Research works

Keywords:(zbMath) Derived Algebraic Geometry, Homotopy Theory, Enumerative Algebraic Geometry, Noncommutative Algebraic Geometry, Motives, Higher Categories.

 

Preprints

• Gluing invariants of Donaldson-Thomas type II: Gluing Matrix Factorizations ▼

  Submitted

  Joint with Benjamin Hennion and Julian Holstein
  Arxiv.
  

• Gluing invariants of Donaldson-Thomas type I: The Darboux Stack ▼

  Submitted

   Joint with Benjamin Hennion and Julian Holstein
  Arxiv Slides Video
  

 

Publications

• Choices of HKR isomorphisms ▼

   To appear in Mathematical Research Letters, 2025
  Arxiv, Slides
  

• A Universal HKR Theorem ▼

   Geometry & Topology, 2022.
  with Tasos Moulinos and Bertrand Toën
  Arxiv, Slides
  

• Gromov-Witten theory with derived algebraic geometry ▼

   Panorama et Synthèses, 2021. with Etienne Mann.
  This is a survey for the Summer School "Etats de la Recherche" (Toulouse, June 2017).
  The appendix section contains some new comparison results.
  Arxiv.
  

• Motivic Realizations of Matrix Factorizations and Vanishing Cycles ▼

   Journal de l’École Polytechnique, 2018.
  with Antony Blanc, Bertrand Toën, Gabriele Vezzosi
  Arxiv, Slides, Video
  

• A lemma for microlocal sheaf theory in the infinity-categorical setting ▼

   PRIMS, 2018
  with Pierre Schapira
  Arxiv
  

• Brane actions, Categorification of Gromov-Witten theory and Quantum K-theory ▼

   Geometry & Topology, 2017
  with Etienne Mann
  Arxiv, Slides
  

• K-Theory and the bridge from motives to non-commutative motives ▼

   
  Advances in Mathematics, 2015
  Erratum The author thanks M. Hoyois for finding the error in the proof of Lemma 3.25. We provide a new proof to Thm 4.7 avoiding the Lemma.
  Arxiv Part I, Arxiv Part II

 

Thesis

• Habilitation thesis, 2024 ▼

  Applications of derived algebraic geometry in enumerative geometry and invariants of singularities.
  Slides (Requires Adobe for the animations)
  

• PhD Thesis, 2014 ▼

  Theorie Homotopique Motivique des Espaces non-commutatifs
  University of Montpellier - supervision of Bertrand Toën