graduation at Matemática from Pontifícia Universidade Católica do Rio de Janeiro (2014). (Source: Lattes Curriculum)
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The importance of manifolds with constant sectional curvatures equal to -1 can hardly be overstated. Some of the milestones in modern Mathematics, such as Riemann's Uniformisation Theorem and Thurston's Hyperbolisation Theorem, revolve around hyperbolic 2- and 3-manifolds. These objects, in turn, are inexorably linked to the understanding of Fuchsian and Kleinian groups.The arithmetic pro…
The focus of my research is to study arithmetic properties of Fuchsian groups in order to better understand geometric invariants of their associated hyperbolic surfaces. This project is built around the question of determining the commensurability class of a Fuchsian group from its length spectrum. More precisely, we aim to apply the techniques developed in the work of A. Reid to a broade…
| 1 / 1 | Completed scholarships in Brazil |
| 1 / 1 | Ongoing scholarships abroad |
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