CV Lattes
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Abstract
The goal of this project is to introduce the awardee to Intersection Homology Theory: an important set of invariants, which substitute the usual homology in the study of singular varieties.
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I have a BSc. Degree in Mathematics at ICMC - USP. During my graduation, I worked in Scientific Initiation projects with focus on the areas of Algebraic Geometry and Complex Analytical Geometry. During my undergraduate studies, I have been awarded four FAPESP grants, three Scientific Initiation grants and a Research Internship Abroad grant at Leibniz Universität Hannover, in Germany, where I spent four months studying Determinantal Singularities. Now, I am a PhD student at IMPA in the field of Complex Geometry, specially Calabi-Yau Manifolds and Hodge Theory. More specifically, I work with Open Gromov-Witten invariants and Mirror Symmetry, with the goal of contructing a theory of "quasi-modular" forms in this context. (Source: Lattes Curriculum)
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Scholarships in Brazil
- Intersection homology and applications to singularity theory, BP.IC
- Introduction to complex analytical geometry, BP.IC
Abstract
Subsets of complex spaces, affine or projective spaces defined by polynomial equations are studied in Algebraic Geometry. Examples are quadrics, cubics, etc. In Analytic Geometric the first objects of investigations are subsets of these spaces defined by analytic equations. As every polynomial is an analytic function, this set of objects contains the first one. Furthermore, the study of a…
- Transcendental methods of algebraic/complex geometry in hyperbolic geometry, BP.IC
Abstract
Transcendental methods of algebraic/complex geometry are becoming more and more efficient in hyperbolic geometry (see, for instance, the recent scientific events dedicated to such interplay: "Algebraic geometry and hyperbolic geometry - new connections", "Hyperbolicity 2015", "Hyperbolic geometry and dynamics", "Monge-Ampere equation and Calabi-Yau manifolds"). The goal of the project is …
Scholarships abroad
- Tjurina transform and determinantal singularities, BE.EP.IC
Abstract
The project proposes the study of determinantal singularities and of one of the main tools in this area: the Tjurina Transform. This is a way of apply the knowlege of Algebraic and Analytic Geometry obtained earlier. The main reference for this will be the article "On determinantal singularities and Tjurina Transform" by Anne Frühbis-Krüger. (AU)
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| 3 / 3 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 4 / 4 | All Scholarships |
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