Main research interests

• Operator Algebraic Quantum Groupoid Theory;
• Dynamics of Operator Algebraic Quantum Groups;
• Subfactor Theory; C*-Dynamical Systems;
• Representation Theory; Category Theory;
• Noncommutative Geometry, Noncommutative Algebraic Geometry.

Publications and preprints

• Publications
• Tannaka-Krein reconstruction and ergodic actions of easy quantum groups (with Amaury Freslon and Simeng Wang)
  Communications in Mathematical Physics 399 (2023) [doi][arXiv]
• Quantum transformation groupoids: An algebraic and analytical approach
  PhD thesis (2018) [hal][slides]


• Preprints
• Classical actions of quantum permutation groups (with Amaury Freslon and Simeng Wang)
  submitted [arXiv]
• Algebraic quantum transformation groupoids of compact type
  submitted [arXiv]
• Yetter-Drinfeld algebras over a pairing of multiplier Hopf algebras
  submitted [arXiv]
• Notes on Yetter-Drinfeld algebras over Hopf algebras
  [arXiv]


• In preparation:
• The Kac-Takesaki operator of an algebraic quantum groupoid
• Locally compact quantum groupoids arising from algebraic quantum transformation groupoids


• In progress:
• Composition of subfactors and quantum groupoids
• Planar algebras and actions of quantum groups

Other writings

• Hilbert C*-modules and applications. Master dissertation (in french)
• On triangulated and derived categories. Research report (in spanish)
• Derived functors on abelian categories. Research report (in spanish)