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.
Recent activities
Selected Publications
- (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) Σ_{1}-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.
- Partition properties for simply definable colourings.
Israel Journal of Mathematics, Volume 236, Issue 2, pp. 841-898, 2020.
- (with Saharon Shelah) Free groups and automorphism groups of infinite structures.
Forum of Mathematics, Sigma, Volume 2, 18 pp., 2014.
Recent Preprints
Current Teaching
- Lecture course: Mathematical Logic and Set Theory II (Hamburg, Winter 24/25).
- Seminar: Measure and Category (Hamburg, Summer 24).
Recent Talks
Funded research projects
Supervision
Profiles
Contact Information