Some background

I hold a PhD in Mathematics from the Orsay Mathematics Department under the supervision of Benjamin Hennion and Emanuele Macrì.

My field was derived algebraic geometry, which mixes modern homotopy theory with algebraic geometry.

I am interested in what some people might call abstract nonsense, especially if preceded by the ∞- prefix.

Preprints

1. On derived D-modules and their several definitions: arXiv:2510.15665. Abs

The so called theory of derived D-modules is an extension of classical D-modules to derived algebraic geometry, which uses the derived information of the base scheme. We prove that the three different definitions of derived D-modules, given by Beraldo, Nuiten and Toën-Vezzosi, on a (nice) derived scheme yield equivalent symmetric monoidal ∞-categories. We deduce this as a corollary of more general statements about Chevalley-Eilenberg cohomology of dg-Lie algebroids, proving a conjecture by E. Pavia, and about the relation between representations of a dg-Lie algebroid and some class of ind-coherent sheaves on the associated formal moduli problem, which can be of independent interest.

Some Old Writings

Caveat lector

• Master’s thesis: Derived moduli spaces of G-bundles.
  Written in Orsay under the supervision of Benjamin Hennion.
• Bachelor’s thesis: Analytic functions on p-adic fields.
  Written in Padua under the supervision of Maurizio Cailotto.
• Notes on the vertex algebra structure on chiral differential operators on an algebraic group.
  Written in Orsay for the M2 advanced course Introduction to Vertex Algebras by Anne Moreau.
• Notes on Grothendieck topologies.
  Written for the Scuola Galileiana’s course Introduction to category theory by Riccardo Colpi.
• Notes on Spectral Sequences.
  Written for the Algant master course Topology 2 by Andrea D’Agnolo.