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.
2. Jonathan Osinski and Alejandro Poveda. Compactness characterisations of large cardinals with strong Henkin models. Submitted. Preprint.
3. Victoria Gitman and Jonathan Osinski. Upward Löwenheim-Skolem-Tarski numbers for abstract logics. Submitted. Preprint.
2. Upward LST Numbers and Large Cardinals, Harvard University Set Theory Seminar, Harvard University, Cambridge, USA, April 29, 2024.
3. Model Theory of class-sized Logics, CUNY Set Theory Seminar, CUNY GC, online, March 08, 2024.
4. New Results on Upward LST numbers, Set Theory in Hamburg and Cambridge (STiHaC) research seminar, online, November 03, 2023.
5. The Large Cardinal Strength of Upward LST Numbers, DMV Jahrestagung 2023, Meeting of the German Mathematical Association, Ilmenau, Germany, September 27, 2023.
6. Model Theoretic Characterizations of Weak Vopěnka's Principle, Set Theory in Hamburg, Amsterdam, and Cambridge (STiHAC) research seminar, online, May 05, 2023.
7. Model Theoretic Characterizations of Weak Vopěnka's Principle, CUNY Set Theory Seminar, CUNY GC, New York City, USA, March 17, 2023.
8. What is a large infinity?, talk for a general audience of non-mathematicians, Logic@TXST Speaker Series, Texas State University, San Marcos, USA, February 22, 2023.
9. A Hierarchy of Compactness Cardinals below Vopěnka's Principle, Colloquium Logicum, Conference for the 60th anniversary of the foundation of the DVMLG, Konstanz, Germany, September 26, 2022.
10. A Hierarchy of Compactness Cardinals below Vopěnka's Principle, Set Theory in Hamburg, Amsterdam, and Cambridge (STiHAC) research seminar, online, March 18, 2022.
11. Symbiosis and Compactness Properties, Set Theory in Hamburg, Amsterdam, and Cambridge (STiHAC) research seminar, online, July 01, 2021.
Last update: November 8, 2024.
(this way to the possibly more complete Homepage in the old layout)
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.
Preprints
1. Gabriel Goldberg, Jonathan Osinski, and Alejandro Poveda. On the optimality of the HOD dichotomy. Submitted. Preprint.2. Jonathan Osinski and Alejandro Poveda. Compactness characterisations of large cardinals with strong Henkin models. Submitted. Preprint.
3. Victoria Gitman and Jonathan Osinski. Upward Löwenheim-Skolem-Tarski numbers for abstract logics. Submitted. Preprint.
Publications
4. J. Osinski. Symbiosis and Compactness Properties. ILLC Master of Logic (MoL) Series MoL-2021-24.Talks
1. Model Theory and Vopěnka's Principle, Masaryk University Algebra Seminar, Masaryk University, Brno, Czechia, June 12, 2024.2. Upward LST Numbers and Large Cardinals, Harvard University Set Theory Seminar, Harvard University, Cambridge, USA, April 29, 2024.
3. Model Theory of class-sized Logics, CUNY Set Theory Seminar, CUNY GC, online, March 08, 2024.
4. New Results on Upward LST numbers, Set Theory in Hamburg and Cambridge (STiHaC) research seminar, online, November 03, 2023.
5. The Large Cardinal Strength of Upward LST Numbers, DMV Jahrestagung 2023, Meeting of the German Mathematical Association, Ilmenau, Germany, September 27, 2023.
6. Model Theoretic Characterizations of Weak Vopěnka's Principle, Set Theory in Hamburg, Amsterdam, and Cambridge (STiHAC) research seminar, online, May 05, 2023.
7. Model Theoretic Characterizations of Weak Vopěnka's Principle, CUNY Set Theory Seminar, CUNY GC, New York City, USA, March 17, 2023.
8. What is a large infinity?, talk for a general audience of non-mathematicians, Logic@TXST Speaker Series, Texas State University, San Marcos, USA, February 22, 2023.
9. A Hierarchy of Compactness Cardinals below Vopěnka's Principle, Colloquium Logicum, Conference for the 60th anniversary of the foundation of the DVMLG, Konstanz, Germany, September 26, 2022.
10. A Hierarchy of Compactness Cardinals below Vopěnka's Principle, Set Theory in Hamburg, Amsterdam, and Cambridge (STiHAC) research seminar, online, March 18, 2022.
11. Symbiosis and Compactness Properties, Set Theory in Hamburg, Amsterdam, and Cambridge (STiHAC) research seminar, online, July 01, 2021.
Short Term Research Visits
| 2024: | Masaryk University. Hosts: Michael Lieberman and Jiří Rosický. |
| 2024: | Harvard University. Host: Alejandro Poveda. |
| 2023: | City University of New York Graduate Center. 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 2024/25: | Mathematik I für Studierende der Informatik |
| 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 |
Last update: November 8, 2024.