Research

Differential geometry, higher structures, and mathematical physics.

Research interests

My research interests are in differential geometry, especially Poisson geometry; higher structures, including Lie groupoids and Lie algebroids; singular foliations; and mathematical physics.

Poisson geometrySingular foliationsHigher structuresInfinite-dimensional geometry

Current work

I am currently thinking about the linearization of dg-manifolds and Lie ∞-algebroids around their singular points or submanifolds.

My PhD thesis, Infinite-dimensional Lie algebras in differential geometry and mathematical physics, is supervised by Leonid Ryvkin at Université Claude Bernard Lyon 1.

Publications

In preparation

The Lie algebra of contact vector fields is centrally closed.

Bas Janssens, Stefan Haller, Cornelia Vizman, and Anastasios Fotiadis

Master’s theses

Non-commutative Poisson-vertex and Courant-Dorfman algebras

Université de Bourgogne, Math4Phys.
Supervised by Maxime Fairon.

Curvature and Torsion in Graded Geometry

Aristotle University of Thessaloniki.
Supervised by Panagiotis Batakidis.

Talks, conferences, and workshops →