My research involves defining
higher algebraic structures, often with the help of discrete geometry and
the theory of polytopes, and the application of these formulas to obtain
new results in algebraic topology and categorical symplectic geometry. I
am also interested in the associated connections to enumerative and
algebraic combinatorics. A recent and important part of my work is the
study of the Kashiwara–Vergne problem with the help of the theory of
operads.
Categorical coherence, polytopes, and Koszul duality, TallCat
Seminar, October 20, 2022, 14:00 UTC+3, Tallinn University
of Technology, Tallinn, Estonia.
Categorical coherence, polytopes, and Koszul duality,
invited talk at Higher
Structures in Prague, September 13, 2022, 14:00 UTC+2,
Institute of Mathematics of the Czech Academy of Sciences, Prague,
Czech Republic.
Ph. D. defense, Monday June 27th, 2022, Amphi Euler,
Institut Galilée, Université Sorbonne Paris Nord, Villetaneuse,
France. Slides
(in French). Picture!
Diagonals of polytopes and higher structures, Thursday
May 19th, 2022, 14:00 GMT+2, DGeCo
Seminar, Sorbonne Université, Paris, France.
Diagonals of polytopes and higher structures, Thursday
May 5th, 2022, 11:00 GMT+2, Topology,
Geometry and Algebra Seminar, Nantes Université, Nantes,
France.
Diagonals of polytopes and higher structures, Friday
February 25, 2022, 15:10 GMT+2, Higher
Algebraic Structures Seminar, Mittag-Leffler Institute,
Djursholm, Sweden.
The diagonal of the multiplihedra and the tensor product of
A-infinity categories, Wednesday January 5, 2022, 9:30
GMT+1, Opening
workshop of the ANR HighAGT, Paris, France.
The diagonal of the operahedra, Monday December 13, 2021,
12:00 GMT+2, Topology
Seminar, University of Barcelona, Spain.
The diagonal of the operahedra, Wednesday December 8,
2021, 10:30 EST, Geometry
and Topology Seminar, Toledo University and Bolwing Green
State University, United States of America.
Opérades et algèbres associatives à homotopie près,
Séminaire de géométrie symplectique de l'Université de Montréal, 4
septembre 2019, Montréal, Québec.
Autour du théorème d'Artin--Rees, Groupe de lecture en
algèbre commutative, 21 janvier 2019, Université Pierre et Marie
Curie, Paris, France.
Model
categories, The University of Melbourne, Fall 2023.
Organizers: Marcy Robertson, Guillaume Laplante-Anfossi.
Higher genus Kashiwara-Vergne groups, The University of
Melbourne, Winter 2023. Organizer: Marcy Robertson.
Tamari lattices and related structures, Université de
Paris, Fall 2022. Organizers: Matthieu Josuat-Vergès and Sylvie
Corteel.
Goodwillie
calculus, Fall 2021. Organizer: Geoffroy Horel
(Université Sorbonne Paris Nord).
Grothendieck-Teichmüller
Groups & Applications. From October 1st, 2020 to
April 30th, 2021. Organizers: Goeffroy Horel (Université Sorbonne
Paris Nord) and Bruno Vallette (Université Sorbonne Paris Nord).
Mandell's
Theorem. From September 26th to December 12th, 2019.
Organizer: Geoffroy Horel (Université Sorbonne Paris Nord).
Persistent
Homology. From October 11th to December 20th, 2018.
Organizers: Grégory Ginot (Université Sorbonne Paris Nord) and Bruno
Vallette (Université Sorbonne Paris Nord).
In the 3rd chapter, I tried to give the
intuition of operads as « treelike » generalization of associative
algebras. Section 2.6 and the beginning of Chapter 4 try to give the
intuition for associative algebras up to homotopy and their tensor
product.