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Mathematisches Institut
Albert-Ludwigs-Universität Freiburg
Ernst-Zermelo-Str. 1
79104 Freiburg
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Office: 304
Phone: + 49 (0) 761 203-5609
email: palacin(at)math.uni-freiburg.de
Current
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Assistant for Modelltheorie.
Vorlesung: Di. & Do. 12-14 Uhr, HS II, Albertstr. 23b.
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Assistant for Zahlen.
Universität Freiburg.
Past
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Finite Simple Groups.
Universität Freiburg, SoSe 2019.
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Assistant for Bewertete Körper.
Universität Freiburg, WS 2018/19.
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Assistant for Modelltheorie.
Universität Freiburg, WS 2018/19.
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Introduction to stability theory.
Model Theory Month in Münster, Universität Münster, 18.04.-20.05.16.
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Assistant for Profinite and pseudofinite groups.
Universität Münster, SoSe 2016.
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Assistant for Berechenbarkeitstheorie.
Universität Münster, WS 2015/16.
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Seminar Einführung in die Theorie der Gebäude.
Universität Münster, SoSe 2015.
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Assistant for Stabile Gruppen.
Universität Münster, SoSe 2015.
Preprints
- Centralizers in pseudo-finite groups, with Nadja Hempel.
Submitted (2017)
[arXiv]
Published papers
- On compactifications and product-free sets.
Journal of the London Mathematical Society (to appear)
[arXiv]
[DOI]
- The dp-rank of abelian groups, with Yatir Halevi.
Journal of Symbolic Logic 84 (2019), no. 3, 957-986.
[arXiv]
[DOI]
- Ample Pairs, with Enrique Casanovas and Amador Martín-Pizarro.
Fundamenta Mathematicae 247 (2019), 37-48.
[arXiv]
[DOI]
- On n-dependence, with Artem Chernikov and Kota Takeuchi.
Notre Dame Journal of Formal Logic 60 (2019), no. 2, 195-214.
[arXiv]
[DOI]
- A note on FC-nilpotency, with Nadja Hempel.
Journal of Algebra and Its Applications 17 (2018), no. 9, 6 pages.
[arXiv]
[DOI]
- On the class of flat stable theories, with Saharon Shelah.
Annals of Pure and Applied Logic 169 (2018), no. 8, 835-849.
[arXiv]
[DOI]
- Finite rank and pseudofinite groups.
Journal of Group Theory 21 (2018), no. 4, 583-591.
[arXiv]
[DOI]
- Superstable expansions of free abelian groups, with Rizos Sklinos.
Notre Dame Journal of Formal Logic 59 (2018), no. 2., 157-169.
[arXiv]
[DOI]
- Division rings with ranks, with Nadja Hempel.
Proceedings of the American Mathematical Society 146 (2018), no. 2, 803-817.
[arXiv]
[DOI]
- Generalized amalgamation and homogeneity.
Journal of Symbolic Logic 82 (2017), no. 4, 1409-1421.
[arXiv]
[DOI]
- On definable Galois groups and the strong canonical base property, with Anand Pillay.
Journal of Mathematical Logic 17 (2017), no. 1., 10 pages.
[arXiv]
[DOI]
- A Fitting theorem for simple theories, with Frank O. Wagner.
Bulletin of the London Mathematical Society 48 (2016), no. 3, 472-482.
[arXiv]
[DOI]
- Rigidity, internality and analysability, with Frank O. Wagner.
Fundamenta Mathematicae 224 (2014), no. 1, 53-65.
[arXiv]
[DOI]
- On the canonical base property, with Ehud Hrushovski and Anand Pillay.
Selecta Mathematica 19 (2013), no. 4, 865-877.
[arXiv]
[DOI]
- Ample thoughts, with Frank O. Wagner.
Journal of Symbolic Logic 78 (2013), no. 2, 489-510.
[arXiv]
[DOI]
- Elimination of hyperimaginaries and stable independence in simple CM-trivial theories, with Frank O. Wagner.
Notre Dame Journal of Formal Logic 54 (2013), no. 3-4, 541-551.
[arXiv]
[DOI]
- On omega-categorical simple theories.
Archive for Mathematical Logic 51 (2012), no. 7, 709-717.
[arXiv]
[DOI]
Textbook
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Lectures in Model Theory. Eds: Franziska Jahnke, Daniel Palacín and Katrin Tent.
Münster Lectures in Mathematics (MLM).
European Mathematical Society (EMS) Publishing House, 2018.
[DOI]
Lecture notes
- An introduction to stability theory.
Chapter in Lectures in Model Theory, pp. 1-27.
Münster Lectures in Mathematics (MLM).
European Mathematical Society (EMS) Publishing House, 2018.
[pdf]
[DOI]