Currently, I am a postdoctoral researcher at Instituto de Matemáticas (IMAG) at Universidad de Granada in Granada, Spain. I obtained my PhD in Mathematics in the Singular Group at Complutense University of Madrid under the supervision of María Alberich-Carramiñana and Alejandro Melle-Hernández . I have done a 1 month research stay at Centro de Investigación en Matemáticas (CIMAT) in Guanajuato, México, and a 2 and half months research stay at Technische Universität Kaiserslautern in Kaiserslautern, Germany. My main interests are about singularities of curves, using techniques of algebraic geometry, commutative algebra and topology and also numerical semigroups. I focus my study in two areas: analytic invariants of planar curves and morphisms and numerical semigroups and its combinatorics. Currently, my principal research line focuses on comprehensively exploring the geometry of curve singularities with a focus on understanding singularities through the interplay between their topological and algebraic properties.
Besides that, I am also interested in the dissemination of mathematics and in the history, philosophy and ethics of mathematics, as I think mathematics play a role to contribute to building a more open, diverse and tolerant society.
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