CV Lattes
ORCID
Abstract
We propose to study topological invariants of three manifolds with the aim to understand whether quantum invariants are able to distinguish the homotopy type of these manifolds.
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Bachelor and Master in Mathematics at the university UNESP. Currently a Doctorate student at Ufscar in the area of Algebraic Topology. Studied advanced English in Gwinnett Tech in the USA. Took a class of Calculus at the University of North Georgia. Research internship at Institut Fourier in Grenoble, France . Have experience with text editing on LaTex and knowledge in programming language Python. Scholarship professor as a graduate student at UNESP in the topics Real Analysis III, Calculus I and II, Linear Algebra II, Algebraic Structures I and Number Theory. (Source: Lattes Curriculum)
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Scholarships in Brazil
- Topics on algebraic topology II, BP.IC
Abstract
This main goal of this project is to study concepts and techniques of Algebraic Topology which will give a solid background to a student who intend to do a graduate school in this area. The student already developed, under my supervision, the following topics: fundamental group, singular homology and make calculations, by using Mayer-Vietoris sequence. This project will focus on more ad…
- Topics in algebraic topology and applications, BP.IC
Abstract
The main goal of this project is to prepare the student to a graduate course in Mathematics. He will study basic topics in Algebraic Topology, particularly fundamental groups, Singular Homology theory, Orientation of Manifolds, Singular Cohomology Theory, Cup and Cap Products and Poincaré Duality. (AU)
Scholarships abroad
- Topological invariants of 3-manifolds, BE.EP.DR
Abstract
This project aims to study quantum invariants of 3-manifolds arising fromTopological Quantum Field Theories (TQFTs), following the foundational work ofReshetikhin and Turaev. These TQFTs are constructed from modular categories-algebraic structures that contain simple objects, a braiding, a twist, and a duality-providing the necessary data to define topological invariants of closed 3-manif…
Total / Available in English
| 1 / 1 | Ongoing scholarships in Brazil |
| 2 / 2 | Completed scholarships in Brazil |
| 1 / 1 | Ongoing scholarships abroad |
| 4 / 4 | All Scholarships |
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