The Lambrechts–Stanley Model of Configuration Spaces
– Preprint, submitted (50 pages), .
Opérades et Structures Commutatives à Homotopie Près
– Graduate J. Math. 1.1, pp. 9–17, .
PDF Journal
Homologie et complexes de déformations d’opérades $E_n$
– Master’s thesis, Université Paris 7, .

Higher Structures
2019-01-21?CIRM, Marseille

Abstract: TBA

Derived Geometry and Higher Categorical Structures in Geometry and Physics
2018-06-20The Fields Institute, Toronto, Canada
Slides Video Article

Curved Koszul duality and factorization homology
Abstract: Koszul duality is a powerful tool that can be used to produce resolutions of algebras in many contexts. In this talk, I explain how to use curved Koszul duality for algebras over unital operads to compute the factorization homology of a closed manifold with values in the algebra of polynomial functions on a standard shifted symplectic space.

Departmental colloquium
2018-06-05University of Regina

Configuration Spaces and Graph Complexes
Abstract: Configuration spaces of points are classical objects in algebraic topology that appear in a wide range of applications. Despite their apparent simplicity, they remain intriguing. Kontsevich proved in the 90's that they are intimately related to "graph complexes", combinatorial objects that can be used to explicitly describe the homotopy type of configuration spaces in a Euclidean space. After recalling the above story, I will explain a conjecture of Lambrechts and Stanley about configuration spaces of simply connected closed manifolds. I will then give an idea of the proof of this conjecture, using graph complexes similar to the ones appearing in the works of Kontsevich. I will also describe recent generalizations: for manifolds with boundary, and for so-called "framed" configuration spaces (j/w Campos, Ducoulombier, Lambrechts, and Willwacher). Finally, I will talk about applications of these results.

Graph Complexes, Configuration Spaces and Manifold Calculus
2018-05-24University of British Columbia, Canada
Slides Article

Configuration Spaces of Manifolds with Boundary
Abstract: We study the real homotopy type of configuration spaces of smooth compact manifolds with boundary. We built combinatorial model based on graph complexes for these configuration spaces. We have three different approaches: 1. the Swiss-Cheese operad naturally acts on colored configurations in the manifold, and we build models using Willwacher's graphical model for this operad; 1. the collection of configurations in a collar around the boundary of the manifold is naturally endowed with a homotopy associative algebra structure, by gluing, which naturally acts on the collection of configurations of the whole manifold, and we build models for this action; 3. under dimensionality and connectivity assumptions, we provide a small model inspired by the Lambrechts--Stanley model for configuration spaces of closed manifolds. (Joint work with Ricardo Campos, Pascal Lambrechts, and Thomas Willwacher)

Séminaire de topologie, géométrie et algèbre
2017-12-21Université de Nantes
Slides Article

Espaces de configuration de variétés compactes
Abstract: L'objet de cet exposé est le type d'homotopie réel des espaces de configuration de variétés compactes simplement connexes, avec ou sans bord. Sous certaines conditions, nous donnons un modèle réel explicite de ces espaces de configuration et qui ne dépend que du type d'homotopie réel de la variété donnée. De plus, nous étudions l'action des opérades des petits disques sur les espaces de configuration, et nous démontrons que le modèle est compatible avec cet action. Dans le cas des variétés à bord, nous démontrons aussi que le modèle est compatible avec l'action des opérades Swiss-Cheese.


One question people often ask is why the university is called “Paris 7”, followed by the realization that there are (were!) thirteen universities in Paris, numbered from “Paris 1” to “Paris 13”. Here’s an attempt at explaining it (though I’m sure I can’t cover all the reasons.)

I finally got the confirmation from the ministry: I definitively got the job and I will be appointed in Paris-VII! A new life is about to begin… I’ve been at the Fields Institute (in Toronto) for a week now, to participate in the summer school on derived geometry and higher structures. The lectures and talks are delightful! This whole conference is impressive! Hopefully my own talk yesterday was not out of place.
Last week was life-changing, to say the least. I was interviewed for two maître de conférences(1) positions, one in Université Paris Diderot, the other in Université Paris-Sud. And… I got ranked first for both jobs! So by all accounts I should have a permanent position next September. The difficult question I have to answer soon is which one. As they correspond to rather different profiles and expectations, this is not an easy choice.

This is a cautionary tale, with the hope that this post could help future applicants for permanent academic positions in France.

This past month, I’ve had the pleasure of applying for maître de conférences jobs – roughly equivalent to something between assistant/associate professor. It turned out to be a singularly more complicated process than I expected. The actual scientific part of the application was not too taxing, as I already had to do it when I applied for a chargé de recherche (“junior scientist”) job at CNRS in December, and my research statements, CV… didn’t change much since then. The administrative part was the kafkaesque part.

Many changes have happened in my life recently! I defended my PhD on November 17th. I guess I’m a doctor now! There are too many people to thank for that, so please see the “Thanks” section of my thesis. I am now entering the scary world of job applications. I am discovering the wonderful “GALAXIE” web application – fellow French job applicants know my pain. Fortunately, starting on February 1st, I have had the chance of becoming a postdoc at ETH Zürich in the group of Thomas Willwacher, funded by his ERC grant 678156–GRAPHCPX.