Research

Research Interests: 

• Deformation theory and formal moduli problems.

• Homotopy theory (rationnal, p-adic).

• Derived/spectral algebraic geometry.

• Operadic calculus, higher structures and homotopical algebra.

Publications:

• The integration of curved absolute L-infinity algebras, 61 pages. To appear in Advances in Mathematics. [Arxiv] 

• Curved operadic calculus,  73 pages. To appear in Bulletin de la Société Mathématique de France. [Arxiv] 

Pre-prints:

• Homotopical operadic calculus in positive characteristic, with Brice Le Grignou, 125 pages. [Arxiv] (Submitted)

• Higher Lie theory in positive characteristic, 25 pages. [Arxiv] (Submitted)

• A new approach to formal moduli problems, with Brice Le Grignou, 29 pages. [Arxiv] (Submitted)

• Absolute algebras, contramodules and duality squares, 36 pages. [Arxiv] (Submitted)

Surveys:

• Associators from an operadic point of view, with Damien Calaque, 78 pages. To appear in the volume "Higher Structures and Operadic Calculus", Advanced Courses in Mathematics CRM Barcelona, Birkhauser. [Arxiv] 

Notes:

• Symmetric operads from a planar point of view, with Brice Le Grignou, 23 pages. [Arxiv] (Companion note to [Arxiv])

Research talks: 

• A new approach to formal moduli problems, University of Strasbourg. (2024)

• A new approach to formal moduli problems, University of Stockholm. (2024) 

• A new approach to formal moduli problems, Operadic methods in geometry, University of Barcelona. (2023)

• Absolute algebras and left transferred structures, Hamburg University. (2022)

• Integration of curved homotopy Lie algebras, Barcelona Conference for Higher Structures [Link][Video]

• Integration of curved homotopy Lie algebras, Mittag-Leffler Institut, Stockholm. (2022) [Video]

• Intégration des algèbres de Lie à homotopie près courbées absolues, Université Paul Sabater, Toulouse. (2022)

• Intégration des algèbres de Lie à homotopie près courbées absolues, Université de Nantes. (2022)

• Curved operadic calculus, ANR HAGT Working Seminar. (2022)

• Integration of curved homotopy Lie algebras, GDR Algebraic Topology, Strasbourg. (2021)

• Integration of curved homotopy Lie algebras, University of Málaga. (2020)

Working groups talks:

• Operadic calculus in positive characteristic, Workshop Alpes 2024, Sainte-Foy de Tarantaise. 

• Formal moduli problems, Homotopy theory in algebraic geometry and vice-versa. EPFL.

• Problèmes de modules formels et dualité de Koszul, Workshop, Paris 13. 

• Schémas de représentations et calcul différentiel non-commutatif, Double Poisson Workshop, Villaroger. [Notes: pdf]

• The twisting procedure, Grothendieck-Teichmüller Workshop, Paris 13. [Notes: pdf]

• Pro-unipotent completions. Grothendieck-Teichmüller Workshop, Paris 13. [Notes: pdf]

• Pro-nilpotent topological spaces. Mandell's Theorem Workshop, Paris 13.

PhD thesis:

• The integration of curved absolute homotopy Lie algebras, 192 pages. [Arxiv]

Undergraduate work:

• Structures monoïdales, operades et données quadratiques. (Master 2 Thesis, Advisor: Bruno Vallette) [pdf, in french]

• Etude algébrique des représentations de groupes. (Master 1 Thesis, Advisor: Benoît Stroh) [A copy available upon request, in french]