PD Dr. Stefan Geschke

1. Homogene kompakte Räume (PDF), Master’s thesis, FU Berlin (1995)
2. On sigma-filtered Boolean algebras (PDF), PhD thesis, FU Berlin (2000)
3. Convex geometry, continuous Ramsey theory, and ideals generated by graphs of functions (PDF), a survey of the articles reviewed for my Habilitation, FU Berlin (2005)

1. On the weak Freese-Nation property of P(omega) (PDF), coauthors: Sakae Fuchino and Lajos Soukup, Archive for Mathematical Logic 40 (2001), no. 6, 425–435
2. On the weak Freese-Nation property of complete Boolean algebras (PDF), coauthors: Sakae Fuchino, Saharon Shelah, and Lajos Soukup, Annals of Pure and Applied Logic 110 (2001), no. 1–3, 80–105
3. On tightly kappa-filtered Boolean algebras (PDF), Algebra Universalis 47 (2002), 69–93
4. Convex decompositions in the plane and continuous pair colorings of the irrationals (PDF), coauthors: Menachem Kojman, Wieslaw Kubis, and Rene Schipperus, Israel J. Math. 131 (2002), 285–317
5. Convexity numbers of closed subsets in R^n (PDF), coauthor: Menachem Kojman, Proc. Am. Math. Soc. 130, No. 10 (2002), 2871–2881
6. Some notes concerning the homogeneity of Boolean algebras and Boolean spaces (PDF), coauthor: Saharon Shelah, Topology and its Applications 133 (2003), 241–253
7. Covering R^{n+1} by graphs of n-ary functions and long linear orderings of Turing degrees (PDF), coauthor: Uri Abraham, Proc. Am. Math. Soc. 132, No. 11 (2004), 3367–3377
8. Some combinatorial principles defined in terms of elementary submodels (PDF)(formerly “Remarks on a paper of Juhasz and Kunen”), coauthor: Sakae Fuchino, Fund. Math. 181 (2004), 233–255
9. A note on minimal dynamical systems (PDF), Acta Univ. Carol., Math. Phys. 45, No.2 (2004), 35–43
10. Continuous Ramsey theory on Polish spaces and covering the plane by functions (PDF), coauthors: Martin Goldstern, Menachem Kojman, Journal of Mathematical Logic, Vol. 4, No. 2 (2004), 109–145
11. More convexity numbers of closed sets in R^n (PDF), Proc. Am. Math. Soc. 133 (2005), 1307–1315
12. A dual open coloring axiom (PDF), Annals of Pure and Applied Logic 140 (2006), 40–51
13. The coinitiality of a compact space (PDF), Topology Proceedings 30 No. 1 (2006), 237–250
14. Injective and projective T-Boolean algebras (PDF), coauthors: Richard N. Ball and James N. Hagler, Journal of Pure and Applied Algebra, Volume 209, Issue 1 (2007), 1–36
15. Metric Baumgartner theorems and universality (PDF), coauthor: Menachem Kojman, Math. Res. Lett. 14 (2007), no. 2, 215–226. A false statement about universal separable linear orders is corrected in my note Separable linear orders and universality (PDF)
16. Functions for which all points are a local minimum or maximum (PDF), coauthors: Ehrhard Behrends, Tomasz Natkaniec, Real Analysis Exchange, Vol. 33(2) (2007/2008), 1–4
17. Potential continuity of colorings (PDF), Archive for Mathematical Logic 47 (2008), No. 6, 567–578
18. The number of openly generated Boolean algebras (PDF), coauthor: Saharon Shelah, Journal of Symbolic Logic 73 (2008), 151–164
19. Low distortion embeddings of infinite metric spaces (PDF), Ann. Pure Appl. Logic 157 (2009), no. 2–3, 148–160
20. An upper bound for the cellularity of the phase space of a minimal dynamical system (PDF), Topology Proc. 36 (2010), 393–398. This is an updated version in which a gap that was found by David Milovich has been filled.
21. The coinitialities of Efimov spaces (PDF), Set Theory and its Applications, Babinkostova et al., Editors, Contemporary Mathematics 533 (2011), 259–265
22. Weak Borel chromatic numbers (PDF), Mathematical Logic Quarterly, Volume 57, Issue 1 (2011), 5–13
23. Symmetrized induced Ramsey theorems (PDF), coauthor: Menachem Kojman, Graphs and Combinatorics, Volume 27, Issue 6 (2011), 851–864
24. Basis theorems for continuous n-colorings (PDF), coauthor: Stefanie Frick, Journal of Combinatorial Theory, Series A, Volume 118, Issue 4 (2011), 1334–1349
25. How to drive our families mad (PDF), coauthors: Sakae Fuchino, Osvaldo Guzman, Lajos Soukup, to appear
26. Clopen graphs (PDF), Fundamenta Mathematicae 220, No. 2 (2013), 155–189
27. 2–dimensional convexity numbers and P_4-free graphs (PDF), Canadian Mathematical Bulletin 57(2014), 61–71
28. Self-dual uniform matroids on infinite sets (PDF), coauthor: Nathan Bowler, Proc. Am. Math. Soc. 144, No. 2 (2016), 459–471
29. Minimal obstructions for normal spanning trees (PDF), coauthors: Nathan Bowler, Max Pitz, Fund. Math. 241 (2018), 245–263
30. The nonexistence of universal metric flows (PDF), Comment. Math. Univ. Carolinae, vol. 59, no. 4 (2018), pp. 487–493
31. Partitioning subgraphs of pro finite ordered graphs (PDF), coauthors: Stefanie Huber and Menachem Kojman, Combinatorica 39, No. 3 (2019), 659–678. This used to be “An induced Ramsey theorem for modular profinite graphs”
32. Scrambled Cantor sets (PDF), coauthors: Jan Grebík, Benjamin D. Miller, to appear in Proc. Am. Math. Soc.
33. Halin’s end degree conjecture (PDF), coauthors: Jan Kurkofka, Ruben Melcher, Max Pitz, to appear in Israel J. Math.

