IMPAN
Antoniego Abrahama 18
Sopot
Poland
81-825

Email: cturner at impan.pl
Phone: +447895106276

About me

I did my undergraduate degree in the University of Oxford, before moving straight to a PhD in set theory in the University of Bristol, under the supervision of Philip Welch. I submitted my thesis in the summer of 2022. I then held the position of research associate at the University of Bristol until 2023, when I became an assistant professor in the Polish Academy of Science (IMPAN).

I study set theory. Within that field, I have several different areas of interest. My thesis contained work on forcing axioms, inner model theory and Löwenheim Skolem Tarski numbers, and I have also dabbled in determinacy.

Papers

Forcing Axioms via Ground Model Interpretations, with Philipp Schlicht (Annals of Pure and Applied Logic, 2023)

Asymmetric Cut and Choose Games, with Peter Holy, Philipp Schlicht and Philip Welch (Bulletin of Symbolic Logic, 2022)

LST Numbers for $Q^{ec}$ and I style Quantifiers (Preprint)

Of Mice and Machetes with Philip Welch (Preprint)

Talks

Feb 2020: Good names and forcing axioms, Set Theory in the UK 5

Dec 2020: O Machete Mice, Set Theory in the UK 6

June 2021: Forcing axioms and name principles, Oxford Set Theory Seminar

Aug 2022: Forcing axioms and name principles, European Set Theory Conference

Sept 2022: LST Numbers for Regularity Quantifiers, PhDs in Logic XIII

Sept 2022: LST Numbers for Regularity Quantifiers, Set Theory in the UK 8

Oct 2022: Lowenheim-Skolem-Tarski numbers for Regularity Quantifiers (extended version), Barcelona set theory seminar

June 2023: Forcing Axioms via Ground Model Interpretations, Seminar of the Division of Real Functions, University of Gdansk

Feb 2024: LST Numbers for Regularity Quantifiers, Seventh Workshop on Generalised Baire Spaces

June 2024: Forcing axioms and name principles, Leeds set theory seminar

May 2025: Bukovsky-Dehornoy for Multiple Measurables, Set Theorey in the UK 16