Who am I?

I'll avoid to answer this daunting question and say what you are probably looking for:
I am an PhD student (2023 - 2026) at Université Paul Sabatier (UPS), under the supervision of Vincent Guedj, from São Gonçalo-RJ-Brazil. My main interest in mathematics revolve around Differential Geometry. More specifically, my current research focus on Hermitian Geometry, Canonical Metrics, Complex Monge-Ampère Equation and Pluripotential Theory.

To contact me about corrections/suggestions on my notes or pretty much anything else: guicerqg at gmail.com

Hermitian Calabi-Yau Theorem

My Master Thesis at Université Paul Sabatier (UPS), was about a Hermitian version of the Calabi-Yau Theorem, my advisor was Vincent Guedj.

IMAGE: First part of the image is the Complex Monge-Ampère Problem, in my Master Thesis, that comes up when one studies the Hermitian Calabi-Yau Problem. The second part is the classic image, taken from Wikipedia, of a 2D slice of a 6D Calabi–Yau quintic manifold for lack of a better one.

Geodesics of Finsler Metrics

My Undergraduate Thesis at University of São Paulo (USP), was about some results on Geodesics in Mechanics and Finsler Geometry with an introduction to Finsler Transnormal Foliations, my advisor was Marcos Alexandrino.

GIF: A non-closed Geodesic of a Randers Metric on the 2-Sphere with only two closed Geodesics, done by Marcos Alexandrino. [Constructed using Zermelo Deformation from the Euclidean Sphere. More details in Chapter 4 of my Undergraduate Thesis]