I grew up in Morelia, Mexico. I graduated in Philosophy from the Autonomous University of the State of Mexico and I obtained a PhD in Logic and Philosophy of Science from the University of Salamanca, under the supervision of José Ferreirós and María Manzano.

My research focuses on the changes involved in the development of the modern notion of number. I try to answer questions such as: How were new mathematical objects, such as negative, irrational and imaginary numbers, used? How did the notions of syntactic variables and functions of a real variable emerged from the core notion of variable quantity? What kind of pedagogical concerns and foundational reflections were involved in the process of reconception of the ideas of ‘quantity’ and ‘number’? I am particularly interested in the mathematical works of Bernard Bolzano and Germanic authors of the first half of the 19th century.

In August 2018, I started working on a project focused on Bolzano’s notion of real numbers as a Postdoctoral Fellow at the Faculty of Sciences at UNAM, under the supervision of Carmen Martínez Adame.

CV

Dissertation

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