About
Holds a bachelor's degree in Physics and a master's degree in Mathematics from the University of São Paulo, Brazil. Initial research focused on Riemannian geometry, with two studies on Ricci Flow in dimensions 2 and 3. With a strong interest in the application of differential geometry across different fields of knowledge, the master's research was dedicated to information geometry, aiming to unify various approaches in the area.
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Currently pursuing a PhD at Aix-Marseille Université and conducting research at the Institut Fresnel, applying methods from curved space geometry to statistical problems at the interface with optics. The work follows an intersectional and interdisciplinary perspective, recognizing science as a collective and collaborative endeavor. In addition to research, interests include science communication and the production of rigorous and ethical academic texts, contributing to clear and accessible knowledge dissemination.
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Academic Background
Bachelor in Physics
University of São Paulo (USP)
2017 - 2021
Final work: An introduction to Ricci flow on surfaces
Advisor: Prof. Dr. Carlos Henrique Grossi Ferreira
University of São Paulo (USP)
Master’s degree in Mathematics
2021 - 2023
Final work: From statistical models to α-connections: an overview of information geometry
Advisor: Prof. Dr. Carlos Henrique Grossi Ferreira
Aix-Marseille Université
Institut Fresnel
PhD candidate in Physics
2024 - Present
Specialization: Physics and Material Sciences - Theoretical and Mathematical Physics
Project: Extrinsic statistics for complex covariance matrices and partially polarized light
Research
Activities
Instituto de Física de São Carlos - IFSC-USP
An introduction to Ricci flow on surfaces
2020 - 2021
This project aimed to study results of the Ricci curvature flow on surfaces, focusing on those with non-positive Euler characteristic and providing qualitative insights into this flow in three dimensions.
Advisor: Prof. Dr. Carlos Henrique Grossi Ferreira
Funded by Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
From statistical models to α-connections: an overview of information geometry
Instituto de Ciências Matemáticas e de Computação - ICMC-USP
2021 - 2023
This project consisted of a presentation on the geometry of information, organized as a compilation of fundamental concepts and results in the field, as well as applications in quantum information theory for the calculation of geometric quantum speed limits. Thus, statistical models were studied from Riemannian geometry. Furthermore, finite information geometry was explored, starting from an extrinsic approach and introducing the alpha-geometry. Additionally, dualistic manifolds and statistical manifolds were investigated, and through this intrinsic approach to information geometry, flat information geometry was studied.
Advisor: Prof. Dr. Carlos Henrique Grossi Ferreira
Funded by Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
Extrinsic statistics for complex covariance matrices and partially polarized light
Institut Fresnel
2024 - Present
This PhD research aims to develop new statistical tools for analyzing the polarization state of partially polarized light, represented by 2×2 complex Hermitian matrices. Traditional Euclidean methods are inadequate as they don't respect the transformations induced by Jones matrices modeling material interactions. To address this, the study will explore non-isometric embeddings into Euclidean spaces that align with these transformations. This approach will be applied to polarization and covariance matrices - including block-Toeplitz matrices from radar signal processing - to tackle problems involving random electromagnetic waves.
Advisor: Prof. Dr. Emmanuel Chevallier
Prof. Dr. André Nicole
Funded by AMU - Ministère Enseignement Supérieur
Professional
Experience
Instructor of the workshop “An Introduction to Information Geometry”
Instituto de Ciências Matemáticas e de Computação - ICMC-USP
2023
Workshop held during the Summer Program in Mathematics at ICMC-USP
The goal was to disseminate basic knowledge about information geometry among undergraduate students
The research produced introductory lecture notes on the topic and presents here
More
Informations
Awards and Prizes
Medal in the Brazilian Public School Mathematics Olympiad
2011
2012
2013
Medal in the Brazilian Public School Physics Olympiad
2014
2015
Honorable Mention in the Brazilian Public School Mathematics Olympiad
2014
2015
2016
Technical Skills
Python programming
LaTex
Inkscape
Languages
Portuguese - Native
English - Advanced
French - Basic