Department of Mathematics
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I am a mathematician working in mathematical logic, more specifically in set theory and set theoretic model theory. I am currently a PhD student and a research associate ("wissenschaftlicher Mitarbeiter") in the Logic Group of the Department of Mathematics at the University of Hamburg. My supervisors are Yurii Khomskii and Benedikt Löwe. In my thesis project, I investigate relations of large cardinals to model theoretic properties of strong logics.
3. V. Gitman and J. Osinski. Large Cardinal Strengths of Upward LST numbers (Working Title). Paper in preparation, pre-publication and submission planned in 2024.
4. J. Osinski and C. Turner. On possible values of the Löwenheim-Skolem-Tarski Number of the Härtig Quantifier Logic (Working Title). Paper in preparation, pre-publication and submission in 2024.
5. J. Osinski and T. Wilson. Model Theory of class-sized logics (Working Title). Paper in preparation, pre-publication and submission planned in 2024.
2. Model Theoretic Characterizations of Weak Vopěnka's Principle, Set Theory in Hamburg, Amsterdam, and Cambridge (STiHAC) research seminar, online.
3. Model Theoretic Characterizations of Weak Vopěnka's Principle, CUNY Set Theory Seminar, CUNY GC, New York City, USA.
4. What is a large infinity?, talk for a general audience of non-mathematicians, Logic@TXST Speaker Series, Texas State University, San Marcos, USA.
5. A Hierarchy of Compactness Cardinals below Vopěnka's Principle, Colloquium Logicum, Conference for the 60th anniversary of the foundation of the DVMLG, 26-28 September 2022, Konstanz, Germany.
6. A Hierarchy of Compactness Cardinals below Vopěnka's Principle, Set Theory in Hamburg, Amsterdam, and Cambridge (STiHAC) research seminar, online.
7. Symbiosis and Compactness Properties, Set Theory in Hamburg, Amsterdam, and Cambridge (STiHAC) research seminar, online.
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Jonathan Osinski
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Department of Mathematics Research Group ML (Mathematische Logik und interdisziplinäre Anwendungen der Logik) Bundesstr. 55 (Geomatikum) 20146 Hamburg |
Room 411 phone: +49 40 42838-4065 email: jonathan.osinski (at) uni-hamburg.de |
I am a mathematician working in mathematical logic, more specifically in set theory and set theoretic model theory. I am currently a PhD student and a research associate ("wissenschaftlicher Mitarbeiter") in the Logic Group of the Department of Mathematics at the University of Hamburg. My supervisors are Yurii Khomskii and Benedikt Löwe. In my thesis project, I investigate relations of large cardinals to model theoretic properties of strong logics.
Publications
1. J. Osinski. Symbiosis and Compactness Properties. ILLC Master of Logic (MoL) Series MoL-2021-24.Publications in Preparation
2. W. Boney and J. Osinski. Model Theoretic Characterizations of Large Cardinals Rerevisited (Working Title). Paper in preparation, pre-publication and submission planned in 2024.3. V. Gitman and J. Osinski. Large Cardinal Strengths of Upward LST numbers (Working Title). Paper in preparation, pre-publication and submission planned in 2024.
4. J. Osinski and C. Turner. On possible values of the Löwenheim-Skolem-Tarski Number of the Härtig Quantifier Logic (Working Title). Paper in preparation, pre-publication and submission in 2024.
5. J. Osinski and T. Wilson. Model Theory of class-sized logics (Working Title). Paper in preparation, pre-publication and submission planned in 2024.
Talks
1. The Large Cardinal Strength of Upward LST Numbers, DMV Jahrestagung 2023, Meeting of the German Mathematical Association, Ilmenau, Germany.2. Model Theoretic Characterizations of Weak Vopěnka's Principle, Set Theory in Hamburg, Amsterdam, and Cambridge (STiHAC) research seminar, online.
3. Model Theoretic Characterizations of Weak Vopěnka's Principle, CUNY Set Theory Seminar, CUNY GC, New York City, USA.
4. What is a large infinity?, talk for a general audience of non-mathematicians, Logic@TXST Speaker Series, Texas State University, San Marcos, USA.
5. A Hierarchy of Compactness Cardinals below Vopěnka's Principle, Colloquium Logicum, Conference for the 60th anniversary of the foundation of the DVMLG, 26-28 September 2022, Konstanz, Germany.
6. A Hierarchy of Compactness Cardinals below Vopěnka's Principle, Set Theory in Hamburg, Amsterdam, and Cambridge (STiHAC) research seminar, online.
7. Symbiosis and Compactness Properties, Set Theory in Hamburg, Amsterdam, and Cambridge (STiHAC) research seminar, online.
Short Term Research Visits
| 2023: | CUNY GC. Host: Victoria Gitman. |
| 2023: | Miami University. Host: Trevor Wilson. |
| 2023: | Texas State University. Host: Will Boney. |
Education
| 2021: | M. Sc. in Logic, Universiteit van Amsterdam, Institute for Logic Language and Computation. |
| 2019: | B. Sc. in Mathematics, Ruprecht-Karls-Universität Heidelberg. |
| 2017: | B.A. in Philosophy (75%) and History (25%), Ruprecht-Karls-Universität Heidelberg. |
Teaching
At the University of Hamburg, I taught exercise sessions for the following lectures.| WiSe 2023/24: | Mathematik I für Studierende der Informatik |
| SoSe 2023: | Mathematische Logik und Mengenlehre |
| WiSe 2022/23: | Einführung in das mathematische Denken und Arbeiten |
| SoSe 2022: | Mathematische Logik und Mengenlehre |
| WiSe 2021/22: | Grundkonzepte der Geometrie |