J. Coates

2.2k total citations
27 papers, 1.1k citations indexed

About

J. Coates is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, J. Coates has authored 27 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 20 papers in Geometry and Topology, 15 papers in Mathematical Physics and 12 papers in Algebra and Number Theory. Recurrent topics in J. Coates's work include Algebraic Geometry and Number Theory (18 papers), Advanced Algebra and Geometry (7 papers) and Analytic Number Theory Research (7 papers). J. Coates is often cited by papers focused on Algebraic Geometry and Number Theory (18 papers), Advanced Algebra and Geometry (7 papers) and Analytic Number Theory Research (7 papers). J. Coates collaborates with scholars based in United States, United Kingdom and India. J. Coates's co-authors include J. Herbert, Andrew Wiles, R. Sujatha, Ralph Greenberg, W. Sinnott, A. Baker, Stephen Lichtenbaum, Peter Schneider, Vladimir Dokchitser and Tim Dokchitser and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Annals of Mathematics and Inventiones mathematicae.

In The Last Decade

J. Coates

24 papers receiving 920 citations

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author Last Decade Papers Cites
J. Coates 618 453 349 130 100 27 1.1k
John Coates 396 0.6× 322 0.7× 209 0.6× 166 1.3× 38 0.4× 48 958
John R. Steel 957 1.5× 553 1.2× 119 0.3× 115 0.9× 822 8.2× 84 1.4k
Marshall M. Cohen 402 0.7× 377 0.8× 82 0.2× 7 0.1× 163 1.6× 20 790
Bernard Perron 114 0.2× 94 0.2× 6 0.0× 18 0.1× 22 0.2× 44 617
Robert J. Silverman 39 0.1× 104 0.2× 68 0.2× 30 0.2× 51 0.5× 56 500
Richard Garner 190 0.3× 238 0.5× 114 0.3× 8 0.1× 63 0.6× 54 503
Paul Garrett 152 0.2× 215 0.5× 150 0.4× 23 0.2× 19 0.2× 41 814
Uri Leron 170 0.3× 8 0.0× 158 0.5× 49 0.4× 62 0.6× 45 1.0k
David Clark 26 0.0× 71 0.2× 3 0.0× 70 0.5× 203 2.0× 47 768
John Selden 48 0.1× 30 0.1× 16 0.0× 40 0.3× 69 0.7× 47 813

Countries citing papers authored by J. Coates

Since Specialization
Citations

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

Fields of papers citing papers by J. Coates

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of J. Coates

This figure shows the co-authorship network connecting the top 25 collaborators of J. Coates. A scholar is included among the top collaborators of J. Coates 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 J. Coates. J. Coates 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
2.
Coates, J., et al.. (2010). Guwahati Workshop on Iwasawa Theory of Totally Real Fields.
3.
Coates, J., Zhibin Liang, & R. Sujatha. (2010). The Tate-Shafarevich Group for Elliptic Curves with Complex Multiplication II. Milan Journal of Mathematics. 78(2). 395–416. 2 indexed citations
4.
Coates, J., Zhibin Liang, & R. Sujatha. (2009). The Tate–Shafarevich group for elliptic curves with complex multiplication. Journal of Algebra. 322(3). 657–674. 2 indexed citations
5.
Coates, J. & J. Herbert. (2008). Endogenous steroids and financial risk taking on a London trading floor. Proceedings of the National Academy of Sciences. 105(16). 6167–6172. 405 indexed citations
6.
Coates, J. & R. Sujatha. (2005). Fine Selmer groups of elliptic curves over p-adic Lie extensions. Mathematische Annalen. 331(4). 809–839. 52 indexed citations
7.
Coates, J., Peter Schneider, & R. Sujatha. (2003). MODULES OVER IWASAWA ALGEBRAS. Journal of the Institute of Mathematics of Jussieu. 2(1). 73–108. 34 indexed citations
8.
Coates, J. & R. Sujatha. (2000). Galois Cohomology of Elliptic Curves. CERN Document Server (European Organization for Nuclear Research). 39 indexed citations
9.
Coates, J. & Shing Tung Yau. (1997). Elliptic curves, modular forms & Fermat's last theorem : proceedings of a conference held in the Institute of Mathematics of the Chinese University of Hong Kong. 1 indexed citations
10.
Coates, J. & Andrew Wiles. (1978). On p-adic L-functions and elliptic units. Journal of the Australian Mathematical Society. 26(1). 1–25. 38 indexed citations
11.
Coates, J. & W. Sinnott. (1977). Integrality Properties of the Values of Partial Zeta Functions. Proceedings of the London Mathematical Society. s3-34(2). 365–384. 14 indexed citations
12.
Baker, A. & J. Coates. (1975). Fractional parts of powers of rationals. Mathematical Proceedings of the Cambridge Philosophical Society. 77(2). 269–279. 12 indexed citations
13.
Coates, J. & W. Sinnott. (1974). An analogue of Stickelberger's theorem for the higherK-groups. Inventiones mathematicae. 24(2). 149–161. 38 indexed citations
14.
Coates, J. & Stephen Lichtenbaum. (1973). On l-Adic Zeta Functions. Annals of Mathematics. 98(3). 498–498. 43 indexed citations
15.
Coates, J.. (1971). An application of the Thue–Siegel–Roth theorem to elliptic functions. Mathematical Proceedings of the Cambridge Philosophical Society. 69(1). 157–161. 2 indexed citations
16.
Coates, J.. (1970). Construction of rational functions on a curve. Mathematical Proceedings of the Cambridge Philosophical Society. 68(1). 105–123. 34 indexed citations
17.
Coates, J.. (1970). An effective p-adic analogue of a theorem of Thue III. The diophantine equation $y^2 = x^2 + k$. Acta Arithmetica. 16(4). 425–436. 17 indexed citations
18.
Coates, J.. (1970). An application of the division theory of elliptic functions to diophantine approximation. Inventiones mathematicae. 11(2). 167–182. 14 indexed citations
19.
Coates, J.. (1970). An effective p-adic analogue of a theorem of Thue II. The greatest prime factor of a binary form. Acta Arithmetica. 16(4). 399–412. 13 indexed citations
20.
Coates, J.. (1969). An effective p-adic analogue of a theorem of Thue. Acta Arithmetica. 15(3). 279–305. 30 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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