Rafe Jones

536 total citations
18 papers, 187 citations indexed

About

Rafe Jones is a scholar working on Geometry and Topology, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Rafe Jones has authored 18 papers receiving a total of 187 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Geometry and Topology, 11 papers in Mathematical Physics and 4 papers in Computational Theory and Mathematics. Recurrent topics in Rafe Jones's work include Algebraic Geometry and Number Theory (12 papers), Mathematical Dynamics and Fractals (8 papers) and advanced mathematical theories (4 papers). Rafe Jones is often cited by papers focused on Algebraic Geometry and Number Theory (12 papers), Mathematical Dynamics and Fractals (8 papers) and advanced mathematical theories (4 papers). Rafe Jones collaborates with scholars based in United States, Netherlands and Canada. Rafe Jones's co-authors include Nigel Boston, Jeremy Rouse, Robert L. Benedetto, Alon Y. Levy, Thomas J. Tucker, Michael E. Zieve and John R. Doyle and has published in prestigious journals such as Transactions of the American Mathematical Society, American Mathematical Monthly and Proceedings of the American Mathematical Society.

In The Last Decade

Rafe Jones

17 papers receiving 172 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Rafe Jones United States	9	148	105	70	47	37	18	187
Jerzy Browkin Poland	10	169 1.1×	87 0.8×	74 1.1×	59 1.3×	30 0.8×	32	223
Clemens Fuchs Austria	8	158 1.1×	97 0.9×	140 2.0×	63 1.3×	38 1.0×	37	224
Noam D. Elkies United States	6	81 0.5×	65 0.6×	32 0.5×	34 0.7×	30 0.8×	9	134
Kurt Girstmair Austria	9	140 0.9×	69 0.7×	132 1.9×	38 0.8×	50 1.4×	58	221
Karim Belabas France	10	151 1.0×	78 0.7×	97 1.4×	71 1.5×	49 1.3×	22	206
Farshid Hajir United States	11	187 1.3×	88 0.8×	119 1.7×	55 1.2×	43 1.2×	31	249
Gaël Rémond France	9	180 1.2×	70 0.7×	85 1.2×	21 0.4×	70 1.9×	37	198
Pierre Dèbes France	9	180 1.2×	97 0.9×	56 0.8×	29 0.6×	58 1.6×	39	199
Roberto Dvornicich Italy	8	159 1.1×	85 0.8×	78 1.1×	33 0.7×	36 1.0×	37	199
Matthias Aschenbrenner United States	9	152 1.0×	65 0.6×	89 1.3×	17 0.4×	123 3.3×	26	214

Countries citing papers authored by Rafe Jones

Since Specialization

Citations

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

Fields of papers citing papers by Rafe Jones

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Rafe Jones

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

All Works

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18 of 18 papers shown

Jones, Rafe, et al.. (2023). Iterated monodromy groups of rational functions and periodic points over finite fields. Mathematische Annalen. 390(1). 439–475. 1 indexed citations

Doyle, John R., et al.. (2023). Galois groups and prime divisors in random quadratic sequences. Mathematical Proceedings of the Cambridge Philosophical Society. 176(1). 95–122.

Jones, Rafe & Nigel Boston. (2019). Errata to “Settled polynomials over finite fields”. Proceedings of the American Mathematical Society. 148(2). 913–914. 3 indexed citations

Jones, Rafe. (2014). Fixed-point-free elements of iterated monodromy groups. Transactions of the American Mathematical Society. 367(3). 2023–2049. 4 indexed citations

Jones, Rafe, et al.. (2014). Galois theory of quadratic rational functions. Commentarii Mathematici Helvetici. 89(1). 173–213. 8 indexed citations

Benedetto, Robert L., et al.. (2014). Attracting cycles in p-adic dynamics and height bounds for postcritically finite maps. Duke Mathematical Journal. 163(13). 12 indexed citations

Benedetto, Robert L., et al.. (2012). Critical orbits and attracting cycles in p-adic dynamics. arXiv (Cornell University). 3 indexed citations

Jones, Rafe, et al.. (2012). Newly reducible iterates in families of quadratic polynomials. Involve a Journal of Mathematics. 5(4). 481–495. 1 indexed citations

Jones, Rafe. (2011). Achievement Sets of Sequences. American Mathematical Monthly. 118(6). 508–521. 21 indexed citations

10.

Jones, Rafe & Nigel Boston. (2011). Settled polynomials over finite fields. Proceedings of the American Mathematical Society. 140(6). 1849–1863. 15 indexed citations

11.

Jones, Rafe & Jeremy Rouse. (2009). Galois theory of iterated endomorphisms. Proceedings of the London Mathematical Society. 100(3). 763–794. 17 indexed citations

12.

Boston, Nigel & Rafe Jones. (2009). The Image of an Arboreal Galois Representation. Pure and Applied Mathematics Quarterly. 5(1). 213–225. 14 indexed citations

13.

Jones, Rafe, et al.. (2009). Uniform Bounds on Pre-Images under Quadratic Dynamical Systems. Mathematical Research Letters. 16(1). 87–101. 5 indexed citations

14.

Jones, Rafe. (2008). The density of prime divisors in the arithmetic dynamics of quadratic polynomials. Journal of the London Mathematical Society. 78(2). 523–544. 40 indexed citations

15.

Jones, Rafe & Jeremy Rouse. (2007). Iterated endomorphisms of Abelian algebraic groups. arXiv (Cornell University). 5 indexed citations

16.

Jones, Rafe. (2007). Iterated Galois towers, their associated martingales, and the $p$-adic Mandelbrot set. Compositio Mathematica. 143(5). 1108–1126. 17 indexed citations

17.

Boston, Nigel & Rafe Jones. (2007). Arboreal Galois representations. Geometriae Dedicata. 124(1). 27–35. 18 indexed citations

18.

Jones, Rafe. (2005). Galois Martingales and the Hyperbolic Subset of the p-adic Mandelbrot Set. 3 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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