Main research interests
- Operator Algebraic Quantum Groupoid Theory
- Dynamics of Operator Algebraic Quantum Groups;
- Subfactor Theory; C*-Dynamical Systems;
- Higher Category Theory; Representation Theory;
- Noncommutative Geometry.
- Other research interests
- Geometric Group Theory; Lie Theory;
- Poisson Geometry; Noncommutative Algebraic Geometry.
Preprints and Publications
- Preprints
- Classical actions of quantum permutation groups (with A. Freslon and S. Wang)
Preprint 2023 [arXiv] (submitted)
- Algebraic quantum transformation groupoids of compact type
LMO preprint [arXiv] (submitted)
- Yetter-Drinfeld algebras over a pairing of multiplier Hopf algebras
LMO preprint [arXiv] (submitted)
- Notes on Yetter-Drinfeld algebras over Hopf algebras
LMO preprint [arXiv]
- Publications
- Tannaka-Krein reconstruction and ergodic actions of easy quantum groups (with A. Freslon and S. Wang)
In Communications in Mathematical Physics 399 (2023) [doi][arXiv]
- Quantum transformation groupoids: An algebraic and analytical approach
PhD thesis (2018) [hal][slides]
Other manuscripts
- An introduction to quantum symmetries, 2021.
- Hilbert C*-modules and applications, 2013. (in french)
- Triangulated and derived categories, 2010. (in spanish)
- Derived functors on abstract abelian categories, 2009. (in spanish)