Post-doctoral contract: geometric, ergodic and measured group theory, operator algebras (M/F)

Job Description

Missions

The hired person will work as a member of the ERC StG project "Artin groups, "Artin groups, mapping class groups and Out(Fn): from geometry to operator algebras via measure equivalence" (PI: Camille Horbez). This project lies in the framework of geometric and ergodic / measured group theory and its interactions with operator algebras.

The research of the hired person should be related to the main themes of the ERC project, which are as follows:
- Geometric group theory: Artin groups and Coxeter groups, graph products, mapping class groups of surfaces, automorphism groups of free groups, and their actions on non-positively curved spaces; automorphism groups of simplicial/cubical complexes associated to these groups, and their lattices;
- Measured group theory: Orbit and measure equivalence and their quantitative versions, l^2-Betti numbers, measured equivalence relations associated to group actions, cost;
- Rigidity theory: Abstract commensurator, quasi-isometric rigidity, measure equivalence rigidity, rigidity for operator algebras;
- Operator algebras: Von Neumann algebras associated to groups and their actions on probability spaces, proper proximality in the sense of Boutonnet-Ioana-Peterson.

Activity

- Research in the topics of the ERC project, specified above
- Participation to the scientific life of the department (seminars and working groups)
- Interactions with the other members of the project and of the team

Your Profil

Skills

Knowledge in one of the topics of the project.

Your Work Environment

The hired person will work in the team Topology and Dynamics of the Laboratoire de Mathématiques d'Orsay (Université Paris-Saclay), with transfer to UMPA (ENS Lyon) starting from October 1st, 2026. The research topics of the team include group theory (in its geometric, ergodic, and measurable aspects) and operator algebras (and further away from the project, dynamical systems, differential geometry, topology). The team has a weekly seminar, and the members of the team working in the thematics of the project gather each week during the working group "Groups and actions".

Compensation and benefits

Compensation

between 3081.33 and 4291.70 eur gross monthly salary, depending on the experience of the candidate

Annual leave and RTT

44 jours

Remote Working practice and compensation

Pratique et indemnisation du TT

Transport

Prise en charge à 75% du coût et forfait mobilité durable jusqu’à 300€

About the offer

About the CNRS

The CNRS is a major player in fundamental research on a global scale. The CNRS is the only French organization active in all scientific fields. Its unique position as a multi-specialist allows it to bring together different disciplines to address the most important challenges of the contemporary world, in connection with the actors of change.

CNRS

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