Undergraduate & Master's
I was an undergraduate at the Mathematics and Statistics Institute of the University of São Paulo (IMEUSP). In June 2024 I concluded my Master's at the M2 Research & Innovation program from the Institut of Mathématiques de Toulouse (IMT), France. During my Master's I was a MINT Fellow.
Written Work
 Mapping Class Groups & their Representations

My M2 Mémoire (Master's Thesis) on lowdimensional representations of the mapping class groups of surfaces (PDF)
 Semisimple Lie Algebras & their Representations

Expanded (unfinished) version of my undergraduate thesis on the representation theory of semisimple Lie algebras, with an emphasis in Olivier Mathieu's classification of simple weight modules (PDF)
 Global Analysis & the Banach Manifold of Class ${H}^{1}$ Curves

Undergraduate Riemannian Geometry course project on the manifold ${H}^{1}(I,M)$ of class ${H}^{1}$ curves on a Riemannian manifold $M$ and its applications to the geodesics problem. (PDF)
Past talks
 Mapping Class Groups & their Representations

M2 Soutenance, July 2024
Master's Thesis defense on lowdimensional representations of the mapping class groups of surfaces (Slides)
 Tate Modules

M2RI Elliptic Curves Reading Seminar, February 2024
M2RI Elliptic Curves Reading Seminar presentation on Tate modules and their applications to the study of isogeny groups
 Cobordism Groups & the Pontryagin Construction

MINT inverted class at IMT, November 2023
MINT inverted class course project on a proof of the fact that the Pontryagin construction yields an isomorphism between framed cobordism groups and higher homotopy groups of spheres (Slides)
 The PBW Theorem

Vertex Algebras course project at IMPA, February 2023
Vertex Algebras course project on Braverman's and Gaitsgory's proof of the PBW theorem for quadratic Koszul algebras (Slides)
 InfiniteDimensional Geometry & Ideal Fluids

Geometry & Mathematical Physics Workshop, December 2022
A seminar on the Euler equation for ideal incompressible fluids, Fréchet manifolds and the geometry of the group of volumepreserving diffeomorphisms. (Slides) (Video)
 Irreducible Weight Modules (Portuguese)
 Lie's Third Theorem (Portuguese)

Algebraic Topology course project, November 2022
A seminar on Duistermaat's proof of Lie's third fundamental theorem (the one later generalized by Marius and Ruy on their classification of integrable Lie algebroids)
 Representations of Lie Groups and Algebras (Portuguese)

30th SIICUSP, October 2022 (Slides)
 How to prove theorems in a computer? (Portuguese)

S4 Seminar, October 2022 (Slides)
 Lie Theory or: why study Lie algebras? (Portuguese)
CFuD Seminar, April 2022
 Who are the padic integers anyway? (Portuguese)
 How to do Mathematics in a Computer? (Portuguese)
 Representations of Compact Groups: What? Why? How? (Portuguese)

Study seminar RTAG, July 2021 (Slides)
 When is something equal to something else? (Portuguese)

S4 Seminar, April 2021 (Slides)
Lecture on the idea of isomorphisms and invariants throughout mathematics
 How to do algebra with analysis? (Portuguese)

Shokugeki Seminar, March 2021 (Slides)
On Pontryagin duality
 The Monster Group (Portuguese)

Shokugeki Seminar, February 2021 (Slides)