 25 collaborators of Deane Montgomery. A scholar is included among the top collaborators of Deane Montgomery 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 Deane Montgomery. Deane Montgomery is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Montgomery, Deane. (1983). Remark on Continuous Collections. Proceedings of the American Mathematical Society. 88(2). 367–367. 1 indexed citations

2.

Montgomery, Deane. (1983). Remark on continuous collections. Proceedings of the American Mathematical Society. 88(2). 367–370. 3 indexed citations

3.

Bers, Lipman, Henri Cartan, Saunders Mac Lane, et al.. (1980). An Unpublished Reply. Science. 208(4439). 6–6.

4.

Montgomery, Deane & C. T. Yang. (1973). On homotopy seven-spheres that admit differentiable pseudo-free circle actions.. The Michigan Mathematical Journal. 20(3). 2 indexed citations

5.

Montgomery, Deane & C. T. Yang. (1973). Homotopy equivalence and differentiable pseudo-free circle actions on homotopy spheres.. The Michigan Mathematical Journal. 20(2). 2 indexed citations

6.

Montgomery, Deane & C. T. Yang. (1971). Differentiable Pseudo-Free Circle Actions. Proceedings of the National Academy of Sciences. 68(5). 894–896. 3 indexed citations

7.

Montgomery, Deane & Leo Zippin. (1964). Topological Transformation Groups. 432 indexed citations breakdown →

8.

Montgomery, Deane. (1963). Oswald Veblen. Bulletin of the American Mathematical Society. 69(1). 26–36. 3 indexed citations

9.

Montgomery, Deane & Hans Samelson. (1962). On the action of SO(3) onSⁿ. Pacific Journal of Mathematics. 12(2). 649–659. 36 indexed citations

10.

Montgomery, Deane & C. T. Yang. (1962). A theorem on the action of SO(3). Pacific Journal of Mathematics. 12(4). 1385–1400. 28 indexed citations

11.

Montgomery, Deane. (1959). Groups on $R^n$ or $S^n$.. The Michigan Mathematical Journal. 6(2). 1 indexed citations

12.

Montgomery, Deane. (1957). Finite dimensionality of certain transformation groups. Illinois Journal of Mathematics. 1(1). 12 indexed citations

13.

Montgomery, Deane & Hans Samelson. (1955). A Theorem On Fixed Points Of Involutions In S³. Canadian Journal of Mathematics. 7. 208–220. 9 indexed citations

14.

Montgomery, Deane & Leo Zippin. (1954). Examples of Transformation Groups. Proceedings of the American Mathematical Society. 5(3). 460–460. 12 indexed citations

15.

Montgomery, Deane & Leo Zippin. (1954). Examples of transformation groups. Proceedings of the American Mathematical Society. 5(3). 460–465. 20 indexed citations

16.

Montgomery, Deane & Oswald Veblen. (1954). Nels Johann Lennes. Bulletin of the American Mathematical Society. 60(3). 264–265. 1 indexed citations

17.

Montgomery, Deane & Leo Zippin. (1952). Small Subgroups of Finite-Dimensional Groups. Annals of Mathematics. 56(2). 213–213. 37 indexed citations

18.

Montgomery, Deane & Leo Zippin. (1952). Small Subgroups of Finite-Dimensional groups. Proceedings of the National Academy of Sciences. 38(5). 440–442. 9 indexed citations

19.

Montgomery, Deane & Leo Zippin. (1951). Two-dimensional subgroups. Proceedings of the American Mathematical Society. 2(5). 822–838. 1 indexed citations

20.

Montgomery, Deane & Leo Zippin. (1951). Existence of Subgroups Isomorphic to the Real Numbers. Annals of Mathematics. 53(2). 298–298. 11 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.

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