S. J. Patterson

2.3k total citations
47 papers, 1.2k citations indexed

About

S. J. Patterson is a scholar working on Mathematical Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, S. J. Patterson has authored 47 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Mathematical Physics, 24 papers in Geometry and Topology and 22 papers in Algebra and Number Theory. Recurrent topics in S. J. Patterson's work include Advanced Algebra and Geometry (14 papers), Analytic Number Theory Research (12 papers) and Advanced Mathematical Identities (12 papers). S. J. Patterson is often cited by papers focused on Advanced Algebra and Geometry (14 papers), Analytic Number Theory Research (12 papers) and Advanced Mathematical Identities (12 papers). S. J. Patterson collaborates with scholars based in Germany, United Kingdom and United States. S. J. Patterson's co-authors include David Kazhdan, Peter Perry, D. R. Heath‐Brown, Ilya Piatetski-Shapiro, Ron Livné, William P. Thurston, Richard D. Canary, D. B. A. Epstein, W. K. Hayman and Ch. Pommerenke and has published in prestigious journals such as Inventiones mathematicae, Advances in Mathematics and Acta Mathematica.

In The Last Decade

S. J. Patterson

43 papers receiving 950 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
S. J. Patterson Germany	17	856	654	367	354	163	47	1.2k
Dennis A. Hejhal United States	16	943 1.1×	635 1.0×	334 0.9×	657 1.9×	186 1.1×	42	1.5k
A. L. Onishchik Russia	9	640 0.7×	726 1.1×	230 0.6×	360 1.0×	134 0.8×	22	1.0k
Hershel M. Farkas Israel	11	384 0.4×	611 0.9×	317 0.9×	224 0.6×	147 0.9×	38	1.0k
Ichirō Satake Japan	15	1.0k 1.2×	1.1k 1.6×	381 1.0×	340 1.0×	194 1.2×	36	1.4k
Frederick Greenleaf United States	17	1.1k 1.3×	602 0.9×	488 1.3×	463 1.3×	152 0.9×	50	1.5k
Lawrence Corwin United States	16	729 0.9×	543 0.8×	310 0.8×	418 1.2×	144 0.9×	61	1.1k
Atle Selberg United States	5	517 0.6×	360 0.6×	227 0.6×	395 1.1×	122 0.7×	6	828
M. S. Raghunathan India	19	1.3k 1.5×	1.2k 1.9×	322 0.9×	334 0.9×	344 2.1×	43	1.7k
Joachim Hilgert Germany	12	643 0.8×	413 0.6×	293 0.8×	308 0.9×	50 0.3×	89	934
Gerrit Heckman Netherlands	10	689 0.8×	709 1.1×	282 0.8×	258 0.7×	196 1.2×	16	1.2k

Countries citing papers authored by S. J. Patterson

Since Specialization

Citations

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

Fields of papers citing papers by S. J. Patterson

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of S. J. Patterson

This figure shows the co-authorship network connecting the top 25 collaborators of S. J. Patterson. A scholar is included among the top collaborators of S. J. Patterson 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 S. J. Patterson. S. J. Patterson 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

Canary, Richard D., D. B. A. Epstein, William P. Thurston, & S. J. Patterson. (2006). Fundamentals of Hyperbolic Manifolds. Cambridge University Press eBooks. 17 indexed citations

Livné, Ron & S. J. Patterson. (2002). The first moment of cubic exponential sums. Inventiones mathematicae. 148(1). 79–116. 9 indexed citations

Patterson, S. J. & Peter Perry. (2001). The divisor of Selberg's zeta function for Kleinian groups. Duke Mathematical Journal. 106(2). 83 indexed citations

Patterson, S. J.. (2000). On the distribution of certain Hua sums. Asian Journal of Mathematics. 4(4). 977–986. 4 indexed citations

Patterson, S. J.. (1998). The cubic Shimura correspondence. Asian Journal of Mathematics. 2(4). 957–982. 1 indexed citations

Patterson, S. J.. (1998). The level structure of exceptional metaplectic representations. Journal für die reine und angewandte Mathematik (Crelles Journal). 1998(494). 85–100. 1 indexed citations

Patterson, S. J.. (1990). Eisenstein and the quintic equation. Historia Mathematica. 17(2). 132–140. 4 indexed citations

Patterson, S. J.. (1987). Metaplectic forms and Gauss sums I. Compositio Mathematica. 62(3). 343–366. 5 indexed citations

Kazhdan, David & S. J. Patterson. (1986). Towards a generalized shimura correspondence. Advances in Mathematics. 60(2). 161–234. 24 indexed citations

10.

Patterson, S. J.. (1983). Further remarks on the exponent of convergence of Poincaré series. Tohoku Mathematical Journal. 35(3). 13 indexed citations

11.

Patterson, S. J.. (1979). Some Examples of Fuchsian Groups. Proceedings of the London Mathematical Society. s3-39(2). 276–298. 18 indexed citations

12.

Patterson, S. J. & D. R. Heath‐Brown. (1979). The distribution of Kummer sums at prime arguments.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1979(310). 111–130. 43 indexed citations

13.

Patterson, S. J.. (1978). A footnote to ‘On the coefficients of certain automorphic functions’. Mathematical Proceedings of the Cambridge Philosophical Society. 84(2). 337–341. 1 indexed citations

14.

Patterson, S. J.. (1977). A cubic analogue of the theta series. II.. Journal für die reine und angewandte Mathematik (Crelles Journal). 296. 125–161. 37 indexed citations

15.

Hayman, W. K., S. J. Patterson, & Ch. Pommerenke. (1977). On the coefficients of certain automorphic functions. Mathematical Proceedings of the Cambridge Philosophical Society. 82(3). 357–367. 5 indexed citations

16.

Patterson, S. J.. (1977). A cubic analogue of the theta series.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1977(296). 125–161. 19 indexed citations

17.

Patterson, S. J.. (1976). Diophantine approximation in Fuchsian groups. Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences. 282(1309). 527–563. 35 indexed citations

18.

Patterson, S. J.. (1976). The laplacian operator on a Riemann surface, III. Compositio Mathematica. 33(1). 227–259. 29 indexed citations

19.

Patterson, S. J.. (1976). The exponent of convergence of poincar� series. Monatshefte für Mathematik. 82(4). 297–315. 29 indexed citations

20.

Patterson, S. J.. (1975). On the cohomology of Fuchsian groups. Glasgow Mathematical Journal. 16(2). 123–140. 8 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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