About

Hi there!

I am a mathematician working in set theory, the area of Mathematical Logic preoccupied with the infinity and the independence phenomenon. Currently I am a Postdoctoral Fellow at the Harvard CMSA and a Lecturer at the Harvard Department of Mathematics.

I earnt 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 prestigious, highly-competitive, FPU-program in Spain. Upon graduation, my dissertation was awarded the UB Doctorate Extraordinary Award to the most outstanding thesis in Mathematics. Before joining Harvard in September 2022, I was a Postdoctoral Fellow at the Einstein Institute of Mathematics  under the mentoring of Prof. Menachem Magidor. At Harvard my mentor is Prof. W. Hugh Woodin.

My research interests in Set Theory include forcing, large cardinals, singular combinatorics and Woodin’s HOD Conjecture, among others. In addition, I am very much interested in other areas of pure mathematics such as, Functional Analysis, Infinite Module Theory and General Topology. 

During the AY 2024-2025 I will be the main instructor for Math 141a (Mathematical Logic I) and Math 145b (Set Theory II). If you are a student interested in taking any of these courses or in carrying out a research project in Set Theory please contact me at alejandropovedaruzafa at fas dot harvard dot edu!