Academic interests
Quantum groups, Operator Algebras, Monoidal Categories, Dynamical Systems
Background
Bachelor degree in physics (State University of Londrina, Brazil)
Master Degree in Mathematics ( Federal University of Porto Alegre, Brazil)
Preprints
C*-Algebraic Factorization Homology and Realization of Cyclic Representations
(arXiv:2304.07155, accepted for publication at Quantum Topology).
Actions of compact and discrete quantum groups on operator systems
(arXiv:2304.14055)
joint with Joeri De Ro.
The involution kernel and the dual potential for functions in the Walters' family (Qual. Theory Dyn. Syst. 22, 26 (2023).)
joint work with A. O. Lopes.
Injectivity for algebras and categories with quantum symmetry (arXiv:2205.06663)
joint work with M. Yamashita.
Noncommutative Poisson boundaries and Furstenberg-Hamana boundaries of Drinfeld doubles
(JMPA, Volume 159, March 2022)
joint work with E. Habbestad and S. Neshveyev.
Spectral Triples on Thermodynamic Formalism and Dixmier Trace Representations of Gibbs: theory and examples (arXiv:1804.01362)
joint work with A. Lopes, L. Cioletti and M. Stadlbauer.
Talks
Danish-Norwegian Operator Algebras, Trondheim, Nov. '21: Boundary Actions, Drinfeld Doubles and Free Unitary Quantum Groups;
QGS, Online, May '22: Yetter-Drinfeld algebras, module categories and injectivity;
Seminar talk at Leuven Operator Algebras Group, June'22: Injective Envelopes of C*-module categories;
Operator Algebras: Subfactors, K-theory and CFT, Wales July'22: Injective envelopes of C*-module categories and boundary theory;
Noncommutative harmonic analysis and quantum groups, Sep. '22: Categorification of Yetter-Drinfeld structures.
Organization of events
YMC*A 2022, Oslo, Norway.