About me

I  hold a degree in Mathematics and a degree in Physics from the Complutense University of Madrid. I have been always very interested in the connections between topology and geometry: my final dissertation for the degree in Mathematics was about singularities in complex hypersurfaces and was supervised by María Pe Pereira. In particular, I studied a construction due to Milnor that describes a locally trivial fibration surrounding such singularities. You can consult the complete text for that work here (in Spanish).

I continued that project the following year during my MSc in Advanced Mathematics at the Complutense University. I was awarded a research Collaboration Grant from the University to carry out such research. My final thesis for these graduate studies, again supervised by María Pe Pereira, concerns the monodromy of isolated singularities in complex hypersurfaces. 

I am in the process of completing a PhD programme (2021 - 2025)  at the London School of Geometry and Number Theory. At the LSGNT we have a largely taught first year, during which we have to fulfil two mini-projects of research. 

• My first mini-project was a joint work with Nick Manrique in Understanding the proof of Lawson's Conjecture, under the supervision of Marco Guaraco and Costante Bellettini. Lawson's Conjecture was a very renowned conjecture in the field of minimal surfaces, due to H. Blaine Lawson. It states that the only surface with genus 1 minimally embedded in the three-dimensional sphere is the so-called Clifford torus. This fact was conjectured by Lawson in 1970, but it was not until 2012 that it was proved by Simon Brendle. In this work, we reviewed this proof and the theory of minimum principles of two-point functions, which plays a crucial role in it. 

• My second mini-project was under the supervision of Anthea Monod and consisted on harnessing the state-of-the-art for persistent homology computation by studying the problem of determining topological prevalence and cycle matching using a cohomological approach, which increases their feasibility and applicability to a wider variety of applications and contexts. This paper is the final result of such project.

From years two to four of my PhD, I will be based at Imperial College working under the supervision of Anthea Monod. I aim to continue my studies on the interface between topology and geometry but also learn how the tools from these areas can be applied to complex data problems. 

Outside of maths I love cooking  (specially baking and for my friends and family), practising yoga and music in all forms. I have a podcast (in Spanish) with a friend where we discuss whatever comes to our mind related to music, TV shows, awards, movies, books, literally everything. I have always loved singing but mostly this happened only in karaokes and in the shower, so I decided it was time to do something about it and I joined the Imperial Choir on 2022 (check out for our coming concerts in London!!). I've been so enthusiastic about choir that somehow I will be a member of its Committe as a Tour manager in 2023/2024.