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I received my PhD in Mathematics from the Universidade Federal Fluminense, Brazil, and my Bsc and masters in Mathematics from the Universidade Federal do Espirito Santo, Brazil.
During my PhD, I was a visiting scholar at Northeastern University, Boston, under the guidance of Professor Terence Gaffney.
The main focus of my research is to study Equisingularity of sets and maps. Largely, Equisingularity is the study of the behavior of families of sets or maps with respect to an equivalence relation. The goal is to study this behaviour to understand the relations between the members of the family.
I have specialized to the case of Whitney Equisingularity of families of Symmetric determinantal singularities. This study reveals how to use the multiplicity of polar curves associated to a generic deformation of a singularity to control the Whitney equisingularity type of these curves. This project is part of a long term effort by several researchers to connect invariants of algebraic objects (rings, ideals and modules) associated with singularities of complex spaces to equisingularity conditions.
Symmetric Determinantal Singularities I: The Multiplicity of the Polar Curve (2020). Arxiv: https://arxiv.org/abs/2003.12543
Symmetric Determinantal Singularities II: Equisingularity and SEIDS (2021). Arxiv: https://arxiv.org/abs/2103.03195
Office location: LH3070
Languages spoken: English, Portuguese
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