Bachelor's degree with Honors in Mathematics (University of São Paulo - USP, 2017), Master's degree in Mathematics (USP, 2020) and PhD in Mathematics (USP and Claude Bernard University Lyon 1 (UCBL, France), 2025). My main interests lie in the theory of algebras (associative or non-commutative) and their representations, in particular, representations of Lie algebras, quantum groups and Hall algebras. (Source: Lattes Curriculum)
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The main goal of this project is the study of combinatorial aspects of the representation theory of Lie Algebras, in particular their cuspidal representations. In a remarkable paper, O. Mathieu classified the irreducible weight modules by classifying cuspidal representations via coherents families. In his work, the author obtained combinatorial properties such as a formula for the degree …
This project is for Master program in the area of algebra. The goal of this project is to study the structure and representation theory of affine wreath product algebras. These algebras appear naturally in Heisenberg categorification and generalize many important algebras (degenerate Hecke algebras, affine Sergeev algebras and wreath Hecke algebras). The whole class was introduced by D. R…
The goal of this project is to study combinatoric aspects of irreducible cuspidal representations of a simple lie algebra g and their relation with g-modules that are finitely generated by the universal envelop algebra of h, a fixed Cartan sub algebra of g. Cuspidal representation was classified by Olivier Mathieu, that also gave a formula for their weight spaces dimensions. We intend to …
The goal of this project is to study the representation theory of affine wreath product algebras. These algebras appear naturally in Heisenberg categorification and generalize many important algebras (degenerate affine Hecke algebras, affine Sergeev algebras and wreath Hecke algebras). The whole class was introduced by D. Rosso and A. Savage. The second author studied both structure and r…
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