I am a mathematician working in set theory, the area of Mathematical Logic devoted to the study of the infinite and truth in mathematics. Since September 2025 I am an Assistant Professor at the Department of Mathematics and Computer Science of the University of Barcelona and a fellow of the Alexander von Humboldt Foundation.

Prior to this I held postdoctoral positions at the Harvard Center of Mathematical Sciences and Applications (under Prof. W. Hugh Woodin) and at the Einstein Institute of Mathematics of the Hebrew University (under Prof. M. Magidor). I also held a Lecturer position at the Harvard Department of Mathematics – in this capacity I served as the main instructor for Math 141a (Mathematical Logic I) and Math 145b (Set Theory II).

During my tenure at Harvard I served as a Committee Member of the Harvard Math Community and as a head organizer of the Harvard CMSA colloquium. I was also an organizer of the Harvard Logic Colloquium 

My research interests in Set Theory include forcing, large cardinals, singular combinatorics and Woodin’s HOD Conjecture, among others. In addition, I count works in Functional Analysis, Infinite Module Theory and General Topology. 

If you are a student interested in working on a research project in Set Theory please contact me at alejandropovedaruzafa at fas dot harvard dot edu!