More about me

Hometown

Upper view of Palmeira dos Índios city, including the Goiti Christ, a kind of "mini Christ the Redeemer" statue.

This is the small town where I was born. However, I only resided there for a couple of days. During that time, my family adhered to a peculiar tradition: my uncle, Dr. Wilson Vieira Costa, who is an obstetrician, attended every childbirth. His clinic is situated in this small town, approximately 45km away from my parents’ house. Although I spent the majority of my life in Arapiraca, Alagoas, I naturally identify as an “Arapiraquense.” Depending on your definition of hometown, Arapiraca is my true one.

High School

  • January 2009 - December 2011

My high school education occurred in Arapiraca, my parents’ hometown, at Quintella Cavalcanti School (EQC). I had an excellent mathematics teacher, the kind-hearted Roberto da Silva. It was there that I learned to play the acoustic guitar, alongside my friend Daniel, and forged enduring friendships that endure to this day.

Some images from EQC.

Lic.

  • January 2012 - December 2015

The initial idea of my project was to study Lebesgue integral in advance, but while researching the story behind this integral and the general theory of integration, I encountered numerous notions of integration, which improved more and more our understanding of integration. This journey led me to explore the expansive universe of integration types and their chronological interrelations. In the final project, we incorporated extensive historical insights while developing the theory, tracing its evolution from Newton and Leibniz, through Cauchy and Riemann, to Lebesgue and Riesz, and culminating with Henstock, Kurzweil, MacShane, and others. Supervised by Ornan Philipe, one of the most exceptional educators I’ve encountered, my studies were conducted at the Federal University of Alagoas, Campus Arapiraca.

Download here my Licence monography (in Portuguese)

Some images of the campus where I studied and of "Aracity" :smile:.

M.Sc.

  • July 2016 - February 2018

During my master’s program, I had the fortunate opportunity to work with Daniel Pellegrino on the Bohnenblust-Hille inequality (among others). I had to learn to code in Mathematica in order to implement an algorithm designed to find the extreme points of the unitary ball on the space of multilinear forms acting on the Euclidean space. My master’s studies were conducted at the Mathematics Department of the University of Paraíba (DM-UFPB)

Download here my Masters dissertation (in Portuguese)

Some images of the DM-UFPB and the city of João Pessoa.

Ph.D.

  • June 2018 - May 2021

My thesis delves into the theory of Linear Dynamical Systems, focusing particularly on hypercyclicity and related concepts. Of particular interest were the algebras of hypercyclic vectors in a Fréchet sequence algebra. The adaptations of Baire criteria for vectors to the algebraic context gave us lots of material to work on, significantly advancing our comprehension of this subject.

I had the privilege of being advised by Frédéric Bayart during my thesis, conducted at the Blaise Pascal Mathematics Laboratory (LMBP) of Clermont Auvergne University, located in the city of Clermont-Ferrand.

Download here my thesis manuscript (in English/French)

Some images of the LMBP and the city of Clermont-Ferrand.