Main research interests

• Operator algebraic quantum groupoid theory
• Dynamics of operator algebraic quantum groups
• Noncommutative geometry

Research output

• Preprints
• Algebraic quantum transformation groupoids of compact type [arXiv]
• Yetter-Drinfeld algebras over a pairing of multiplier Hopf algebras [arXiv]
• Notes on Yetter-Drinfeld algebras over Hopf algebras [arXiv]


• In preparation:
• Planar algebras and ergodic actions of compact quantum groups
• The Kac-Takesaki operator of an algebraic quantum groupoid
• C*-algebraic quantum groupoids arising from algebraic quantum transformation groupoids


• In progress:
• L^p-Fourier transform on measured quantum groupoids
• Fourier analysis on cocycle crossed products
• Tannaka-Krein duality for compact quantum groupoids
• Composition of subfactors and quantum structures


• Publications
• Classical actions of quantum permutation groups (with A. Freslon and S. Wang)
  Journal of Operator Theory, in press [journal][arXiv]
• Tannaka-Krein reconstruction and ergodic actions of easy quantum groups (with A. Freslon and S. Wang)
  Communications in Mathematical Physics 399 (2023), 105-172 [doi][arXiv]


• Dissertations
• Quantum transformation groupoids: An algebraic and analytical approach
  PhD thesis, Université de Caen [hal][slides]
• Hilbert C*-modules and applications
  Master dissertation (in french), Université Paris 7 [pdf]
• On triangulated and derived categories
  Undergraduate dissertation (in spanish), Universidad Nacional de Ingeniería