Michel Rumin

Michel Rumin is a Lecturer at the Orsay Institute of Mathematics, University of Paris-Sud, France, with his office located in Building 307, Office 2N22 at the Orsay campus. He teaches advanced mathematics courses for engineering and physics students, including the Master M2 MSV deterministic modeling module and first-year Polytech engineering pathway covering linear algebra, differential equations, and numerical integration using Scilab practical work.

Rumin's research centers on differential geometry and spectral theory, with specialized expertise in contact manifolds, sub-Riemannian geometry, and Carnot groups. His work explores cohomology, spectral invariants, and analytic torsions, bridging geometric structures with analytical methods. Key contributions include foundational results on differential forms for contact manifolds (1990) and recent advances in topological aspects of spectral invariants (2024).

Analysis of his 13 publications from 1990-2024 reveals a consistent trajectory in geometric analysis: early work established frameworks for contact geometry, evolving through Carnot group cohomology (2018) toward dynamical/topological investigations of spectral invariants (2024). His research demonstrates persistent focus on non-Riemannian geometric structures, with increasing integration of topological and dynamical systems perspectives in recent years.

Scientific awards: No awards or fellowships are documented in the available materials.

Rumin actively mentors students through structured teaching materials including worksheets, test annals (2014-2016), and Scilab practical sessions for linear algebra and differential equations. His S2 PMCP course prepares students for physics competitive exams with comprehensive notes on vector spaces and matrix calculus. No research grants or laboratory affiliations are specified in the provided documentation.