Vincent Cossart

724 total citations
18 papers, 216 citations indexed

About

Vincent Cossart is a scholar working on Geometry and Topology, Algebra and Number Theory and Computational Theory and Mathematics. According to data from OpenAlex, Vincent Cossart has authored 18 papers receiving a total of 216 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Geometry and Topology, 8 papers in Algebra and Number Theory and 6 papers in Computational Theory and Mathematics. Recurrent topics in Vincent Cossart's work include Algebraic Geometry and Number Theory (12 papers), Polynomial and algebraic computation (6 papers) and Commutative Algebra and Its Applications (6 papers). Vincent Cossart is often cited by papers focused on Algebraic Geometry and Number Theory (12 papers), Polynomial and algebraic computation (6 papers) and Commutative Algebra and Its Applications (6 papers). Vincent Cossart collaborates with scholars based in France, Germany and Spain. Vincent Cossart's co-authors include Olivier Piltant, Jean Giraud, Carlos Galindo, Ana J. Reguera, Uwe Jannsen and Shuji Saito and has published in prestigious journals such as Lecture notes in mathematics, Duke Mathematical Journal and Mathematische Annalen.

In The Last Decade

Vincent Cossart

17 papers receiving 186 citations

Peers

Vincent Cossart
Olivier Piltant France
Masayuki Kawakita Japan
Hans Schoutens United States
Jennifer S. Balakrishnan United States
S. Encinas Spain
Franz‐Viktor Kuhlmann Canada
A. P. Rao United States
Sinnou David France
R. Raphael Canada
Deirdre Haskell Canada
Olivier Piltant France
Vincent Cossart
Citations per year, relative to Vincent Cossart Vincent Cossart (= 1×) peers Olivier Piltant

Countries citing papers authored by Vincent Cossart

Since Specialization
Citations

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

Fields of papers citing papers by Vincent Cossart

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Vincent Cossart

This figure shows the co-authorship network connecting the top 25 collaborators of Vincent Cossart. A scholar is included among the top collaborators of Vincent Cossart 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 Vincent Cossart. Vincent Cossart is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

18 of 18 papers shown
1.
Cossart, Vincent, Uwe Jannsen, & Shuji Saito. (2020). Desingularization: Invariants and Strategy. Lecture notes in mathematics. 7 indexed citations
2.
Cossart, Vincent & Olivier Piltant. (2019). Resolution of singularities of arithmetical threefolds. Journal of Algebra. 529. 268–535. 17 indexed citations
3.
Cossart, Vincent, et al.. (2017). Faîte du cône tangent à une singularité : un théorème oublié. Comptes Rendus Mathématique. 355(4). 455–459.
4.
Cossart, Vincent, et al.. (2014). A strictly decreasing invariant for resolution of singularities in\n dimension two. arXiv (Cornell University). 2 indexed citations
5.
Cossart, Vincent & Olivier Piltant. (2014). Characteristic polyhedra of singularities without completion. Mathematische Annalen. 361(1-2). 157–167. 2 indexed citations
6.
Cossart, Vincent & Olivier Piltant. (2012). Resolution of singularities of threefolds in mixed characteristic: case of small multiplicity. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 108(1). 113–151. 2 indexed citations
7.
Cossart, Vincent. (2011). Is there a notion of weak maximal contact in characteristic $p>0$?. Asian Journal of Mathematics. 15(3). 357–368. 1 indexed citations
8.
Cossart, Vincent & Olivier Piltant. (2009). Resolution of singularities of threefolds in positive characteristic II. Journal of Algebra. 321(7). 1836–1976. 56 indexed citations
9.
Cossart, Vincent & Olivier Piltant. (2008). Resolution of singularities of threefolds in positive characteristic. I.. Journal of Algebra. 320(3). 1051–1082. 48 indexed citations
10.
Cossart, Vincent, et al.. (2005). Racines approchées, suites génératrices, suffisance des jets. Annales de la faculté des sciences de Toulouse Mathématiques. 14(3). 353–394. 7 indexed citations
11.
Cossart, Vincent, Carlos Galindo, & Olivier Piltant. (2000). Un exemple effectif de gradué non noethérien associé à une valuation divisorielle. Annales de l’institut Fourier. 50(1). 105–112. 9 indexed citations
12.
Cossart, Vincent, Olivier Piltant, & Ana J. Reguera. (1999). On isomorphisms of blowing-ups of complete ideals�of a rational surface singularity. manuscripta mathematica. 98(1). 65–73. 5 indexed citations
13.
Cossart, Vincent. (1992). Mod�le projectif r�gulier et d�singularisation. Mathematische Annalen. 293(1). 115–121. 6 indexed citations
14.
Cossart, Vincent. (1991). Contact maximal en caractéristique positive et petite multiplicite. Duke Mathematical Journal. 63(1). 5 indexed citations
15.
Cossart, Vincent. (1989). Polyèdre Caractéristique et Éclatements Combinatoires. Revista Matemática Iberoamericana. 5(2). 67–95. 4 indexed citations
16.
Cossart, Vincent, et al.. (1984). Resolution of Surface Singularities. Lecture notes in mathematics. 23 indexed citations
17.
Cossart, Vincent. (1981). Desingularization of embedded excellent surfaces. Tohoku Mathematical Journal. 33(1). 15 indexed citations
18.
Cossart, Vincent. (1975). Sur le polyèdre caractéristique d'une singularité. Bulletin de la Société mathématique de France. 79. 13–19. 7 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 Olivier Piltant Breakdown of academic impact, for papers by Masayuki Kawakita Breakdown of academic impact, for papers by Hans Schoutens Breakdown of academic impact, for papers by Jennifer S. Balakrishnan Breakdown of academic impact, for papers by S. Encinas Breakdown of academic impact, for papers by Franz‐Viktor Kuhlmann Breakdown of academic impact, for papers by A. P. Rao Breakdown of academic impact, for papers by Sinnou David Breakdown of academic impact, for papers by R. Raphael Breakdown of academic impact, for papers by Deirdre Haskell
Rankless by CCL
2026