CV Lattes
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Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. Instituto de Biociências, Letras e Ciências Exatas (IBILCE) (Institutional affiliation from the last research proposal) Birthplace: Brazil
graduation at Matemática from Universidade Estadual Paulista Júlio de Mesquita Filho (1983), master's at Mathematics from Universidade Estadual de Campinas (1986) and doctorate at Mathematics from Universidade Estadual de Campinas (1992). Has experience in Mathematics, focusing on Algebric Topology, acting on the following subjects: cohomologia de grupos, homologia de grupos, decomposição de grupos, dualidade and invariantes relativos. (Source: Lattes Curriculum)
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The goal of this project is, through the study of the ordinary cohomology of groups, Tate cohomology and Farrell cohomology to show applications in the context of Algebraic Topology. In this context will be studied topics of the theory of groups with periodic cohomology, detailing results and necessary and sufficient conditions for a group to have this property. Also, will be studied some…
These project deals of the study of two technics for calculating the homology groups of a space X: the singular homology groups and the homology group of a CW-complex, named cellular homology, and their properties. The technics of cellular homology are more geometrics than singular homology for computing the homology groups of a CW- complexe. But, for studying in more depth the cellular h…
The present project is an introduction to algebraic topology with the study of some topics in homotopy theory, specifically the study of the fundamental group of a topological space X. Will be seen among other topics: definition, main properties and examples of the fundamental group, the fundamental group as a homotopic invariant, and some examples of calculation of the fundamental group …
| 8 / 3 | Completed scholarships in Brazil |
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