graduation at Matemática from Universidade de São Paulo (2020). (Source: Lattes Curriculum)
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The aim of this work is to study the multi-local singularities of k-folding maps on plane curves and surfaces in Euclidean space and the related geometry. Our study will generalize the notion of Symmetrical Set of curves and surfaces. We also intend to study the bifurcations of local and multi-local singularities in families of k-folding maps parameterised by the Grassmanian of planes in …
The aim of this work is to study k-folding maps on curves in the Euclidean plane in an analogous way to our recent work in [arXiv:2102.06308v1] on surfaces in the Euclidean 3-space.
This project aims to introduce some important topics of Singularity Theory to complement the student's knowledge, using as a book the classic text: "Curves and Singularities", by J.W.Bruce and P.J.Giblin. In this project we will study discriminants, unfoldings and applications, as well as some of the theory needed to classify functions of various variables, consequences and examples. The …
The singularity theory allows a very rich study of the geometric properties of curves, families of curves and surfaces, which successfully completes the classic approach to differential geometry. The aim of this project is to introduce the student to the singularity theory, through the application of this theory to the study of the differential geometry of curves in Euclidean spaces. Othe…
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