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About me

I am a Heisenberg fellow and Privatdozent at the University of Hamburg, where I am a member of the research group Mathematical Logic and Interdisciplinary Applications of Logic at the Department of Mathematics.

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

• Panelist of the Sixth European Set Theory Colloquium.
• Tutorial speaker at Young Set Theory 2025.
• Member of the Editorial Board of Zeitschrift für Mathematische Logik und Grundlagen der Mathematik.
• Gdansk Contemporary Set Theory Workshop: Structural Reflection and the HOD Conjecture
• Organizers of the Section “Mathematical Logic” at the DMV Meeting 2023.

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Selected Publications

• Weak compactness cardinals for strong logics and subtlety properties of the class of ordinals .
  Journal of the London Mathematical Society, Volume 112, Issue 1, 37 pp., 2025.
• (with Joan Bagaria) Patterns of Structural Reflection in the large-cardinal hierarchy.
  Transactions of the American Mathematical Society, Volume 377, Issue 5, 3397-3447, 2024.
• (with Sandra Müller) Σ₁-definability at higher cardinals: Thin sets, almost disjoint families and long well-orders.
  Forum of Mathematics, Sigma, Volume 11, 36 pp., 2023.
• Structural reflection, shrewd cardinals and the size of the continuum.
  Journal of Mathematical Logic, Volume 22, Issue 2, 43 pp., 2022.
• (with Saharon Shelah) Free groups and automorphism groups of infinite structures.
  Forum of Mathematics, Sigma, Volume 2, 18 pp., 2014.

Complete list of publications

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Recent Preprints

• (with Juan P. Aguilera, Joan Bagaria and Gabriel Goldberg) Large cardinals beyond HOD.
• (with Juan P. Aguilera and Joan Bagaria) Large cardinals, structural reflection, and the HOD conjecture.
• (with Peter Holy and Sandra Müller) Outward compactness.
• The complexity of non-stationary ideals.

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Current Teaching

• Seminar: Propositional logic (Hamburg, Summer 25)
• Lecture course: Mathematical Logic and Set Theory II (Hamburg, Winter 24/25).
• Seminar: Measure and Category (Hamburg, Summer 24).

• All teaching activities

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Recent Talks

• Very large cardinals. Young Set Theory 2025. TU Vienna, 08.-10. September 2025.
• Descriptive aspects of large cardinals beyond HOD. 8th Workshop on Generalized Descriptive Set Theory. Helsinki, 22. August 2025.
• Σ₁-definability at higher cardinals. Reverse Mathematics and Higher Computability Theory. Vienna, 30. June 2025.
• Large cardinals beyond HOD. Oberseminar Mengenlehre. Münster, 31. March 2025.

• More talks

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Funded research projects

• Heisenberg Project: Definability and singular cardinals
• MSCA Project: 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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Supervision

• Ana Njegomir (PhD Thesis: Small embeddings, forcing with side conditions, and large cardinal characterizations. Bonn, 2019).
• Anna Lenz (Hamburg, since 2025).

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Profiles

• MathSciNet
• Orchid
• Google Scholar

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Contact Information