Hannes Jakob

I am a postdoctoral researcher in set theory. Inside set theory, I am most interested in large cardinal axioms and consistency results obtained by forcing from large cardinal assumptions. After receiving my PhD from the University of Freiburg (Advisor: Heike Mildenberger), I am now a Visiting Assistant Professor at the University of North Texas (Mentor: John Krueger). For more information, you can look at my CV or my PhD Thesis.

Papers and Preprints

• Disjoint Stationary Sequences on an Interval of Cardinals, Fundamenta Mathematicae, 269 (3): 261-283, 2025. [pdf/arxiv]

• Slender Trees and the Approximation Property, Archive for Mathematical Logic, accepted. [pdf/arxiv]

• (with Maxwell Levine) Distinguishing Internally Club and Approachable on an Infinite Interval, Bulletin of the London Mathematical Society, 57 (4): 1026-1039, 2024. [pdf/journal]

• Cascading Variants of Internal Approachability, submitted. [pdf/arxiv]

• On Friedman's Property, submitted. [pdf/arxiv]

• (with Maxwell Levine) Failure of Approachability at the Successor of the first Singular for any Cofinality, submitted. [pdf/arxiv]

• Total Failure of Approachability at Successors of Singulars of Countable Cofinality, submitted. [pdf/arxiv]

• (with Alejandro Poveda) On Shelah's Approachability Ideal, submitted. [pdf/arxiv]