Christopher J. Bishop

1.7k total citations
76 papers, 893 citations indexed

About

Christopher J. Bishop is a scholar working on Geometry and Topology, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, Christopher J. Bishop has authored 76 papers receiving a total of 893 indexed citations (citations by other indexed papers that have themselves been cited), including 50 papers in Geometry and Topology, 46 papers in Applied Mathematics and 32 papers in Mathematical Physics. Recurrent topics in Christopher J. Bishop's work include Analytic and geometric function theory (29 papers), Mathematical Dynamics and Fractals (23 papers) and Geometric Analysis and Curvature Flows (18 papers). Christopher J. Bishop is often cited by papers focused on Analytic and geometric function theory (29 papers), Mathematical Dynamics and Fractals (23 papers) and Geometric Analysis and Curvature Flows (18 papers). Christopher J. Bishop collaborates with scholars based in United States, Israel and United Kingdom. Christopher J. Bishop's co-authors include Peter W. Jones, Yuval Peres, James K. Wetterer, Матти Вуоринен, Vladimir Gutlyanskiî, Олли Мартио, Jeremy T. Tyson, Tim Steger, Lennart Carleson and John B. Garnett and has published in prestigious journals such as Ecology, Annals of Mathematics and Journal of Mathematical Analysis and Applications.

In The Last Decade

Christopher J. Bishop

71 papers receiving 786 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Christopher J. Bishop United States 16 548 546 436 126 55 76 893
Rémi Langevin France 13 253 0.5× 199 0.4× 195 0.4× 51 0.4× 55 1.0× 51 494
Frederick P. Gardiner United States 11 620 1.1× 397 0.7× 215 0.5× 40 0.3× 31 0.6× 30 739
K. Kodaira United States 17 1.4k 2.6× 627 1.1× 695 1.6× 149 1.2× 117 2.1× 25 1.7k
Steven P. Kerckhoff United States 12 794 1.4× 301 0.6× 667 1.5× 90 0.7× 122 2.2× 18 969
Pierre Pansu France 10 569 1.0× 613 1.1× 303 0.7× 121 1.0× 13 0.2× 38 821
Yakov Eliashberg United States 20 1.6k 2.8× 552 1.0× 1.1k 2.5× 198 1.6× 60 1.1× 51 1.7k
G. R. Burton United Kingdom 13 79 0.1× 514 0.9× 158 0.4× 228 1.8× 52 0.9× 35 663
Francis Bonahon United States 17 904 1.6× 347 0.6× 710 1.6× 122 1.0× 76 1.4× 34 1.0k
Carlo Petronio Italy 14 709 1.3× 205 0.4× 525 1.2× 139 1.1× 75 1.4× 50 868
Farid Tari United Kingdom 14 283 0.5× 312 0.6× 73 0.2× 71 0.6× 51 0.9× 60 521

Countries citing papers authored by Christopher J. Bishop

Since Specialization
Citations

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

Fields of papers citing papers by Christopher J. Bishop

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Christopher J. Bishop

This figure shows the co-authorship network connecting the top 25 collaborators of Christopher J. Bishop. A scholar is included among the top collaborators of Christopher J. Bishop 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 Christopher J. Bishop. Christopher J. Bishop 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.
Bishop, Christopher J.. (2025). Weil-Petersson curves, $\beta$-numbers, and minimal surfaces. Annals of Mathematics. 202(1).
2.
Bishop, Christopher J., et al.. (2024). A Geometric Approach to Polynomial and Rational Approximation. International Mathematics Research Notices. 2024(12). 9936–9961. 1 indexed citations
3.
Bishop, Christopher J.. (2023). Uniformly Acute Triangulations of Polygons. Discrete & Computational Geometry. 70(4). 1571–1592. 2 indexed citations
4.
Bishop, Christopher J.. (2015). Constructing entire functions by quasiconformal folding. Acta Mathematica. 214(1). 1–60. 32 indexed citations
5.
Bishop, Christopher J.. (2010). Optimal Angle Bounds for Quadrilateral Meshes. Discrete & Computational Geometry. 44(2). 308–329. 3 indexed citations
6.
Bishop, Christopher J.. (2010). Bounds for the CRDT Conformal Mapping Algorithm. Computational Methods and Function Theory. 10(1). 325–366. 2 indexed citations
7.
Bishop, Christopher J.. (2010). Conformal Mapping in Linear Time. Discrete & Computational Geometry. 44(2). 330–428. 12 indexed citations
8.
Bishop, Christopher J.. (2005). Orthogonal functions in H∞. Pacific Journal of Mathematics. 220(1). 1–31. 14 indexed citations
9.
Bishop, Christopher J.. (2003). The linear escape limit set. Proceedings of the American Mathematical Society. 132(5). 1385–1388. 3 indexed citations
10.
Bishop, Christopher J.. (2002). BILIPSCHITZ APPROXIMATIONS OF QUASICONFORMAL MAPS. 27(1). 97–108. 7 indexed citations
11.
Bishop, Christopher J. & Jeremy T. Tyson. (2001). Locally minimal sets for conformal dimension. Annales Academiae Scientiarum Fennicae Mathematica. 26(2). 361–373. 10 indexed citations
12.
Bishop, Christopher J. & Jeremy T. Tyson. (2001). Conformal dimension of the antenna set. Proceedings of the American Mathematical Society. 129(12). 3631–3636. 16 indexed citations
13.
Bishop, Christopher J.. (1999). QUASICONFORMAL MAPPINGS WHICH INCREASE DIMENSION. 24(2). 397–407. 23 indexed citations
14.
Bishop, Christopher J.. (1996). ON A THEOREM OF BEARDON AND MASKIT. Psychonomic Bulletin & Review. 23(2). 640–7. 3 indexed citations
15.
Bishop, Christopher J.. (1996). A counterexample concerning smooth approximation. Proceedings of the American Mathematical Society. 124(10). 3131–3134. 1 indexed citations
16.
Bishop, Christopher J.. (1994). How geodesics approach the boundary in a simply connected domain. Journal d Analyse Mathématique. 64(1). 291–325. 4 indexed citations
17.
Bishop, Christopher J.. (1992). Brownian Motion in Denjoy Domains. The Annals of Probability. 20(2). 1 indexed citations
18.
Bishop, Christopher J.. (1989). Approximating continuous functions by holomorphic and harmonic functions. Transactions of the American Mathematical Society. 311(2). 781–781. 16 indexed citations
19.
Bishop, Christopher J.. (1989). Constructing continuous functions holomorphic off a curve. Journal of Functional Analysis. 82(1). 113–137. 6 indexed citations
20.
Bishop, Christopher J.. (1988). A counterexample in conformal welding concerning Hausdorff dimension.. The Michigan Mathematical Journal. 35(1). 7 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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