Hi there!

I am a pure mathematician working in set theory, the area of mathematical logic devoted to the study of infinity and the foundations of mathematics.
Currently I am a Postdoctoral Fellow at the Harvard Center of Mathematical Sciences and Applications (CMSA) and a Lecturer at Harvard Math. 

I got my Ph. D. from the University of Barcelona in November 2020 under the supervision of Prof. Joan Bagaria. My 4-years doctoral training was sponsored by the most prestigious and competitive fellowship in Spain — the FPU-Fellowship from the Spanish Ministry of Education. Upon graduation my PhD dissertation was awarded the UB Doctorate Extraordinary Prize to the most outstanding thesis in Mathematics. Before joining Harvard (November 2020 — August 2022) I was a Postdoctoral Researcher at the Einstein Institute of Mathematics of the Hebrew University under the mentoring of Prof. Menachem Magidor.

My research in set theory encompass forcing, large cardinals, singular combinatorics and Woodin’s HOD Conjecture. Other of my interests in pure mathematics include Functional Analysis, Infinite Module Theory and General Topology. 

In the last few years, I have also served in a number of leadership activities. These include the organization of the AMS-JMM Special Session «Model-theoretic and higher infinite methods in descriptive set theory and related areas» and the «Harvard CMSA/Tsinghua Math-Science Lecture» . I have also served as an organizer of the «Harvard CMSA Colloquium»  during the AY 2022-2023 and 2023-2024 (this latter as a lead organizer).

If you are a student interested in carry out a project in Set Theory feel free to reach out! You can find me at alejandro at cmsa dot fas dot harvard dot edu