Pierre Cartier

3.0k total citations
67 papers, 910 citations indexed

About

Pierre Cartier is a scholar working on Algebra and Number Theory, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Pierre Cartier has authored 67 papers receiving a total of 910 indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Algebra and Number Theory, 18 papers in Geometry and Topology and 14 papers in Mathematical Physics. Recurrent topics in Pierre Cartier's work include Advanced Topics in Algebra (15 papers), History and Theory of Mathematics (8 papers) and Homotopy and Cohomology in Algebraic Topology (7 papers). Pierre Cartier is often cited by papers focused on Advanced Topics in Algebra (15 papers), History and Theory of Mathematics (8 papers) and Homotopy and Cohomology in Algebraic Topology (7 papers). Pierre Cartier collaborates with scholars based in France, United States and Germany. Pierre Cartier's co-authors include Cécile DeWitt-Morette, Michel Waldschmidt, Antoine Folacci, Yuri I. Manin, Luc Illusie, Kenneth A. Ribet, Nicholas M. Katz, Gérard Laumon, J. M. G. Fell and P. A. Meyer and has published in prestigious journals such as Physics Letters A, Annals of Mathematics and Lecture notes in mathematics.

In The Last Decade

Pierre Cartier

58 papers receiving 786 citations

Peers

Pierre Cartier
Comparison fields: 5 of 85
  • Geometry and Topology 466
  • Mathematical Physics 373
  • Algebra and Number Theory 364
  • Statistical and Nonlinear Physics 163
  • Computational Theory and Mathematics 112
Replace Kazuhiko Aomoto with:
Kazuhiko Aomoto Japan
Michel Waldschmidt France
Theodor Bröcker Germany
Roe Goodman United States
Hershel M. Farkas Israel
Carl Ludwig Siegel Germany
G. V. Chudnovsky United States
М. И. Граев Russia
Mikio Sato Japan
Dennis A. Hejhal United States
Kazuhiko Aomoto Japan View profile →
Citations per field, relative to Pierre Cartier
Pierre Cartier · 1×
Citations per year, relative to Pierre Cartier
Pierre Cartier · 1×

Countries citing papers authored by Pierre Cartier

Since Specialization
Citations

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

Fields of papers citing papers by Pierre Cartier

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Pierre Cartier

This figure shows the co-authorship network connecting the top 25 collaborators of Pierre Cartier. A scholar is included among the top collaborators of Pierre Cartier 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 Pierre Cartier. Pierre Cartier 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
# Work Indexed citations
1 1
2 53
3
On random matrices, zeta functions, and dynamical systems
7
4
Fonctions polylogarithmes, nombres polyzêtas et groupes pro-unipotents
26
5
Mathemagics (a tribute to L. Euler and R. Feynman).
3
6 70
7
Lectures on integrable systems : in memory of Jean-Louis Verdier : proceedings of the CIMPA School, 10-28 June 1991, Nice, France
1
8 4
9
Integrable systems : the Verdier Memorial Conference : actes du colloque international de Luminy
3
10
Démonstration «automatique» d'identités et fonctions hypergéométriques
1
11
Jacobiennes généralisées, monodromie unipotente et intégrales itérées
6
12
Homologie cyclique : rapport sur des travaux récents de Connes, Karoubi, Loday, Quillen...
3
13
Perturbations singulières des équations différentielles ordinaires et analyse non-standard
8
14 111
15
Équivalence linéaire des idéaux de polynômes
1
16
Processus aléatoires généralisés
6
17
Remarques sur le théorème de Birkhoff-Witt
5
18
Dualité des variétés abéliennes
4
19
Effacement dans la cohomologie des algèbres de Lie
4
20
Représentations des groupes de Lie
1

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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