Claude Viterbo

2.3k total citations
29 papers, 894 citations indexed

About

Claude Viterbo is a scholar working on Geometry and Topology, Mathematical Physics and Applied Mathematics. According to data from OpenAlex, Claude Viterbo has authored 29 papers receiving a total of 894 indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Geometry and Topology, 17 papers in Mathematical Physics and 12 papers in Applied Mathematics. Recurrent topics in Claude Viterbo's work include Geometric and Algebraic Topology (17 papers), Homotopy and Cohomology in Algebraic Topology (14 papers) and Geometric Analysis and Curvature Flows (11 papers). Claude Viterbo is often cited by papers focused on Geometric and Algebraic Topology (17 papers), Homotopy and Cohomology in Algebraic Topology (14 papers) and Geometric Analysis and Curvature Flows (11 papers). Claude Viterbo collaborates with scholars based in France, United States and Italy. Claude Viterbo's co-authors include Helmut Hofer, Franco Cardin, Andreas Floer, Alexandru Oancea, Francis Nier, Frédéric Le Roux and Yves Laszlo and has published in prestigious journals such as Communications on Pure and Applied Mathematics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Claude Viterbo

25 papers receiving 764 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Claude Viterbo France	15	762	562	337	124	110	29	894
Michèle Audin France	11	516 0.7×	320 0.6×	160 0.5×	111 0.9×	43 0.4×	36	635
Kai Cieliebak Germany	17	752 1.0×	589 1.0×	205 0.6×	71 0.6×	75 0.7×	44	823
Augustin Banyaga United States	11	434 0.6×	390 0.7×	137 0.4×	128 1.0×	56 0.5×	45	584
Carlo Petronio Italy	14	709 0.9×	525 0.9×	205 0.6×	75 0.6×	139 1.3×	50	868
Viktor L. Ginzburg United States	18	623 0.8×	617 1.1×	173 0.5×	158 1.3×	86 0.8×	54	834
Thomas Delzant France	11	598 0.8×	438 0.8×	144 0.4×	90 0.7×	93 0.8×	19	675
François Labourie France	15	531 0.7×	450 0.8×	222 0.7×	41 0.3×	39 0.4×	36	655
Ronnie Lee United States	14	564 0.7×	587 1.0×	129 0.4×	62 0.5×	73 0.7×	56	730
David Fried United States	14	653 0.9×	728 1.3×	220 0.7×	177 1.4×	118 1.1×	37	907
Lawrence Conlon United States	14	443 0.6×	375 0.7×	249 0.7×	69 0.6×	60 0.5×	60	610

Countries citing papers authored by Claude Viterbo

Since Specialization

Citations

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

Fields of papers citing papers by Claude Viterbo

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Claude Viterbo

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

Nier, Francis, et al.. (2024). Bar codes of persistent cohomology and Arrhenius law for $p$-forms Bar codes of persistent cohomology and Arrhenius law for $p$-forms. Astérisque.

Viterbo, Claude, et al.. (2024). The Singular Support of Sheaves Is γ-Coisotropic. Geometric and Functional Analysis. 34(4). 1052–1113.

Viterbo, Claude. (2022). Symplectic Homogenization. arXiv (Cornell University). 10. 67–140. 5 indexed citations

Roux, Frédéric Le, et al.. (2018). Barcodes and area-preserving homeomorphisms. arXiv (Cornell University). 7 indexed citations

Oancea, Alexandru & Claude Viterbo. (2012). On the topology of fillings of contact manifolds and applications. Commentarii Mathematici Helvetici. 87(1). 41–69. 12 indexed citations

Cardin, Franco & Claude Viterbo. (2008). Commuting Hamiltonians and Hamilton-Jacobi multi-time equations. Duke Mathematical Journal. 144(2). 31 indexed citations

Viterbo, Claude. (2006). On the uniqueness of generating Hamiltonian for continuous limits of Hamiltonians flows. International Mathematics Research Notices. 15 indexed citations

Laszlo, Yves & Claude Viterbo. (2005). Estimates of characteristic numbers of real algebraic varieties. Topology. 45(2). 261–280. 1 indexed citations

Viterbo, Claude. (1999). Functors and Computations in Floer Homology with Applications, I. Geometric and Functional Analysis. 9(5). 985–1033. 120 indexed citations

10.

Viterbo, Claude. (1997). Exact Lagrange submanifolds, periodic orbits and the cohomology of free loop spaces. Journal of Differential Geometry. 47(3). 22 indexed citations

11.

Viterbo, Claude. (1996). Solutions d'équations d'Hamilton-Jacobi et géométrie symplectique. French digital mathematics library (Numdam). 1–6. 4 indexed citations

12.

Viterbo, Claude. (1993). Orbites périodiques dans le problème des trois corps. French digital mathematics library (Numdam). 35. 377–393. 1 indexed citations

13.

Hofer, Helmut & Claude Viterbo. (1992). The weinstein conjecture in the presence of holomorphic spheres. Communications on Pure and Applied Mathematics. 45(5). 583–622. 47 indexed citations

14.

Viterbo, Claude. (1991). An introduction to symplectic topology. Journées Équations aux dérivées partielles. 1–9. 14 indexed citations

15.

Viterbo, Claude. (1989). Equivariant Morse Theory for Starshaped Hamiltonian Systems. Transactions of the American Mathematical Society. 311(2). 621–621. 8 indexed citations

16.

Viterbo, Claude. (1989). Equivariant Morse theory for starshaped Hamiltonian systems. Transactions of the American Mathematical Society. 311(2). 621–621. 42 indexed citations

17.

Viterbo, Claude. (1989). Capacités symplectiques et applications. French digital mathematics library (Numdam). 31. 345–362. 6 indexed citations

18.

Hofer, Helmut & Claude Viterbo. (1988). The Weinstein conjecture in cotangent bundles and related results. French digital mathematics library (Numdam). 15(3). 411–445. 32 indexed citations

19.

Viterbo, Claude. (1987). A proof of Weinstein’s conjecture in ℝ2n. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 4(4). 337–356. 76 indexed citations

20.

Viterbo, Claude. (1987). Intersection de sous-variétés lagrangiennes, fonctionnelles d'action et indice des systèmes hamiltoniens. Bulletin de la Société mathématique de France. 79. 361–390. 40 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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