My research interests focus on the issue of the (mathematical and philosophical) infinite. In particular, I'm interested in set theory, its foundations, and philosophy.
Over the years, I have researched the following topics: the Continuum Hypothesis (history and philosophy of), the new set-theoretic axioms, the set-theoretic multiverse, the problem of justification, mathematical Platonism, abstraction principles, logical fallacies.
I have also done research (and I'm still deeply interested) in ancient philosophy (esp., Platonism and the platonic tradition in the Middle Ages).
Ongoing Projects:
- ‘Mathematical and Philosophical Aspects of a Multiversist Foundation of Set Theory’, funded by the Beatriu de Pinós Fellowship [Marie-Skłodowska Curie Actions] n. 00192 BP2018. (01/02/2020-30/06/2023), Department of Mathematics and Computer Science, University of Barcelona (supervisor: Prof Joan Bagaria). Role: Principal Investigator.
Participation In Other Projects:
- ‘Lógica Matemática’, Programa Estatal de Fomento de la Investigación Científica y Técnica de Excelencia Number: MTM-PID2020-116773GB-I00. PI: Prof. Enrique Casanovas and Prof. Joan Bagaria, University of Barcelona (01/09/2021-31/08/2024). Role: Associate Researcher.
Past Projects:
- ‘The Hyperuniverse Programme‘, funded by the FWF Stand-Alone Grant (Fonds zur Förderung der wissenschaftlichen Forschung) n. P28420. PI: Prof. Sy-David Friedman, Kurt Gödel Research Center for Mathematical Logic, University of Vienna (01/04/2016-31/03/2021). Role: Collaborator.
- ‘University of Tartu’s 'ASTRA project PER ASPERA', funded by the European Regional Development Fund, ID: 2014-2020.4.-01.16-0027. PI: Prof. Bruno Mölder, Department of Philosophy, University of Tartu (01/01/2018-31/08/2022). Role: Post-Doctoral Fellow.
- ‘The Hyperuniverse. The Laboratory of the Infinite’, funded by the John Templeton Foundation Grant ID #35216. PI: Prof. Sy-David Friedman (01/01/2013-30/09/2015), Kurt Gödel Research Center for Mathematical Logic, University of Vienna. Role: Post-Doctoral Fellow.