Alan W. Reid

2.9k total citations
89 papers, 1.1k citations indexed

About

Alan W. Reid is a scholar working on Geometry and Topology, Mathematical Physics and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Alan W. Reid has authored 89 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 78 papers in Geometry and Topology, 63 papers in Mathematical Physics and 20 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Alan W. Reid's work include Geometric and Algebraic Topology (74 papers), Mathematical Dynamics and Fractals (36 papers) and Homotopy and Cohomology in Algebraic Topology (17 papers). Alan W. Reid is often cited by papers focused on Geometric and Algebraic Topology (74 papers), Mathematical Dynamics and Fractals (36 papers) and Homotopy and Cohomology in Algebraic Topology (17 papers). Alan W. Reid collaborates with scholars based in United States, United Kingdom and France. Alan W. Reid's co-authors include Colin M. MacLachlan, D. D. Long, Walter D. Neumann, D. Cooper, Colin Adams, C. McA. Gordon, Ted Chinburg, Christopher J. Leininger, Martin R. Bridson and Patrick J. Callahan and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Alan W. Reid

81 papers receiving 988 citations

Peers

Alan W. Reid

GT

MP

DMC

AM

CTM

Selman Akbulut United States

András I. Stipsicz Hungary

Marc Culler United States

Roger Fenn United Kingdom

Yakov Eliashberg United States

Daniel T. Wise Canada

Friedhelm Waldhausen Germany

Seiichi Kamada Japan

Hamish Short France

William Jaco United States

Selman Akbulut United States

Alan W. Reid

887 ×0.8

GT

666 ×0.8

MP

222 ×0.7

DMC

134 ×0.8

AM

149 ×1.0

CTM

Citations per year, relative to Alan W. Reid Alan W. Reid (= 1×) peers Selman Akbulut

Countries citing papers authored by Alan W. Reid

Since Specialization

Citations

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

Fields of papers citing papers by Alan W. Reid

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Alan W. Reid. 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 Alan W. Reid. The network helps show where Alan W. Reid may publish in the future.

Co-authorship network of co-authors of Alan W. Reid

This figure shows the co-authorship network connecting the top 25 collaborators of Alan W. Reid. A scholar is included among the top collaborators of Alan W. Reid 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 Alan W. Reid. Alan W. Reid 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.

Lubotzky, Alexander, et al.. (2024). Property FA is not a profinite property. Groups Geometry and Dynamics. 19(3). 1081–1087. 1 indexed citations

2.

Baker, Mark D. & Alan W. Reid. (2023). Infinitely many arithmetic alternating links. Algebraic & Geometric Topology. 23(6). 2857–2866.

3.

Reid, Alan W., et al.. (2022). Infinitely many arithmetic hyperbolic rational homology 3–spheres that bound geometrically. Transactions of the American Mathematical Society. 376(3). 1979–1997.

4.

Bridson, Martin R., et al.. (2021). On the profinite rigidity of triangle groups. Oxford University Research Archive (ORA) (University of Oxford). 1 indexed citations

5.

Baker, Mark D., et al.. (2019). All principal congruence link groups. Journal of Algebra. 528. 497–504. 4 indexed citations

6.

Reid, Alan W., et al.. (2018). Determining hyperbolic 3-manifolds by their surfaces. Proceedings of the American Mathematical Society. 147(1). 443–450. 1 indexed citations

7.

Reid, Alan W., et al.. (2017). Embedding arithmetic hyperbolic manifolds. HAL (Le Centre pour la Communication Scientifique Directe). 10 indexed citations

8.

Basmajian, Ara, et al.. (2017). In the Tradition of Ahlfors–Bers, VII. Contemporary mathematics - American Mathematical Society. 3 indexed citations

9.

Reid, Alan W.. (2014). Traces, lengths, axes and commensurability. Annales de la faculté des sciences de Toulouse Mathématiques. 23(5). 1103–1118. 1 indexed citations

10.

Long, D. D. & Alan W. Reid. (2007). Subgroup separability and virtual retractions of groups. Topology. 47(3). 137–159. 17 indexed citations

11.

Long, D. D., Colin M. MacLachlan, & Alan W. Reid. (2006). Arithmetic Fuchsian Groups of Genus Zero. Pure and Applied Mathematics Quarterly. 2(2). 569–599. 26 indexed citations

12.

Reid, Alan W.. (2005). Hidden depths: The story of hypnosis. Journal of Forensic Psychiatry and Psychology. 16(4). 768–770. 1 indexed citations

13.

Gordon, C. McA., D. D. Long, & Alan W. Reid. (2004). Surface subgroups of Coxeter and Artin groups. Journal of Pure and Applied Algebra. 189(1-3). 135–148. 17 indexed citations

14.

Chinburg, Ted, et al.. (2001). The arithmetic hyperbolic 3-manifold of smallest volume. French digital mathematics library (Numdam). 30(1). 1–40. 17 indexed citations

15.

Reid, Alan W., et al.. (2000). Vol3 and other exceptional hyperbolic 3-manifolds. Proceedings of the American Mathematical Society. 129(7). 2175–2185. 7 indexed citations

16.

Cooper, D., D. D. Long, & Alan W. Reid. (1997). Finite foliations and similarity interval exchange maps. Topology. 36(1). 209–227. 6 indexed citations

17.

MacLachlan, Colin M. & Alan W. Reid. (1997). Generalised Fibonacci manifolds. Transformation Groups. 2(2). 165–182. 20 indexed citations

18.

Adams, Colin & Alan W. Reid. (1996). Unknotting tunnels in two-bridge knot and link complements. Commentarii Mathematici Helvetici. 71(1). 617–627. 18 indexed citations

19.

Reid, Alan W.. (1995). A non-Haken hyperbolic 3-manifold covered by a surface bundle. Pacific Journal of Mathematics. 167(1). 163–182. 23 indexed citations

20.

Gordon, C. McA. & Alan W. Reid. (1995). TANGLE DECOMPOSITIONS OF TUNNEL NUMBER ONE KNOTS AND LINKS. Journal of Knot Theory and Its Ramifications. 4(3). 389–409. 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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