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.
Recent activities
Most Recent Publications
- (with Omer Ben-Neria) On Σ_{1}-definable closed unbounded sets.
- (with Joan Bagaria) Patterns of Structural Reflection in the large-cardinal hierarchy.
- (with Sandra Müller) Σ_{1}-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
Recent Talks
Supervision
Funded research projects
Profiles
Contact Information
philipp.luecke@ub.edu
Institut de Matemàtica
Universitat de Barcelona
Gran via de les Corts Catalanes 585
08007 Barcelona
Spain