Serge Cantat

1.1k total citations
39 papers, 419 citations indexed

About

Serge Cantat is a scholar working on Geometry and Topology, Mathematical Physics and Applied Mathematics. According to data from OpenAlex, Serge Cantat has authored 39 papers receiving a total of 419 indexed citations (citations by other indexed papers that have themselves been cited), including 35 papers in Geometry and Topology, 29 papers in Mathematical Physics and 7 papers in Applied Mathematics. Recurrent topics in Serge Cantat's work include Algebraic Geometry and Number Theory (20 papers), Mathematical Dynamics and Fractals (15 papers) and Advanced Algebra and Geometry (13 papers). Serge Cantat is often cited by papers focused on Algebraic Geometry and Number Theory (20 papers), Mathematical Dynamics and Fractals (15 papers) and Advanced Algebra and Geometry (13 papers). Serge Cantat collaborates with scholars based in France, Japan and China. Serge Cantat's co-authors include Frank Loray, C. Favre, Yves Cornulier, Keiji Oguiso, Abdelghani Zeghib, Dominique Cerveau, Mitsuhiro Shishikura, Stéphane Le Borgne, Tullio Ceccherini‐Silberstein and Romain Dujardin and has published in prestigious journals such as Annals of Mathematics, Acta Mathematica and American Journal of Mathematics.

In The Last Decade

Serge Cantat

35 papers receiving 366 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Serge Cantat France	11	371	318	56	51	39	39	419
Yves Cornulier France	11	319 0.9×	294 0.9×	14 0.3×	60 1.2×	56 1.4×	50	388
Gavril Farkas Germany	14	439 1.2×	311 1.0×	26 0.5×	33 0.6×	24 0.6×	50	462
Michael Entov Israel	7	269 0.7×	219 0.7×	28 0.5×	56 1.1×	26 0.7×	14	304
Alberto Candel United States	9	247 0.7×	219 0.7×	37 0.7×	154 3.0×	11 0.3×	20	319
John Cantwell United States	10	226 0.6×	204 0.6×	38 0.7×	108 2.1×	15 0.4×	42	308
Steven Hurder United States	12	349 0.9×	448 1.4×	107 1.9×	117 2.3×	11 0.3×	54	503
Andrzej Szczepański Poland	9	202 0.5×	149 0.5×	9 0.2×	44 0.9×	56 1.4×	37	242
Ralph M. Kaufmann United States	11	250 0.7×	227 0.7×	37 0.7×	8 0.2×	34 0.9×	40	299
Dimitri Zvonkine France	10	260 0.7×	172 0.5×	83 1.5×	23 0.5×	41 1.1×	21	283
Volodymyr Nekrashevych United States	10	263 0.7×	248 0.8×	23 0.4×	11 0.2×	70 1.8×	29	353

Countries citing papers authored by Serge Cantat

Since Specialization

Citations

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

Fields of papers citing papers by Serge Cantat

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Serge Cantat

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

Cantat, Serge & Romain Dujardin. (2023). Finite orbits for large groups of automorphisms of projective surfaces. Compositio Mathematica. 160(1). 120–175. 2 indexed citations

Cantat, Serge & Romain Dujardin. (2023). Invariant Measures for Large Automorphism Groups of Projective Surfaces. Transformation Groups. 30(1). 75–145.

Cantat, Serge, et al.. (2023). Families of commuting automorphisms, and a characterization of the affine space. American Journal of Mathematics. 145(2). 413–434. 2 indexed citations

Cantat, Serge, et al.. (2021). Three chapters on Cremona groups. Indiana University Mathematics Journal. 70(5). 2011–2064. 1 indexed citations

Cantat, Serge, et al.. (2020). On degrees of birational mappings. Mathematical Research Letters. 27(2). 319–337. 3 indexed citations

Cantat, Serge, et al.. (2014). Automorphisms of surfaces: Kummer rigidity and measure of maximal\n entropy. arXiv (Cornell University). 5 indexed citations

Bedford, Eric, et al.. (2014). Pseudo-automorphisms with no invariant foliation. Journal of Modern Dynamics. 8(2). 221–250. 4 indexed citations

Cantat, Serge. (2014). Morphisms between Cremona groups, and characterization of rational varieties. Compositio Mathematica. 150(7). 1107–1124. 8 indexed citations

Cantat, Serge, et al.. (2013). Normal subgroups in the Cremona group. Acta Mathematica. 210(1). 31–94. 28 indexed citations

10.

Cantat, Serge, et al.. (2010). Normal subgroups in the Cremona group. arXiv (Cornell University).

11.

Cantat, Serge. (2009). Birational permutations. Comptes Rendus Mathématique. 347(21-22). 1289–1294. 3 indexed citations

12.

Cantat, Serge & Frank Loray. (2009). Dynamics on Character Varieties and Malgrange irreducibility of Painlevé VI equation. Annales de l’institut Fourier. 59(7). 2927–2978. 27 indexed citations

13.

Cantat, Serge. (2008). Caractérisation des exemples de Lattès et de Kummer. Compositio Mathematica. 144(5). 1235–1270. 6 indexed citations

14.

Cantat, Serge & Dominique Cerveau. (2008). Analytic actions of mapping class groups on surfaces. Journal of Topology. 1(4). 910–922. 6 indexed citations

15.

Cantat, Serge, et al.. (2004). Linearity of the exceptional set for maps of P k (C). Mathematische Annalen. 330(1). 39–43. 9 indexed citations

16.

Cantat, Serge. (2003). Croissance des variétés instables. Ergodic Theory and Dynamical Systems. 23(4). 1025–1042. 3 indexed citations

17.

Cantat, Serge & C. Favre. (2003). Symétries birationnelles des surfaces feuilletÉes. Journal für die reine und angewandte Mathematik (Crelles Journal). 2003(561). 20 indexed citations

18.

Cantat, Serge. (2001). Dynamique des automorphismes des surfaces K3. Acta Mathematica. 187(1). 1–57. 65 indexed citations

19.

Cantat, Serge. (2000). Deux exemples concernant une conjecture de Serge Lang. Comptes Rendus de l Académie des Sciences - Series I - Mathematics. 330(7). 581–586. 3 indexed citations

20.

Cantat, Serge. (1999). Dynamique des automorphismes des surfaces projectives complexes. Comptes Rendus de l Académie des Sciences - Series I - Mathematics. 328(10). 901–906. 47 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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