Geometry, Topology, Algebra

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.