PhD in Mathematics from IME-USP. Completed a postdoctoral internship in mathematics at UFPB under the supervision of Prof. João Marcos do Ó and at the University of Friburgo (Switzerland) under the supervision of Prof. Anand Dessai. He is currently a postdoctoral fellow in Mathematics at IMECC-Unicamp, under the supervision of Prof. Lino Grama. His research is focused on Riemannian geometry, specifically with symmetry assumption, seeking a better view of the geometry, dynamics and physics on these manifolds. (Source: Lattes Curriculum)
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This postdoctoral research program lies in the area of Riemannian geometry with two main focus: in the subarea of positive/non-negative curvatures, we aim via the study of the geometry and dynamics of exotic spheres, to possibly find invariants and/or hints to the existence/obstruction to metrics with such curvature assumptions on exotic manifolds and manifolds with symmetries in the form…
A procedure commonly used to construct metrics of positive or non-negative sectional curvature is the Cheeger deformation. The aim of this project is to base a generalization of this deformation, tracing its parallel with geometric analysis, in order to obtain obstruction or/and sufficient conditions for positive/nonnegative sectional curvature on principal bundles and other families of m…
The objective of project is to formulate and prove the Hodge theorem. Discussed topics include differentiable manifolds, the de Rham cohomology, integration of forms, forms on manifolds, Laplace operators and a brief introduction to Kahler manifolds. (AU)
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