Brief description ot the activity
Since May 2021 I am an Associate Professor at Universidad Politécnica de Madrid. Before, I was an Assistant Professor in the same university from September 2018.
Before, I was a Juan de la Cierva postdoctoral researcher (Incorporation program) at the Mathematics Department of Universidad Autónoma de Madrid. There, I started a research on nonlocal variational problems arising in peridynamics, the part of continuous mechanics that studies deformations in which fractures (of several type) can occur.
From October 2014 to January 2017 I was a postdoctoral researcher at the Centre for Social Analysis and Mathematics (Paris), where, under the supervision of Henri Berestycki, I worked on reaction-diffusion systems with heterogeneities arising in adjacent domains, possibly with different spatial dimensions. This work has been done in the framework of a project that was selected by the Paris Institute of Complex Systems and the ERC Project “Reaction Diffusion Equations, Propagations and Modelling”. It is related to the study of propagation in environments in which a biological species moves faster in some subdomains. I investigated several configurations of this general situation, showing some new phenomena related to the qualitative behavior of the asymptotic speed of propagation.
Regarding my academic formation, I got my Ph.D. degree in Mathematical Research at the Univ. Complutense de Madrid (UCM) in June 2013, under the supervision of Julián López Gómez and Marcela Molina Meyer, and supported by a FPI grant of the Ministry of Science and Innovation. In the thesis I proved a completely new high multiplicity result for positive stationary solutions of a logistic equation with a sign-changing weight, which models environments in which the individuals both compete and cooperate. The techniques that I have used combine PDEs and ODEs tools, and I have also improved some numerical methods to get complex bifurcation diagrams.
I did Bachelor and Master studies in Mathematics at the University of Udine (Italy) where I was supported by a 5-year grant of excellence of the same University, whose benefits were yearly renewed upon doing additional exams and satisfying other academic requisites. I also did a second Master in Mathematical Research at the UCM.
I have authored 13 publications in international journals (9 of which in Q1), 1 book chapter, 2 refereed conference proceedings and 1 preprint. I am the unique author of 4 of such works.
I have given 44 seminars in workshops and conferences at national and international level (France, Italy, USA, China, Taiwan).
I have taught undergraduate courses (theory and exercises) at the UPM, UAM and Paris Dauphine University and given exercises classes at the UCM. I have also taught two hours in a Master course at Universidad Politécnica de Madrid.
I have supervised 2 final degree projects, and co-supervised a final master project. I have also supervised a student with a collaboration grant.
I have been referee for several international journals.
I have organized 5 cycles of seminars and 3 workshops (2 international ones, 1 national one in Italy). I have organized and participated in activities for spreading mathematics and science to wide publics.
To sum up, I work on three different research lines, one developed during my Ph.D. and the others later, producing research works alone or in collaboration with Spanish and international researchers. Currently, I am further continuing the research in such lines, autonomously or in collaboration with international researches.B.1. Breve descripción del Trabajo de Fin de Grado (TFG) y puntuación obtenida B.2. Breve descripción del Trabajo de Fin de Máster (TFM) y puntuación obtenida
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