CV Lattes
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Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica (IMECC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Currently, I am an assistant professor at the Federal University of Minas Gerais. I am interested in classification problems in algebra and algebraic geometry, with a focus on classification problems for torsion-free sheaves on projective schemes, and their applications to characterizing algebras and superalgebras. I am also interested in studying Lefschetz properties in Artinian algebras and their relationships with algebraic geometry and differential geometry. (Source: Lattes Curriculum)
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In this project we will study vector bundles on algebraic varieties, especially projective spaces, hyperquadrics and grassmanians, through the structure of their cohomology rings. Our starting points are a firm knowledge of the few examples of indecomposable low rank bundles on projective spaces, and the recent work of Eisenbud and Schreyer. The goal are searching for new examples of inde…
We will study varieties, with the main goal of understanding the proof Bezout's Theorem. We introduce the concepts of sheaves and schemes, which are the basic technical machinery to later studies in algebraic geometry. (AU)
The main goal of this research project is to provide a monad-like description to reflexive sheaves on projective spaces, which will allow to obtain bounds to the number of components of the moduli space of semistable torsion free sheaves with small Chern classes on projective space. (AU)
| 2 / 2 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 3 / 3 | All Scholarships |
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