Michel Coste

1.8k total citations
31 papers, 904 citations indexed

About

Michel Coste is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Michel Coste has authored 31 papers receiving a total of 904 indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Geometry and Topology, 8 papers in Algebra and Number Theory and 7 papers in Mathematical Physics. Recurrent topics in Michel Coste's work include Advanced Topology and Set Theory (6 papers), Robotic Mechanisms and Dynamics (5 papers) and Advanced Differential Equations and Dynamical Systems (5 papers). Michel Coste is often cited by papers focused on Advanced Topology and Set Theory (6 papers), Robotic Mechanisms and Dynamics (5 papers) and Advanced Differential Equations and Dynamical Systems (5 papers). Michel Coste collaborates with scholars based in France, Japan and Poland. Michel Coste's co-authors include M-F Roy, Jacek Bochnak, Marie-Françoise Roy, Masahiro Shiota, Henri Lombardi, Krzysztof Kurdyka, Jesús M. Ruíz, Niels Schwartz, Claus Scheiderer and François Straub and has published in prestigious journals such as Inventiones mathematicae, American Journal of Mathematics and Mechanism and Machine Theory.

In The Last Decade

Michel Coste

30 papers receiving 802 citations

Peers

Michel Coste
Frank Sottile United States
Giorgio Ottaviani Italy
Masahiro Shiota Japan
Ulrich Oberst Austria
Eugeniĭ Shustin Israel
Jacek Bochnak Netherlands
Bruce Reznick United States
Angus Macintyre United Kingdom
Yosef Yomdin Israel
Krzysztof Kurdyka France
Frank Sottile United States
Michel Coste
Citations per year, relative to Michel Coste Michel Coste (= 1×) peers Frank Sottile

Countries citing papers authored by Michel Coste

Since Specialization
Citations

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

Fields of papers citing papers by Michel Coste

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Michel Coste

This figure shows the co-authorship network connecting the top 25 collaborators of Michel Coste. A scholar is included among the top collaborators of Michel Coste 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 Michel Coste. Michel Coste 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.
Coste, Michel, Philippe Wenger, & Damien Chablat. (2011). Singular surfaces and cusps in symmetric planar 3-RPR manipulators. 2011 IEEE/RSJ International Conference on Intelligent Robots and Systems. 45. 1453–1458. 1 indexed citations
2.
Coste, Michel, Claus Scheiderer, & Niels Schwartz. (2007). Reelle Algebraische Geometrie. Oberwolfach Reports. 4(1). 753–820. 8 indexed citations
3.
Coste, Michel. (2007). Arc Spaces and Additive Invariants in Real Algebraic and Analytic Geometry. Medical Entomology and Zoology. 7 indexed citations
4.
Coste, Michel, et al.. (2005). Generalized Budan–Fourier theorem and virtual roots. Journal of Complexity. 21(4). 479–486. 10 indexed citations
5.
Coste, Michel. (2002). AN INTRODUCTION TO SEMIALGEBRAIC GEOMETRY. The Korean Journal of Internal Medicine. 27(1). 13–9. 69 indexed citations
6.
Coste, Michel. (2002). AN INTRODUCTION TO O-MINIMAL GEOMETRY. Journal of Neonatal Surgery. 2(1). 7–7. 146 indexed citations
7.
Coste, Michel, Henri Lombardi, & Marie-Françoise Roy. (2001). Dynamical method in algebra: effective Nullstellensätze. Annals of Pure and Applied Logic. 111(3). 203–256. 47 indexed citations
8.
Coste, Michel, et al.. (2001). Diatoms and databases: a short review. HAL (Le Centre pour la Communication Scientifique Directe). 2 indexed citations
9.
Coste, Michel, et al.. (2001). Atypical values at infinity of a polynomial function on the real plane: an erratum, and an algorithmic criterion. Journal of Pure and Applied Algebra. 162(1). 23–35. 14 indexed citations
10.
Coste, Michel, Jesús M. Ruíz, & Masahiro Shiota. (2001). Uniform bounds on complexity and transfer of global properties of Nash functions. Journal für die reine und angewandte Mathematik (Crelles Journal). 2001(536). 2 indexed citations
11.
Coste, Michel, et al.. (1996). Separation, factorization and finite sheaves on Nash manifolds. Compositio Mathematica. 103(1). 31–62. 8 indexed citations
12.
Coste, Michel & Masahiro Shiota. (1992). Thom's first isotopy lemma: a semialgebraic version, with uniform bounds(Real Singularities and Real Algebraic Geometry). Kyoto University Research Information Repository (Kyoto University). 815. 176–189. 3 indexed citations
13.
Coste, Michel & Krzysztof Kurdyka. (1992). On the link of a stratum in a real algebraic set. Topology. 31(2). 323–336. 15 indexed citations
14.
Coste, Michel. (1992). Épaississement d'une hypersurface algébrique réelle. Proceedings of the Japan Academy Series A Mathematical Sciences. 68(7). 1 indexed citations
15.
Coste, Michel & Marie-Françoise Roy. (1988). Thom's lemma, the coding of real algebraic numbers and the computation of the topology of semi-algebraic sets. Journal of Symbolic Computation. 5(1-2). 121–129. 74 indexed citations
16.
Bochnak, Jacek, Michel Coste, & M-F Roy. (1987). Géométrie algébrique réelle. Springer eBooks. 348 indexed citations
17.
Coste, Michel, et al.. (1983). Normal spectral spaces and their dimensions. Journal of Pure and Applied Algebra. 30(3). 227–235. 33 indexed citations
18.
Coste, Michel, et al.. (1980). Le spectre réel et la topologie des variétés algébriques sur un corps réel clos. French digital mathematics library (Numdam). 151–168.
19.
Coste, Michel, et al.. (1980). Contribution to the study of the natural number object in elementary Topoi. Journal of Pure and Applied Algebra. 17(1). 35–68. 2 indexed citations
20.
Coste, Michel, et al.. (1980). La photo-interprétation des formes urbaines. L’Espace géographique. 9(1). 57–69. 1 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Frank Sottile Breakdown of academic impact, for papers by Giorgio Ottaviani Breakdown of academic impact, for papers by Masahiro Shiota Breakdown of academic impact, for papers by Ulrich Oberst Breakdown of academic impact, for papers by Eugeniĭ Shustin Breakdown of academic impact, for papers by Jacek Bochnak Breakdown of academic impact, for papers by Bruce Reznick Breakdown of academic impact, for papers by Angus Macintyre Breakdown of academic impact, for papers by Yosef Yomdin Breakdown of academic impact, for papers by Krzysztof Kurdyka
Rankless by CCL
2026