Benjamin Fine

1.2k total citations
80 papers, 414 citations indexed

About

Benjamin Fine is a scholar working on Geometry and Topology, Discrete Mathematics and Combinatorics and Mathematical Physics. According to data from OpenAlex, Benjamin Fine has authored 80 papers receiving a total of 414 indexed citations (citations by other indexed papers that have themselves been cited), including 53 papers in Geometry and Topology, 24 papers in Discrete Mathematics and Combinatorics and 23 papers in Mathematical Physics. Recurrent topics in Benjamin Fine's work include Geometric and Algebraic Topology (42 papers), Finite Group Theory Research (22 papers) and semigroups and automata theory (13 papers). Benjamin Fine is often cited by papers focused on Geometric and Algebraic Topology (42 papers), Finite Group Theory Research (22 papers) and semigroups and automata theory (13 papers). Benjamin Fine collaborates with scholars based in United States, Germany and Canada. Benjamin Fine's co-authors include Gerhard Rosenberger, Alexei Myasnikov, Morris Newman, James Howie, Frank Levin, Marvin Tretkoff, Gilbert Baumslag, K. J. Falconer, Delaram Kahrobaei and Charles F. Miller and has published in prestigious journals such as SHILAP Revista de lepidopterología, Transactions of the American Mathematical Society and Pacific Journal of Mathematics.

In The Last Decade

Benjamin Fine

69 papers receiving 360 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Benjamin Fine United States 11 263 176 125 118 81 80 414
Gerhard Rosenberger Germany 13 445 1.7× 231 1.3× 211 1.7× 180 1.5× 82 1.0× 124 660
Ezra Brown United States 9 175 0.7× 90 0.5× 89 0.7× 79 0.7× 145 1.8× 61 367
J. K. Truss United Kingdom 12 340 1.3× 111 0.6× 142 1.1× 310 2.6× 105 1.3× 79 501
Jürgen Klüners Germany 12 311 1.2× 106 0.6× 148 1.2× 146 1.2× 152 1.9× 30 444
Rudolf Scharlau Germany 11 187 0.7× 125 0.7× 133 1.1× 85 0.7× 79 1.0× 25 308
Burton Fein United States 10 264 1.0× 231 1.3× 131 1.0× 87 0.7× 138 1.7× 55 485
M. Ram Murty Canada 12 334 1.3× 104 0.6× 131 1.0× 50 0.4× 292 3.6× 41 483
Mark Ronan United States 12 289 1.1× 329 1.9× 195 1.6× 58 0.5× 104 1.3× 28 488
R. W. K. Odoni United Kingdom 11 197 0.7× 86 0.5× 118 0.9× 65 0.6× 169 2.1× 57 356
Alexandre Borovik United Kingdom 15 417 1.6× 482 2.7× 314 2.5× 128 1.1× 113 1.4× 71 729

Countries citing papers authored by Benjamin Fine

Since Specialization
Citations

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

Fields of papers citing papers by Benjamin Fine

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Benjamin Fine

This figure shows the co-authorship network connecting the top 25 collaborators of Benjamin Fine. A scholar is included among the top collaborators of Benjamin Fine 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 Benjamin Fine. Benjamin Fine 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.
Fine, Benjamin, et al.. (2023). Algebra and Number Theory. 3 indexed citations
2.
Fine, Benjamin, Martin Kreuzer, & Gerhard Rosenberger. (2014). Faithful real representations of cyclically pinched one-relator groups. SHILAP Revista de lepidopterología. 1 indexed citations
3.
4.
Fine, Benjamin, et al.. (2012). Computational and Combinatorial Group Theory and Cryptography. Contemporary mathematics - American Mathematical Society. 3 indexed citations
5.
6.
Fine, Benjamin & Gerhard Rosenberger. (2008). REFLECTIONS ON COMMUTATIVE TRANSITIVITY. 112–130. 1 indexed citations
7.
Fine, Benjamin, et al.. (2006). Combinatorial Group Theory, Discrete Groups, and Number Theory. Contemporary mathematics - American Mathematical Society. 5 indexed citations
8.
Fine, Benjamin & Gerhard Rosenberger. (2006). Number Theory: An Introduction via the Distribution of Primes. CERN Document Server (European Organization for Nuclear Research). 12 indexed citations
9.
Fine, Benjamin, et al.. (2005). Discriminating and Squarelike Groups II: Examples. Houston journal of mathematics. 31(3). 649–674. 2 indexed citations
10.
Fine, Benjamin, Gerhard Rosenberger, & Richard Weidmann. (2002). Two generator subgroups of free products with commuting subgroups. Journal of Pure and Applied Algebra. 172(2-3). 193–204. 1 indexed citations
11.
Fine, Benjamin, et al.. (1999). Amalgam decompositions for one-relator groups. Journal of Pure and Applied Algebra. 141(1). 1–11. 1 indexed citations
12.
Fine, Benjamin, et al.. (1998). A Classification of Fully Residually Free Groups of Rank Three or Less. Journal of Algebra. 200(2). 571–605. 18 indexed citations
13.
Fine, Benjamin, et al.. (1998). Test, generic and almost primitive elements in free groups. Matemática Contemporânea. 14(5). 7 indexed citations
14.
Fine, Benjamin & Gerhard Rosenberger. (1997). The Fundamental Theorem of Algebra. Undergraduate texts in mathematics. 34 indexed citations
15.
Fine, Benjamin. (1989). Algebraic theory of the Bianchi groups. M. Dekker eBooks. 47 indexed citations
16.
Fine, Benjamin, James Howie, & Gerhard Rosenberger. (1988). One-relator quotients and free products of cyclics. Proceedings of the American Mathematical Society. 102(2). 249–254. 23 indexed citations
17.
Fine, Benjamin, James Howie, & Gerhard Rosenberger. (1988). One-Relator Quotients and Free Products of Cyclics. Proceedings of the American Mathematical Society. 102(2). 249–249. 7 indexed citations
18.
Fine, Benjamin & Morris Newman. (1987). The Normal Subgroup Structure of the Picard Group. Transactions of the American Mathematical Society. 302(2). 769–769. 6 indexed citations
19.
Fine, Benjamin & Marvin Tretkoff. (1979). On the SQ-Universality of HNN Groups. Proceedings of the American Mathematical Society. 73(3). 283–283. 1 indexed citations
20.
Fine, Benjamin & Marvin Tretkoff. (1979). On the SQ-universality of HNN groups. Proceedings of the American Mathematical Society. 73(3). 283–290. 4 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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