My primary research interests lie in the study of the geometry of moduli spaces of torsion-free sheaves on projective schemes. I am also interested in the study of Lefschetz properties in artinian algebras, and their relationships with algebraic and differential geometry.

Publications

1. Lefschetz property and powers of linear forms in K[x,y,z], Forum Mathematicum, 30(4): 857-865 2018. With  Aline V. Andrade.

2. Gaps in the number of generators of monomial Togliatti systems Journal of Pure and Applied Algebra, 223(4): 1817-1831 2019.  With  Aline V. Andrade and Rosa Maria Miró Roig.

3. The Spectrum of Torsion Free Sheaves on $\mathbb{P}^3$ and Applications Matematica Contemporânea, 47, 1-20, 2020.

4. New moduli components of rank 2 bundles on projective space, Sbornik Mathematics, v. 212, p 3-54 (2021) With  Marcos Jardim, Alexander Tikhomirov eand Sergey Tikhomirov.

5. Irreducible components of the moduli space of rank 2 shaves of odd determinant on $\mathbb{P}^3$  Advances in Mathematics, v.402,p.108363 (2022). With  Marcos Jardim, and  Alexander Tikhomirov. 

6. A generalization of Cayley-Hamilton algebras and an introduction to their geometries, with  Claudemir Fidelis e Lucas Galdino, Israel Journal of Mathematics, 2024.

7. On higher Jacobians, Laplace equations and Lefschetz properties, with Aline V. Andrade and Rodrigo Gondim, (2023).

8. Embedding theorems as a bridge between supertraces and supergeometry. with Claudemir Fidelis e Lucio Centroni, (2024).

9. Splitting   of supervector bundles on projective superspaces, with Ugo Bruzzo accepted for publication Annali di Matematica Pura ed Applicata (2025).

10. Superring extensions and fixed subalgebra structures, with Claudemir Fidelis e Lucio Centroni (2025).