CV Lattes
Universidade Federal de São Carlos (UFSCAR). Centro de Ciências Exatas e de Tecnologia (CCET) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Mathemathics Bachelor's degree from the Federal University of São Carlos (UFSCar 2017). Master degree by the Program of PostGraduate in Mathematics (PPGM) of the Mathematics Department (DM- UFSCar), under supervision of Prof. Dr. Alexandre Paiva Barreto and dissertation entitled "Minimal Surfaces and the Min-Max Theory of Algrem--Pitts" (FAPESP scholarship). During his masters, studied for five months in Princeton University (EUA), as a visiting student (VSRC, Visiting Student Research Collaborator), funded by the program BEPE of FAPESP. At Princeton, was supervised by Prof. Fernando Codá Marques.Regular doctorate student (2020-present) at the PPGM-UFSCar program, under supervision of Prof. Dr. Alexandre Paiva Barreto. (Source: Lattes Curriculum)
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Since the works of Schoen and Yau in the late 70's, it became clear that the existence of a minimizing area surface might to exert great influence on the geometry of a Riemannian 3-manifold. Along the last few years, researchers as M.Cai, G.J.Galloway, H.Bray, S.Brendle, F.C.Marques and A.Neves have proved several rigidity results which made use of the existence of such minimizing surfa…
We will study the Almgren-Pitts Min-Max method to construct and analyze minimal surfaces. Our research will be guided by the recent article Rigidity of min-max minimal spheres in three-manifolds, by F. C. Marques and A. Neves, where it is proved, among other results, that any metric on a three-sphere which has scalar curvature greater than or equal to 6 and is not round must have an embed…
| 1 / 1 | Completed scholarships in Brazil |
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