Serge Cantat
- Geometry and Topology top 2%
- Mathematical Physics top 2%
- Statistical and Nonlinear Physics top 10%
- Applied Mathematics top 10%
- Discrete Mathematics and Combinatorics top 10%
- Co-authors
- Frank LorayC. FavreYves CornulierKeiji OguisoAbdelghani ZeghibDominique CerveauMitsuhiro ShishikuraStéphane Le Borgne
- Topics
- Algebraic Geometry and Number Theory (20 papers)Mathematical Dynamics and Fractals (15 papers)Advanced Algebra and Geometry (13 papers)
In The Last Decade
Serge Cantat
35 papers receiving 366 citations
Peers
Comparison fields: 5 of 26
- Geometry and Topology 371
- Mathematical Physics 318
- Statistical and Nonlinear Physics 56
- Applied Mathematics 51
- Discrete Mathematics and Combinatorics 39
Countries citing papers authored by Serge Cantat
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
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
| # | Work | Indexed citations |
|---|---|---|
| 1 | 2 | |
| 2 | 0 | |
| 3 | 2 | |
| 4 | 1 | |
| 5 | 3 | |
| 6 | 5 | |
| 7 | 4 | |
| 8 | 8 | |
| 9 | 28 | |
| 10 | Normal subgroups in the Cremona group | 0 |
| 11 | 3 | |
| 12 | 27 | |
| 13 | 6 | |
| 14 | 6 | |
| 15 | 9 | |
| 16 | 3 | |
| 17 | 20 | |
| 18 | 65 | |
| 19 | 3 | |
| 20 | 47 |
About Serge Cantat
Serge Cantat is a scholar working on Geometry and Topology, Mathematical Physics and Discrete Mathematics and Combinatorics, having authored 39 papers that have together received 419 indexed citations. Recurring topics across this work include Algebraic Geometry and Number Theory (20 papers), Mathematical Dynamics and Fractals (15 papers) and Advanced Algebra and Geometry (13 papers). The work is most often cited by research in Geometry and Topology (371 citations), Mathematical Physics (318 citations) and Discrete Mathematics and Combinatorics (39 citations). Serge Cantat has collaborated with scholars based in France, Japan and China. Frequent 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. Their work appears in journals such as Annals of Mathematics, Acta Mathematica and American Journal of Mathematics.
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.