Peter Swinnerton‐Dyer

1.2k total citations
27 papers, 602 citations indexed

About

Peter Swinnerton‐Dyer is a scholar working on Geometry and Topology, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Peter Swinnerton‐Dyer has authored 27 papers receiving a total of 602 indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Geometry and Topology, 7 papers in Mathematical Physics and 5 papers in Computational Theory and Mathematics. Recurrent topics in Peter Swinnerton‐Dyer's work include Algebraic Geometry and Number Theory (10 papers), Advanced Differential Equations and Dynamical Systems (4 papers) and Quantum chaos and dynamical systems (3 papers). Peter Swinnerton‐Dyer is often cited by papers focused on Algebraic Geometry and Number Theory (10 papers), Advanced Differential Equations and Dynamical Systems (4 papers) and Quantum chaos and dynamical systems (3 papers). Peter Swinnerton‐Dyer collaborates with scholars based in United Kingdom, United States and Canada. Peter Swinnerton‐Dyer's co-authors include A. O. L. Atkin, Barry Mazur, Alexei N. Skorobogatov, Jean-Louis Colliot-Thélène, Thomas Wagenknecht, Régis de la Bretèche and Paul Vojta and has published in prestigious journals such as Nature, Physics Letters A and Lecture notes in mathematics.

In The Last Decade

Peter Swinnerton‐Dyer

24 papers receiving 510 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Peter Swinnerton‐Dyer United Kingdom 9 366 303 229 207 50 27 602
Glyn Harman United Kingdom 13 508 1.4× 309 1.0× 237 1.0× 183 0.9× 21 0.4× 67 602
Pieter Moree Germany 11 362 1.0× 250 0.8× 108 0.5× 118 0.6× 41 0.8× 87 500
S. W. Graham United States 10 385 1.1× 161 0.5× 113 0.5× 154 0.7× 13 0.3× 23 501
Α. I. Kostrikin Russia 9 266 0.7× 285 0.9× 165 0.7× 157 0.8× 101 2.0× 24 488
M. Ram Murty Canada 12 292 0.8× 334 1.1× 131 0.6× 104 0.5× 16 0.3× 41 483
John Tyrrell United Kingdom 9 173 0.5× 284 0.9× 172 0.8× 75 0.4× 21 0.4× 40 470
Murray R. Bremner Canada 12 266 0.7× 254 0.8× 123 0.5× 36 0.2× 71 1.4× 53 370
Ferran Cedó Spain 12 388 1.1× 406 1.3× 120 0.5× 118 0.6× 46 0.9× 51 505
Carl Riehm Canada 11 245 0.7× 389 1.3× 283 1.2× 162 0.8× 14 0.3× 29 665
YoungJu Choie South Korea 10 182 0.5× 209 0.7× 304 1.3× 82 0.4× 28 0.6× 102 466

Countries citing papers authored by Peter Swinnerton‐Dyer

Since Specialization
Citations

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

Fields of papers citing papers by Peter Swinnerton‐Dyer

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Peter Swinnerton‐Dyer. 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 Peter Swinnerton‐Dyer. The network helps show where Peter Swinnerton‐Dyer may publish in the future.

Co-authorship network of co-authors of Peter Swinnerton‐Dyer

This figure shows the co-authorship network connecting the top 25 collaborators of Peter Swinnerton‐Dyer. A scholar is included among the top collaborators of Peter Swinnerton‐Dyer 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 Peter Swinnerton‐Dyer. Peter Swinnerton‐Dyer 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.
Swinnerton‐Dyer, Peter. (2012). 2 n -descent on elliptic curves for all n. Journal of the London Mathematical Society. 87(3). 707–723. 1 indexed citations
2.
Colliot-Thélène, Jean-Louis, Peter Swinnerton‐Dyer, & Paul Vojta. (2010). Arithmetic Geometry. Lecture notes in mathematics. 1 indexed citations
3.
Swinnerton‐Dyer, Peter. (2010). Cubic surfaces over finite fields. Mathematical Proceedings of the Cambridge Philosophical Society. 149(3). 385–388. 3 indexed citations
4.
Swinnerton‐Dyer, Peter. (2008). The effect of twisting on the 2-Selmer group. Mathematical Proceedings of the Cambridge Philosophical Society. 145(3). 513–526. 16 indexed citations
5.
Swinnerton‐Dyer, Peter & Thomas Wagenknecht. (2008). Some third-order ordinary differential equations. Bulletin of the London Mathematical Society. 40(5). 725–748. 12 indexed citations
6.
Bretèche, Régis de la & Peter Swinnerton‐Dyer. (2007). Fonction zêta des hauteurs associée à une certaine surface cubique. Bulletin de la Société mathématique de France. 135(1). 65–92. 3 indexed citations
7.
Skorobogatov, Alexei N. & Peter Swinnerton‐Dyer. (2005). 2-Descent on elliptic curves and rational points on certain Kummer surfaces. Advances in Mathematics. 198(2). 448–483. 17 indexed citations
8.
Swinnerton‐Dyer, Peter. (2005). The justification of mathematical statements. Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences. 363(1835). 2437–2447. 3 indexed citations
9.
Swinnerton‐Dyer, Peter. (2002). Corrigenda Arithmetic of Diagonal Quartic Surfaces, II. Proceedings of the London Mathematical Society. 85(3). 564–564.
10.
Swinnerton‐Dyer, Peter. (2001). Bounds for trajectories of the Lorenz equations: an illustration of how to choose Liapunov functions. Physics Letters A. 281(2-3). 161–167. 37 indexed citations
11.
Swinnerton‐Dyer, Peter. (2000). Arithmetic of diagonal quartic surfaces, II. Proceedings of the London Mathematical Society. 80(3). 513–544. 25 indexed citations
12.
Swinnerton‐Dyer, Peter. (1999). Brauer–Manin obstructions on some Del Pezzo surfaces. Mathematical Proceedings of the Cambridge Philosophical Society. 125(2). 193–198. 12 indexed citations
13.
Swinnerton‐Dyer, Peter. (1999). Rational points on some pencils of conics with 6 singular fibres. Annales de la faculté des sciences de Toulouse Mathématiques. 8(2). 331–341. 5 indexed citations
14.
Swinnerton‐Dyer, Peter. (1995). The importance of academic freedom. Nature. 373(6511). 186–188. 5 indexed citations
15.
Swinnerton‐Dyer, Peter. (1992). A System of Electronic Journals for the United Kingdom. Serials The Journal for the Serials Community. 5(3). 33–35. 8 indexed citations
16.
Swinnerton‐Dyer, Peter. (1991). The information needs of academics and researchers. Learned Publishing. 4(3). 149–151. 1 indexed citations
17.
Swinnerton‐Dyer, Peter. (1977). The Hopf bifurcation theorem in three dimensions. Mathematical Proceedings of the Cambridge Philosophical Society. 82(3). 469–483. 5 indexed citations
18.
Swinnerton‐Dyer, Peter. (1977). Small Parameter Theory: The Method of Averaging. Proceedings of the London Mathematical Society. s3-34(3). 385–420. 2 indexed citations
19.
Mazur, Barry & Peter Swinnerton‐Dyer. (1974). Arithmetic of Weil curves. Inventiones mathematicae. 25(1). 1–61. 184 indexed citations
20.
Atkin, A. O. L. & Peter Swinnerton‐Dyer. (1954). Some Properties of Partitions. Proceedings of the London Mathematical Society. s3-4(1). 84–106. 212 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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