Contact: marco.robalo (^) imj-prg.fr

Research

Research Interests: (Derived) Algebraic Geometry, Motives, Higher Category theory and Higher Algebra

A Universal HKR Theorem
Joint with Tasos Moulinos and Bertrand Toen - Geometry and Topology.

Gromov-Witten theory with derived algebraic geometry
Joint 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 - Panoramas et Syntheses.
Here is an Introduction to infinity categories prepared for this school.

Motivic Realizations of Matrix Factorizations and Vanishing Cycles
Joint with A. Blanc , Bertrand Toen and G. Vezzosi - Journal École Polytechnique.
Video

A lemma for microlocal sheaf theory in the infinity-categorical setting.
Joint with P. Schapira - PRIMS.

Brane actions, Categorification of Gromov-Witten theory and Quantum K-theory
Joint with Etienne Mann - Geometry and Topology.
Slides

K-Theory and the bridge from Motives to non-commutative Motives
- Advances in Mathematics.
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.

Theorie Homotopique Motivique des Espaces non-commutatifs
PhD Thesis , Université de Montpellier - supervision of Bertrand Toen.




Work in progress

On the categorification problem for motivic Donaldson-Thomas invariants
Joint with Benjamin Hennion and Julian Holstein - Slides of work in progress.

Enseignement

2015/2016


Master 1 (TD) Geometrie Differentielle

Master 1 (TD) Groupes et Algebres de Lie