Robion Kirby

3.3k total citations
27 papers, 1.7k citations indexed

About

Robion Kirby is a scholar working on Geometry and Topology, Mathematical Physics and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Robion Kirby has authored 27 papers receiving a total of 1.7k indexed citations (citations by other indexed papers that have themselves been cited), including 16 papers in Geometry and Topology, 15 papers in Mathematical Physics and 5 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Robion Kirby's work include Geometric and Algebraic Topology (14 papers), Homotopy and Cohomology in Algebraic Topology (12 papers) and Advanced Combinatorial Mathematics (5 papers). Robion Kirby is often cited by papers focused on Geometric and Algebraic Topology (14 papers), Homotopy and Cohomology in Algebraic Topology (12 papers) and Advanced Combinatorial Mathematics (5 papers). Robion Kirby collaborates with scholars based in United States, Canada and United Kingdom. Robion Kirby's co-authors include Paul Melvin, Robert D. Edwards, Selman Akbulut, David Gay, W. B. R. Lickorish, John Harer, Arnold Kas, Abigail Thompson, Xingru Zhang and Cameron Gordon and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Communications in Mathematical Physics and Annals of Mathematics.

In The Last Decade

Robion Kirby

27 papers receiving 1.3k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Robion Kirby United States 17 1.5k 1.3k 314 233 217 27 1.7k
Friedhelm Waldhausen Germany 12 1.4k 0.9× 1.0k 0.8× 245 0.8× 250 1.1× 217 1.0× 18 1.5k
Colin Rourke United Kingdom 13 992 0.7× 771 0.6× 376 1.2× 95 0.4× 365 1.7× 27 1.3k
Sylvain E. Cappell United States 19 935 0.6× 898 0.7× 143 0.5× 225 1.0× 183 0.8× 73 1.2k
Benson Farb United States 21 1.6k 1.1× 1.3k 1.0× 305 1.0× 279 1.2× 291 1.3× 65 1.8k
Peter Scott United States 14 1.5k 1.0× 1.0k 0.8× 321 1.0× 523 2.2× 241 1.1× 33 1.6k
Egbert Brieskorn Germany 13 1.3k 0.8× 684 0.5× 251 0.8× 262 1.1× 291 1.3× 25 1.5k
Jerome Levine United States 20 1.3k 0.8× 1.0k 0.8× 211 0.7× 139 0.6× 201 0.9× 52 1.4k
Marc Culler United States 16 1.6k 1.1× 1.2k 0.9× 465 1.5× 217 0.9× 280 1.3× 36 1.6k
Michael Kapovich United States 20 1.1k 0.7× 833 0.6× 226 0.7× 288 1.2× 101 0.5× 73 1.3k
John J. Millson United States 20 1.1k 0.7× 968 0.7× 231 0.7× 204 0.9× 50 0.2× 61 1.4k

Countries citing papers authored by Robion Kirby

Since Specialization
Citations

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

Fields of papers citing papers by Robion Kirby

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Robion Kirby. 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 Robion Kirby. The network helps show where Robion Kirby may publish in the future.

Co-authorship network of co-authors of Robion Kirby

This figure shows the co-authorship network connecting the top 25 collaborators of Robion Kirby. A scholar is included among the top collaborators of Robion Kirby 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 Robion Kirby. Robion Kirby 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.
Kirby, Robion. (2018). Trisections of 4-manifolds. Proceedings of the National Academy of Sciences. 115(43). 10853–10856. 1 indexed citations
2.
Gay, David & Robion Kirby. (2011). Fiber-connected, indefinite Morse 2-functions on connected n -manifolds. Proceedings of the National Academy of Sciences. 108(20). 8122–8125. 6 indexed citations
3.
Gay, David & Robion Kirby. (2004). Constructing symplectic forms on 4–manifolds which vanish on circles. Geometry & Topology. 8(2). 743–777. 16 indexed citations
4.
Kirby, Robion & Paul Melvin. (2004). Local surgery formulas for quantum invariants and the Arf invariant. Geometry and topology monographs. 213–233. 8 indexed citations
5.
Kirby, Robion & Paul Melvin. (1994). Dedekind sums, ?-invariants and the signature cocycle. Mathematische Annalen. 299(1). 231–267. 39 indexed citations
6.
Donaldson, Simon, Dusa McDuff, Helmut Hofer, et al.. (1991). Geometry of Low-Dimensional Manifolds. Cambridge University Press eBooks. 7 indexed citations
7.
Kirby, Robion & Paul Melvin. (1991). The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl(2, C). Inventiones mathematicae. 105(1). 473–545. 184 indexed citations
8.
Kirby, Robion. (1989). The Topology of 4-Manifolds. Lecture notes in mathematics. 188 indexed citations
9.
Harer, John, Arnold Kas, & Robion Kirby. (1986). Handlebody decompositions of complex surfaces. Memoirs of the American Mathematical Society. 62(350). 0–0. 38 indexed citations
10.
11.
Gordon, Cameron, et al.. (1984). Four-Manifold Theory. Contemporary mathematics - American Mathematical Society. 6 indexed citations
12.
Akbulut, Selman & Robion Kirby. (1980). Branched covers of surfaces in 4-manifolds. Mathematische Annalen. 252(2). 111–131. 79 indexed citations
13.
Akbulut, Selman & Robion Kirby. (1979). An exotic involution of S4. Topology. 18(1). 75–81. 16 indexed citations
14.
Akbulut, Selman & Robion Kirby. (1979). Mazur manifolds.. The Michigan Mathematical Journal. 26(3). 21 indexed citations
15.
Kirby, Robion & W. B. R. Lickorish. (1979). Prime knots and concordance. Mathematical Proceedings of the Cambridge Philosophical Society. 86(3). 437–441. 36 indexed citations
16.
Kirby, Robion & Paul Melvin. (1978). Slice knots and property R. Inventiones mathematicae. 45(1). 57–59. 13 indexed citations
17.
Kirby, Robion, et al.. (1977). Foundational Essays on Topological Manifolds, Smoothings, and Triangulations.. Medical Entomology and Zoology. 306 indexed citations
18.
Edwards, Robert D. & Robion Kirby. (1971). Deformations of Spaces of Imbeddings. Annals of Mathematics. 93(1). 63–63. 150 indexed citations
19.
Kirby, Robion. (1968). The union of flat (𝑛-1)-balls is flat in 𝑅ⁿ. Bulletin of the American Mathematical Society. 74(3). 614–617. 6 indexed citations
20.
Kirby, Robion. (1968). On the Set of Non-Locally Flat Points of a Submanifold of Codimension One. Annals of Mathematics. 88(2). 281–281. 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.

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