Work in Progress

Gluing invariants of Donaldson-Thomas type

joint with Benjamin Hennion and Julian Holstein

SLIDES VIDEO

Research Notes

Choices of HKR isomorphisms

PDF (fixed typos) ARXIV SLIDES

Publications zbMath Arxiv

A Universal HKR Theorem

joint with Tasos Moulinos and Bertrand Toen

PUBLISHED ARXIV SLIDES (Toen's 50th Birthday Conference)

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.

PUBLISHED ARXIV

Motivic Realizations of Matrix Factorizations and Vanishing Cycles

joint with Anthony Blanc, Bertrand Toen and Gabriele Vezzosi

PUBLISHED ARXIV SLIDES VIDEO

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

joint with Pierre Schapira

PUBLISHED ARXIV

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

joint with Etienne Mann

PUBLISHED ARXIV SLIDES

K-Theory and the bridge from Motives to non-commutative Motives

PUBLISHED ARXIV part1, part2

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.

Theses

Applications of derived algebraic geometry in enumerative geometry and invariants of singularities.

Habilitation thesis, February 2024

PDF SLIDES (Requires Adobe for the animations)

Theorie Homotopique Motivique des Espaces non-commutatifs

PhD Thesis, University of Montpellier - supervision of Bertrand Toen

PDF

Notes from schools

Derived geometry and DT theory - Amiens, 2024 (requires adobe)

Notes on Joyce's Vertex algebras and moduli spaces. at Skye 2023

Notes from winter school in DT theory - Aussois 2022

Introduction to infinity categories - Toulouse 2017

Brane actions and cohomological field theories - 2017