Preprints, Publications and Dissertations

• Preprints
• Algebraic quantum transformation groupoids of compact type
  Preprint LMO.


• Yetter-Drinfeld algebras over a pairing of multiplier Hopf algebras
  [arXiv]


• Notes on Yetter-Drinfeld algebras over Hopf algebras
  [arXiv]


• In preparation
• Tannaka-Krein reconstructions: From groups to quantum groupoids
• Locally compact quantum groupoids arising from algebraic quantum transformation groupoids


• Publications
• Tannaka-Krein reconstruction and ergodic actions of easy quantum groups (with A. Freslon and S. Wang)
  Commun. Math. Phys. 2022 (to appear). [journal][arXiv]


• Dissertations
• PhD thesis: Quantum transformation groupoids: An algebraic and analytical approach. Université de Caen, France.
  Supervised by Leonid Vainerman (Université de Caen, France) and Pierre Fima (Université Paris 7, France).


• MScR thesis: Hilbert C*-modules and applications (in french). Université Paris 7, France.
  Supervised by Georges Skandalis (Université Paris 7, France).


• BSc thesis: On triangulated and derived categories (in spanish). Universidad Nacional de Ingeniería, Peru.
  Supervised by Juan José Guccione (Universidad de Buenos Aires, Argentina).

Others

• Research notes
• Quantum symmetries of II₁ subfactors, LMO 2020.
• Notes on C*-simplicity, LMO 2020.
• Hyperbolic groups and II₁ subfactors, LMO 2019.
• Notes en géométrie triangulée tensorielle, LMNO 2019. [fr]
• Subfactors and Hecke algebras, LMNO 2017. [fr]
• Derived functors on abstract abelian categories, UNI 2009. [es]


• Outreach notes
• An introduction to quantum symmetries, LMO 2021. [en][fr][es]