Robert F. Brown

3.0k total citations · 1 hit paper
117 papers, 1.5k citations indexed

About

Robert F. Brown is a scholar working on Geometry and Topology, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Robert F. Brown has authored 117 papers receiving a total of 1.5k indexed citations (citations by other indexed papers that have themselves been cited), including 50 papers in Geometry and Topology, 39 papers in Mathematical Physics and 20 papers in Computational Theory and Mathematics. Recurrent topics in Robert F. Brown's work include Homotopy and Cohomology in Algebraic Topology (31 papers), Geometric and Algebraic Topology (13 papers) and Advanced Topics in Algebra (13 papers). Robert F. Brown is often cited by papers focused on Homotopy and Cohomology in Algebraic Topology (31 papers), Geometric and Algebraic Topology (13 papers) and Advanced Topics in Algebra (13 papers). Robert F. Brown collaborates with scholars based in United States, Canada and United Kingdom. Robert F. Brown's co-authors include Helga Schirmer, Douglas H. Taylor, Edward Fadell, Robert E. Greene, Martin Arkowitz, Brian Sanderson, Peter C. Hodgson, Timothy J. Eden, Georg Wilhelm Friedrich Hegel and Gregory M. Smith and has published in prestigious journals such as Annals of Mathematics, Journal of the Franklin Institute and Transactions of the American Mathematical Society.

In The Last Decade

Robert F. Brown

99 papers receiving 1.1k 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.

The Lefschetz fixed point theorem

1971 380 citations Robert F. Brown profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Robert F. Brown United States	17	780	690	301	300	238	117	1.5k
Edgar H. Brown United States	18	914 1.2×	873 1.3×	304 1.0×	288 1.0×	354 1.5×	55	1.8k
Abraham Robinson United States	19	449 0.6×	815 1.2×	174 0.6×	901 3.0×	172 0.7×	57	2.1k
Georg Pólya United States	15	465 0.6×	607 0.9×	976 3.2×	701 2.3×	152 0.6×	36	2.2k
Richard Arens United States	21	454 0.6×	1.1k 1.5×	691 2.3×	512 1.7×	770 3.2×	98	2.1k
Andrew M. Gleason United States	16	429 0.6×	358 0.5×	167 0.6×	367 1.2×	296 1.2×	42	1.4k
Carl Ludwig Siegel Germany	14	500 0.6×	440 0.6×	195 0.6×	90 0.3×	320 1.3×	35	1.1k
Joel W. Robbin United States	16	684 0.9×	869 1.3×	322 1.1×	305 1.0×	71 0.3×	38	1.4k
Harold M. Edwards United States	14	310 0.4×	249 0.4×	140 0.5×	134 0.4×	343 1.4×	41	1.1k
R. P. Boas United States	20	286 0.4×	382 0.6×	830 2.8×	196 0.7×	257 1.1×	121	1.6k
Glen E. Bredon United States	16	968 1.2×	984 1.4×	209 0.7×	260 0.9×	352 1.5×	36	1.5k

Countries citing papers authored by Robert F. Brown

Since Specialization

Citations

This map shows the geographic impact of Robert F. Brown'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 Robert F. Brown with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Robert F. Brown more than expected).

Fields of papers citing papers by Robert F. Brown

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Robert F. Brown. 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 Robert F. Brown. The network helps show where Robert F. Brown may publish in the future.

Co-authorship network of co-authors of Robert F. Brown

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

All Works

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20 of 20 papers shown

1.

Brown, Robert F., et al.. (2020). Lifting classes for the fixed point theory of n-valued maps. Lirias (KU Leuven). 5 indexed citations

2.

Brown, Robert F.. (2015). Construction of multiply fixed n-valued maps. Topology and its Applications. 196. 249–259. 4 indexed citations

3.

Hegel, Georg Wilhelm Friedrich, et al.. (2014). Lectures on the philosophy of art : the Hotho transcript of the 1823 Berlin lectures. Clarendon Press eBooks. 4 indexed citations

4.

Brown, Robert F.. (2006). Fixed Points of n-Valued Multimaps of the Circle. Bulletin of the Polish Academy of Sciences Mathematics. 54(2). 153–162. 13 indexed citations

5.

Brown, Robert F., Boju Jiang, & Helga Schirmer. (1995). Roots of iterates of maps. Topology and its Applications. 66(2). 129–157. 2 indexed citations

6.

Brown, Robert F. & Helga Schirmer. (1995). Correction to “Nielsen coincidence theory and coincidence-producing maps for manifolds with boundary”. Topology and its Applications. 67(3). 233–234. 4 indexed citations

7.

Brown, Robert F. & Helga Schirmer. (1992). Nielsen coincidence theory and coincidence-producing maps for manifolds with boundary. Topology and its Applications. 46(1). 65–79. 14 indexed citations

8.

Hegel, Georg Wilhelm Friedrich, et al.. (1990). Medieval and modern philosophy. University of California Press eBooks. 3 indexed citations

9.

Brown, Robert F.. (1990). Resources In Schelling For New Directions In Theology. Idealistic Studies. 20(1). 1–17. 1 indexed citations

10.

Brown, Robert F.. (1990). Hegel’s Lectures on the History of Philosophy. Owl of Minerva. 21(2). 219–222. 18 indexed citations

11.

Brown, Robert F.. (1984). The Transcendental Fall In Kant and Schelling. Idealistic Studies. 14(1). 49–66. 1 indexed citations

12.

Brown, Robert F.. (1983). Hegel’s Lectures on the Philosophy of Religion. Owl of Minerva. 14(3). 1–6. 2 indexed citations

13.

Brown, Robert F.. (1981). Attempt at a Critique of All Revelation. Owl of Minerva. 13(2). 4–6. 8 indexed citations

14.

Brown, Robert F.. (1978). Schelling’s Idealism and Philosophy of Nature. Owl of Minerva. 9(3). 5–7. 16 indexed citations

15.

Brown, Robert F., et al.. (1975). Nielsen Numbers of Maps of Tori. Proceedings of the American Mathematical Society. 52(1). 398–398. 23 indexed citations

16.

Brown, Robert F.. (1974). Elementary Consequences of the Noncontractibility of the Circle. American Mathematical Monthly. 81(3). 247–247. 1 indexed citations

17.

Brown, Robert F.. (1971). Notes on Leray's index theory. Advances in Mathematics. 7(1). 1–28. 6 indexed citations

18.

Brown, Robert F. & Edward Fadell. (1965). Nonsingular path fields on compact topological manifolds. Proceedings of the American Mathematical Society. 16(6). 1342–1349. 8 indexed citations

19.

Brown, Robert F. & Edward Fadell. (1965). Nonsingular Path Fields on Compact Topological Manifolds. Proceedings of the American Mathematical Society. 16(6). 1342–1342. 7 indexed citations

20.

Brown, Robert F., et al.. (1962). MAGNETIC RECORDING STANDARDS. Defense Technical Information Center (DTIC). 1 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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