About me

I am a researcher at the Department of Mathematics and Computer Science of the University of Barcelona and a Privatdozent at the Mathematical Institute of the University of Bonn.

My fields of research are Mathematical Logic and Set Theory. My research focuses on the theory of large cardinals, infinitary combinatorics, set-theoretic definability and applications of set theory in algebra.

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Recent activities

• Member of the Editorial Board of Mathematical Logic Quarterly.
• Organizers of the Section Mathematical Logic at the DMV Meeting 2023.
• Minisymposium on Large cardinals at the Joint Annual Conference of the German Mathematical Society and the Austrian Mathematical Society (28.-30. September 2021).

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Most Recent Publications

• (with Omer Ben-Neria) On Σ₁-definable closed unbounded sets.
• (with Joan Bagaria) Patterns of Structural Reflection in the large-cardinal hierarchy.
• (with Sandra Müller) Σ₁-definability at higher cardinals: Thin sets, almost disjoint families and long well-orders.
• (with Ioannis Souldatos) Non-absoluteness of Hjorth's cardinal characterization. Fundamenta Mathematicae, Volume 262, Issue 2, 105-128, 2023.
• (with Joan Bagaria) Huge reflection. Annals of Pure and Applied Logic, Volume 174, Issue 1, 32 pages, 2023.
• Structural reflection, shrewd cardinals and the size of the continuum. Journal of Mathematical Logic, Volume 22, Issue 2, 43 pages, 2022.


• Complete list of publications

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Recent Talks

• Definable clubs. Set Theory Seminar. Kobe, 31. July 2023.
• Structural properties of definable clubs. Sixth workshop on generalised Baire spaces. Vienna, 28. July 2023.
• Definable clubs. Descriptive set theory and combinatorics. Turin, 20. December 2022.
• Partition properties and definability. Algebra Seminar. TU Vienna, 11. November 2022.
• Weak compactness cardinals for abstract logics. RIMS Set Theory Workshop 2022. Kyoto, 25. October 2022.
• Large cardinals, strong logics and reflection principles. CUNY Set Theory Seminar. New York, 14. October 2022.


• More talks

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Supervision

Ana Njegomir (PhD Thesis: Small embeddings, forcing with side conditions, and large cardinal characterizations. Bonn, 2019).

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Funded research projects

• MSCA Project: SAIFIA (Strong Axioms of Infinity - Frameworks, Interactions and Applications)
• DFG-Project: Complexity and Definability at Higher Cardinals - Studies in Generalized Descriptive Set Theory (LU2020/1-1).

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Profiles

• MathSciNet
• Orchid
• Google Scholar

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Contact Information