Holds a Bachelor's degree in Mathematics Education from the Federal University of Sergipe (2018), where she participated in a Scientific Initiation program, conducting research in the areas of Celestial Mechanics, Algebra, and Analysis. Completed a Master's degree in Mathematics at the Federal University of Minas Gerais, focusing on research in Dynamical Systems. Earned a Ph.D. in Mathematics Applied from the University of São Paulo (USP), with a sandwich period as a Visiting Graduate Researcher at the University of California, Los Angeles (UCLA). During her doctoral studies, she conducted research in the fields of Geometry and Dynamical Systems. (Source: Lattes Curriculum)
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The present project proposes to study the relationship between the dynamics of a new class of surface homeomorphisms, the measurable pseudo-Anosov transformations introduced in [BdCH], and the geometric and smooth structures induced by them on the underlying surfaces. (AU)
In [BdCH21], a continuous family of sphere homeomorphisms was constructed which is a mild quotient of the inverse limit of the tent family of interval endomorphisms. This family has the unimodal generalized pseudo-Anosov (ugpA) maps as a countable, dense subfamily, whose spheres of definition have well defined (and much studied) geometric structures. The purpose of the project is to prove…
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