Robert Rumely

1.5k total citations
28 papers, 628 citations indexed

About

Robert Rumely is a scholar working on Mathematical Physics, Geometry and Topology and Applied Mathematics. According to data from OpenAlex, Robert Rumely has authored 28 papers receiving a total of 628 indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Mathematical Physics, 16 papers in Geometry and Topology and 9 papers in Applied Mathematics. Recurrent topics in Robert Rumely's work include Geometry and complex manifolds (6 papers), Algebraic Geometry and Number Theory (6 papers) and Advanced Algebra and Geometry (6 papers). Robert Rumely is often cited by papers focused on Geometry and complex manifolds (6 papers), Algebraic Geometry and Number Theory (6 papers) and Advanced Algebra and Geometry (6 papers). Robert Rumely collaborates with scholars based in United States, Australia and Germany. Robert Rumely's co-authors include Matthew Baker, Olivier Ramaré, Leonard M. Adleman, Carl Pomerance, Ted Chinburg, A. J. van der Poorten and Laura DeMarco and has published in prestigious journals such as Mathematics of Computation, Annals of Mathematics and Lecture notes in mathematics.

In The Last Decade

Robert Rumely

27 papers receiving 535 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Robert Rumely United States	12	380	257	243	148	98	28	628
Peter Shiu United Kingdom	9	379 1.0×	207 0.8×	432 1.8×	128 0.9×	97 1.0×	46	731
Andrew Bremner United States	10	311 0.8×	113 0.4×	190 0.8×	122 0.8×	103 1.1×	73	478
Hans Peter Schlickewei Germany	14	383 1.0×	218 0.8×	272 1.1×	179 1.2×	89 0.9×	44	604
A. J. van der Poorten Australia	15	238 0.6×	235 0.9×	231 1.0×	259 1.8×	119 1.2×	73	680
Jan‐Hendrik Evertse Netherlands	16	587 1.5×	283 1.1×	398 1.6×	256 1.7×	134 1.4×	56	839
Attila Pethő Hungary	17	451 1.2×	339 1.3×	257 1.1×	330 2.2×	71 0.7×	82	809
Marc Hindry France	7	476 1.3×	212 0.8×	170 0.7×	152 1.0×	78 0.8×	13	534
Graham Everest United Kingdom	10	305 0.8×	202 0.8×	144 0.6×	137 0.9×	35 0.4×	64	508
Michael A. Bennett Canada	14	422 1.1×	179 0.7×	315 1.3×	125 0.8×	39 0.4×	60	549
Jonathan Pila United Kingdom	14	576 1.5×	328 1.3×	202 0.8×	200 1.4×	132 1.3×	36	716

Countries citing papers authored by Robert Rumely

Since Specialization

Citations

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

Fields of papers citing papers by Robert Rumely

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Robert Rumely

This figure shows the co-authorship network connecting the top 25 collaborators of Robert Rumely. A scholar is included among the top collaborators of Robert Rumely 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 Rumely. Robert Rumely 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

Rumely, Robert. (2017). A new equivariant in nonarchimedean dynamics. Algebra & Number Theory. 11(4). 841–884. 2 indexed citations

Rumely, Robert. (2014). Capacity Theory With Local Rationality: The Strong Fekete-szego Theorem on Curves. CERN Document Server (European Organization for Nuclear Research).

Rumely, Robert. (2013). Capacity Theory with Local Rationality. Mathematical surveys and monographs. 1 indexed citations

Baker, Matthew & Robert Rumely. (2010). Potential Theory and Dynamics on the Berkovich Projective Line. Mathematical surveys and monographs. 86 indexed citations

Baker, Matthew, et al.. (2008). A finiteness property of torsion points. Algebra & Number Theory. 2(2). 217–248. 10 indexed citations

Baker, Matthew & Robert Rumely. (2006). Equidistribution of Small Points, Rational Dynamics, and Potential Theory. Annales de l’institut Fourier. 56(3). 625–688. 44 indexed citations

Rumely, Robert. (2006). A Robin formula for the Fekete-Leja transfinite diameter. Mathematische Annalen. 337(4). 729–738. 9 indexed citations

Chinburg, Ted, et al.. (2003). Capacity theory and arithmetic intersection theory. Duke Mathematical Journal. 117(2). 4 indexed citations

Rumely, Robert. (2002). The Fekete–Szegő theorem with splitting conditions: Part II. Acta Arithmetica. 103(4). 347–410. 3 indexed citations

10.

Rumely, Robert. (2000). The Fekete-Szegő theorem with splitting conditions: Part I. Acta Arithmetica. 93(2). 99–116. 1 indexed citations

11.

Rumely, Robert, et al.. (2000). Existence of the sectional capacity. Memoirs of the American Mathematical Society. 145(690). 0–0. 15 indexed citations

12.

Ramaré, Olivier & Robert Rumely. (1996). Primes in arithmetic progressions. Mathematics of Computation. 65(213). 397–425. 90 indexed citations

13.

Rumely, Robert. (1993). Numerical computations concerning the ERH. Mathematics of Computation. 61(203). 415–440. 31 indexed citations

14.

Rumely, Robert. (1993). Numerical Computations Concerning the ERH. Mathematics of Computation. 61(203). 415–415. 14 indexed citations

15.

Chinburg, Ted & Robert Rumely. (1993). The capacity pairing.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1993(434). 1–44. 30 indexed citations

16.

Rumely, Robert. (1993). On the relation between Cantor’s capacity and the sectional capacity. Duke Mathematical Journal. 70(3). 2 indexed citations

17.

Rumely, Robert & A. J. van der Poorten. (1987). Remarks on generalised power sums. Bulletin of the Australian Mathematical Society. 36(2). 311–329. 4 indexed citations

18.

Poorten, A. J. van der & Robert Rumely. (1987). Zeros of p-Adic Exponential Polynomials II. Journal of the London Mathematical Society. s2-36(1). 1–15. 4 indexed citations

19.

Rumely, Robert. (1983). A formula for the grössencharacter of a parametrized elliptic curve. Journal of Number Theory. 17(3). 389–402. 6 indexed citations

20.

Rumely, Robert. (1983). On the grössencharacter of an abelian variety in a parametrized family. Transactions of the American Mathematical Society. 276(1). 213–233. 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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