Research
My main research interest is the study of the geometry of the moduli space of torsion free sheaves on projective schemes, and their relation with the moduli spaces of Representations of Quivers and Posets.
I am also interested in the study of Lefschetz properties of artinian algebras and their relations with algebraic and differential geometry.
Publicações
Lefschetz property and powers of linear forms in K[x,y,z] ,Forum Mathematicum, 30(4): 857-865 2018. Em conjunto com Aline V. Andrade.
Gaps in the number of generators of monomial Togliatti systems Journal of Pure and Applied Algebra, 223(4): 1817-1831 2019. Em conjunto com Aline V. Andrade e Rosa Maria Miró Roig.
The Spectrum of Torsion Free Sheaves on $\mathbb{P}^3$ and Applications Matematica Contemporânea, 47, 1-20, 2020.
New moduli components of rank 2 bundles on projective space, Sbornik Mathematics, v. 212, p 3-54 (2021) Em conjunto com Marcos Jardim, Alexander Tikhomirov e Sergey Tikhomirov.
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). Em conjunto com Marcos Jardim, Alexander Tikhomirov.
A generalization of Cayley-Hamilton algebras and an introduction to their geometries, Em conjunto com Claudemir Fidelis e Lucas Galdino, Israel Journal of Mathematics, Aceito para publicação (2022).
On higher Jacobians, Laplace equations and Lefschetz properties, with Aline V. Andrade e Rodrigo Gondim, submetido(2023).
Embedding theorems as a bridge between supertraces and supergeometry. with Claudemir Fidelis e Lucio Centroni. Submetido (2023).