My research interests belong to the areas of Algebra, Functional Analysis, and Linear Algebra. Recently, I have been working in the following topics:
Functional Identities;
Lvov-Kaplansky's Conjecture;
Some Linear Preserver Problems;
Non-commutative Banach Algebras (jointly with Professor Luiza A. de Moraes - UFRJ - Brazil);
Positive and Stricly Positive definite kernels (jointly with Professor Valdir A. Menegatto - Visiting Professor at UFJF);
Lineability or not of some subsets (jointly with Pedro Emerick and Jorge Gárces);
Linear Preservers (jointly with Alexander Guterman and Elena Kreines);