Guido Neulaender graduated in Mathematics from the State University of Campinas (UNICAMP), SP, Brazil. He's currently working towards his PhD in Mathematics at UNICAMP. His research interest lays in the topics of Algebraic Geometry and Category Theory, specially in projective varieties and derived categories of coherent sheaves. (Source: Lattes Curriculum)
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This project seeks to contribute to the study of Bridgeland stability conditions, first introduced by Bridgeland in 2002, on smooth projective three-fold, whose case is still lacking in the current literature. A special focus is given to the problem of finding stability conditions on the blow-up of the projective space over smooth curves, following the 2019 work by Martinez-Schmidt-Das fo…
This project will consist of the study of derived categories and Fourier-Mukai transforms with the objective of understanding the construction of both those objects and of their most important tools. An special focus will be given to the definition of derived categories of coherent sheaves of a scheme and their algebraic properties. As an application of the studied methods, the project wi…
This project will consist in the study of Algebraic Varieties and Schemes with the intention of characterizing both objects and understanding the relationship between them. A special attention will be given to the schemes that cannot be represented with a variety structure, aiming to comprehend the advantages of the more modern definition compared to the classic one. During the course of …
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