Holds a bachelor's degree (2016), master's (2018), and Ph.D. (2022) in Mathematics from the Institute of Mathematical and Computer Sciences (ICMC/USP).Served as a temporary professor at ICMC/USP during the second semester of 2022, teaching two courses in statistics.Completed a postdoctoral fellowship at the Max Planck Institute for Mathematics (2023). Currently a postdoctoral researcher at the Institute of Mathematics and Statistics (IME/USP), where he taught the course Classical Real Analysis for the applied mathematics master's program.Has experience in the field of Mathematics, with an emphasis on Geometry and Topology. Specialties include Hyperbolic Geometry, Differential Geometry, and Geometric Topology. (Source: Lattes Curriculum)
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This project aims to investigate the interplay between the following three areas of study: Teichmüller theory, dynamical systems, and real/complex hyperbolic geometry. Traditionally, Teichmüller's theory is based on complex analysis and hyperbolic geometry. One of the objectives of this project is to investigate Teichmuller theory from the viewpoint of classic geometry (an approach to hy…
A central question in Riemannian Geometry is the following: when does a given manifold admit a certain geometric structure? We are particularly interested in the case of a disc bundle over a closed orientable surface equipped with complex hyperbolic structure. Our main goal is to describe a certain deformation space of complex hyperbolic structures on disc bundles over surfaces. It time a…
This is a project that aims to familiarize the candidate with the concept of differential complexes that are associated with a given formally integrable structure besides studying under what conditions a certain class of these objects is globally solvable.
The purpose of this project is to provide to the student an advanced study in measure and integration theory, as well as an introduction to Fourier analysis and its applications to partial differential equations. (AU)
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