Head of the team : Charlotte Hardouin. Permanent members.

The research themes present in the team are very diverse:

• Derived algebraic geometry and homotopy theory

• Real and tropical algebraic geometry

• Geometric group theory and Teichmüller theory

• Non commutative geometry

• Riemannian and hyperbolic geometry

• History and philosophy of mathematics

• Arithmetic geometry

• Codes and Euclidean lattices

• Differential Galois theory and models theory

• Singularity theory

• Algebraic topology and homological algebra

• Quantum topology

• Low dimensional topology

• Symplectic and contact topology

Interactions with other teams of the IMT :

• Dynamics and Complex Geometry : through complex algebraic geometry and differential Galois theory

• Analysis : through analysis on manifolds

• Statistics and Optimisation : through topological data analysis and quantum information

Team Life :

The team meets for two major weekly seminars, "Geometry and Topology" on Tuesday mornings and "Homotopy in Algebraic Geometry" on Tuesday afternoons, as well as three day-long conferences in "History and Philosophy of Mathematics" each year. The team has two monthly seminars: “Number theory” alternating with ‘Maths-Computer Science” on Thursday afternoons.