2026 Michel Dubois-Violette: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	31	3332	2973	204	192	130	4204

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

3332

2973

204

192

130

4204

Overview

Michel Dubois-Violette is affiliated with Université Paris Cité in France. Their research spans several interconnected fields, primarily focusing on Mathematics and Physics and Astronomy.

The major fields of study associated with their work include:

Mathematics
Physics and Astronomy

The subfields of study where they have contributed are:

Statistical and Nonlinear Physics
Applied Mathematics
Nuclear and High Energy Physics
Algebra and Number Theory
Geometry and Topology

The main research topics in their publications include:

Noncommutative and Quantum Gravity Theories
Algebraic and Geometric Analysis
Particle physics theoretical and experimental studies
Advanced Topics in Algebra
Algebraic structures and combinatorial models
Advanced Algebra and Geometry
Algebraic Geometry and Number Theory

Michel Dubois-Violette has published in several venues, with recurrent contributions in these journals and platforms:

arXiv (Cornell University)
Nuclear Physics B
Journal of Noncommutative Geometry

Their recent publications include the following papers:

Superconnection in the spin factor approach to particle physics, 2020, Nuclear Physics B
Quadratic algebras associated with exterior 3-forms, 2024, Journal of Noncommutative Geometry
Quadratic algebras associated with exterior 3-forms, 2020, arXiv (Cornell University)
Superconnection in the spin factor approach to particle physics, 2020, arXiv (Cornell University)

Frequent co-authorship appears with the following researchers:

B. Torrecillas
Иван Тодоров

Best Publications

Noncommutative differential geometry of matrix algebras

Michel Dubois‐Violette;Richard Kerner;John Madore

387
Citations
Noncommutative Finite-Dimensional Manifolds. I. Spherical Manifolds and Related Examples

Alain Connes;Michel Dubois-Violette

378
Citations
Noncommutative differential geometry and new models of gauge theory

Michel Dubois‐Violette;Richard Kerner;John Madore

254
Citations
Gauge bosons in a noncommutative geometry

M. Dubois-Violette;J. Madore;R. Kerner

196
Citations
Connections on central bimodules in noncommutative differential geometry

Michel Dubois-Violette;Peter W. Michor

187
Citations
The quantum group of a non-degenerate bilinear form

Michel Dubois-Violette;Guy Launer

185
Citations
CONNECTIONS ON CENTRAL BIMODULES

Michel Dubois-Violette;Peter W. Michor

157
Citations
DERIVATIONS ET CALCUL DIFFERENTIEL NON COMMUTATIF. II

Michel Dubois-Violette;Peter Michor

155
Citations
Lectures on graded differential algebras and noncommutative geometry

Michel Dubois-Violette

155
Citations
Tensor fields of mixed young symmetry type and N-complexes

Michel Dubois-Violette;Marc Henneaux

147
Citations
Generalized cohomology for irreducible tensor fields of mixed Young symmetry type

Michel Dubois-Violette;Marc Henneaux

144
Citations
On Curvature in Noncommutative Geometry

M. Dubois‐Violette;J. Madore;T. Masson;J. Mourad

119
Citations
On the first-order operators in bimodules

Michel Dubois-Violette;Thierry Masson

115
Citations
General solution of the consistency equation

Michel Dubois-Violette;Marc Henneaux;Michel Talon;Claude-Michel Viallet

112
Citations
Multilinear forms and graded algebras

Michel Dubois-Violette

105
Citations
Yang–Mills Algebra

Alain Connes;Alain Connes;Michel Dubois-Violette

104
Citations
B.R.S. algebras. Analysis of the consistency equations in gauge theory

Unknown

104
Citations
Homogeneous algebras

Roland Berger;Michel Dubois-Violette;Marc Wambst

103
Citations
Moduli Space and Structure of Noncommutative 3-Spheres

Alain Connes;Alain Connes;Michel Dubois-Violette

98
Citations
Linear connections on the quantum plane

Michel Dubois-Violette;John Madore;Thierry Masson;Jihad Mourad

96
Citations
Some results on local cohomologies in field theory

Michel Dubois-Violette;Marc Henneaux;Michel Talon;Claude-Michel Viallet

96
Citations
Conservation laws and integrability conditions for gravitational and Yang-Mills field equations

Michel Dubois-Violette;John Madore

95
Citations
Exceptional quantum geometry and particle physics

Unknown

89
Citations
Universal $q$-differential calculus and $q$-analog of homological algebra

Michel Dubois-Violette;Richard Kerner

86
Citations

Frequent Co-Authors

Alain Connes Collège de France

Marc Henneaux Collège de France

Peter W. Michor University of Vienna

John Madore Université Paris Cité

External Links

Personal website of Michel Dubois-Violette

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