Michel Brion

4.8k total citations
84 papers, 1.9k citations indexed

About

Michel Brion is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Michel Brion has authored 84 papers receiving a total of 1.9k indexed citations (citations by other indexed papers that have themselves been cited), including 70 papers in Geometry and Topology, 54 papers in Mathematical Physics and 19 papers in Algebra and Number Theory. Recurrent topics in Michel Brion's work include Algebraic Geometry and Number Theory (61 papers), Advanced Algebra and Geometry (49 papers) and Algebraic structures and combinatorial models (15 papers). Michel Brion is often cited by papers focused on Algebraic Geometry and Number Theory (61 papers), Advanced Algebra and Geometry (49 papers) and Algebraic structures and combinatorial models (15 papers). Michel Brion collaborates with scholars based in France, United States and Switzerland. Michel Brion's co-authors include Michèle Vergne, Shrawan Kumar, Valery Alexeev, Patrick Polo, V. Lakshmibai, James B. Carrell, Aloysius G. Helminck, D. Luna, Emmanuel Peyre and V. A. Alexeev and has published in prestigious journals such as Inventiones mathematicae, Advances in Mathematics and Bulletin of the London Mathematical Society.

In The Last Decade

Michel Brion

81 papers receiving 1.6k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Michel Brion France 27 1.5k 1.2k 696 528 216 84 1.9k
Alexandru Dimca France 16 1.1k 0.7× 598 0.5× 342 0.5× 397 0.8× 301 1.4× 118 1.3k
Walter D. Neumann United States 23 1.6k 1.0× 1.1k 0.9× 414 0.6× 169 0.3× 354 1.6× 83 1.8k
Igor Dolgachev United States 21 1.4k 0.9× 859 0.7× 280 0.4× 325 0.6× 256 1.2× 58 1.6k
Benson Farb United States 21 1.6k 1.1× 1.3k 1.1× 305 0.4× 225 0.4× 291 1.3× 65 1.8k
M. S. Raghunathan India 19 1.2k 0.8× 1.3k 1.1× 344 0.5× 334 0.6× 121 0.6× 43 1.7k
Alain Lascoux France 21 1.2k 0.8× 598 0.5× 1.1k 1.6× 814 1.5× 178 0.8× 75 1.7k
Egbert Brieskorn Germany 13 1.3k 0.8× 684 0.6× 251 0.4× 271 0.5× 291 1.3× 25 1.5k
Corrado De Concini Italy 21 1.2k 0.8× 840 0.7× 538 0.8× 656 1.2× 183 0.8× 60 1.5k
Hiroaki Terao Japan 17 975 0.6× 537 0.5× 1.2k 1.7× 598 1.1× 318 1.5× 59 1.6k
Eduard Looijenga Netherlands 21 1.4k 0.9× 955 0.8× 175 0.3× 323 0.6× 217 1.0× 57 1.7k

Countries citing papers authored by Michel Brion

Since Specialization
Citations

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

Fields of papers citing papers by Michel Brion

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Michel Brion

This figure shows the co-authorship network connecting the top 25 collaborators of Michel Brion. A scholar is included among the top collaborators of Michel Brion 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 Brion. Michel Brion 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.
Brion, Michel. (2018). Homogeneous vector bundles over abelian varieties via representation\n theory. arXiv (Cornell University).
2.
Brion, Michel. (2017). Commutative Algebraic Groups up to Isogeny. Documenta Mathematica. 22. 679–725. 3 indexed citations
3.
Brion, Michel & Bojie Fu. (2014). Symplectic Resolutions for Conical Symplectic Varieties. International Mathematics Research Notices. 1 indexed citations
4.
Brion, Michel. (2010). Introduction to actions of algebraic groups. 1(1). 1–22. 20 indexed citations
5.
Brion, Michel. (2008). Anti-affine algebraic groups. Journal of Algebra. 321(3). 934–952. 17 indexed citations
6.
Alexeev, Valery & Michel Brion. (2003). Stable reductive varieties II: projective case. Advances in Mathematics. 184(2). 380–408. 21 indexed citations
7.
Brion, Michel, et al.. (2002). Geometry of toric varieties. 33 indexed citations
8.
Brion, Michel & Emmanuel Peyre. (2002). The Virtual Poincaré Polynomials of Homogeneous Spaces. Compositio Mathematica. 134(3). 319–335. 7 indexed citations
9.
Brion, Michel. (2002). Positivity in the Grothendieck group of complex flag varieties. Journal of Algebra. 258(1). 137–159. 42 indexed citations
10.
Brion, Michel. (2001). On orbit closures of spherical subgroups in flag varieties. Commentarii Mathematici Helvetici. 76(2). 263–299. 40 indexed citations
11.
Schwarz, Gerald W. & Michel Brion. (2000). Théorie des invariants et géométrie des variétés quotients : École d'été sur la théorie des invariants qui s'est tenue à la Faculté des sciences de Monastir, du 15 juillet au 2 août 1996. 2 indexed citations
12.
Brion, Michel. (2000). Poincaré duality and equivariant (co)homology.. The Michigan Mathematical Journal. 48(1). 21 indexed citations
13.
Brion, Michel. (1998). The behaviour at infinity of the Bruhat decomposition. Commentarii Mathematici Helvetici. 73(1). 137–174. 44 indexed citations
14.
Brion, Michel, et al.. (1996). Automorphisms and local rigidity of regular varieties. Compositio Mathematica. 104(1). 1–26. 26 indexed citations
15.
Brion, Michel. (1994). Points entiers dans les polytopes convexes. French digital mathematics library (Numdam). 36. 145–169. 14 indexed citations
16.
Brion, Michel & Friedrich Knop. (1994). Contractions and flips for varieties with group action of small complexity. Journal of mathematical sciences. 1(3). 641–655. 5 indexed citations
17.
Brion, Michel. (1994). Factorisation de certains morphismes birationnels. Compositio Mathematica. 91(1). 57–66. 2 indexed citations
18.
Brion, Michel. (1990). Vers une généralisation des espaces symétriques. Journal of Algebra. 134(1). 115–143. 39 indexed citations
19.
Brion, Michel. (1987). Classification des espaces homogènes sphériques. Compositio Mathematica. 63(2). 189–208. 56 indexed citations
20.
Brion, Michel. (1985). Représentations exceptionnelles des groupes semi-simples. Annales Scientifiques de l École Normale Supérieure. 18(2). 345–387. 26 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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