1. Applications of elementary submodels in general topology (PDF), in Foundations of the Formal Sciences I, Humboldt Universität zu Berlin, 7–9 May 1999, eds. Benedikt Löwe and Florian Rudolph, Synthese Volume 133 Nos. 1–2, October/November 2002, 31–41
2. On Sacks Forcing and the Sacks Property (PDF), coauthor: Sandra Quickert, Foundations of the Formal Sciences III (B. Löwe, B. Piwinger, T. Räsch eds.), Complexity in Mathematics and Computer Science, Papers of a Conference in Vienna, 21–24 September 2001, Kluwer Academic Publishers, Dordrecht 2004 [Trends in Logic]

1. Almost disjoint families on large underlying sets (PDF), coauthors: Sakae Fuchino, Lajos Soukup, RIMS Kokyuroku, No.1530 (2007), 5–16
2. Functions with many local extrema (PDF), RIMS Kokyuroku, No. 1619 (2008), 43–47
3. Almost disjoint and independent families (PDF), RIMS Kokyuroku, No. 1790, 1–9 (2012)
4. Choice and the hat game (PDF), coauthors: Robert Lubarsky and Mona Rahn, RIMS Kokuryoku Vol. 1949, 34–44 (2015)
5. The shift on P(omega)/fin (PDF), preprint

1. Analytic determinacy and sharps (PDF), Preprint Nr. A-05-2002, Department of Mathematics and Informatics, series A: Mathematics.
2. Incomplete metric spaces and Banach’s fixed point theorem (PDF), preprint. This article has been superceded by [M. Elekes, On a converse to Banach’s Fixed Point Theorem, Proc. Amer. Math. Soc. 137 (2009), no. 9, 3139–3146].
3. Negative induced Ramsey theorems (PDF)
4. Convex open sets in n-dimensional space (PDF)
5. Separable linear orders and universality (PDF)
6. The nonexistence of universal metric flows for countable groups (PDF). The main result of this paper follows from the results in [Glasner, Eli; Tsankov, Todor; Weiss, Benjamin; Zucker, Andy, Bernoulli disjointness. Duke Math. J. 170, No. 4, 615-651 (2021)].

1. Von Pascal über Euler bis Fermat (PDF). An article by Ludek Valenta in German about discoveries in Pascal's triangle

Mathematics I for students of Informatics (Discrete Mathematics)

• German-language lecture
• Thu, 10 am–12 pm and Fri, 4–6 pm
• Link to course in STiNE

Mathematics I for students of Informatics (Discrete Mathematics)

• Exercise class in 14 groups
• Dates:
  
  • Thu, 2–4 pm
  • Fri, 10am–12 pm
  • Fri, 12–2 pm
  • Fri, 2–4 pm
• Link to course in STiNE

Mathematics II for students of Informatics (Analysis and Linear Algebra)

• Lecture (online): Thu 12:15–1:45 pm and Mon 8:15–9:45 am
• Exercise class: Thu 2:15–3:45 pm
• Links courses in STiNE:
  • Lecture
  • Exercise class
  • Tutorial

Mathematics I for students of Informatics (Discrete Mathematics)

Links to course in STiNE:

• Lecture
• Exercise class
• Tutorial

Basic Linear Algebra and Analytical Geometry

• German title: “Grundbildung Mathematik, lineare Algebra und analytische Geometrie”
• Lecture
• Link to course on Moodle

Mathematics II for students of Informatics (Analysis and Linear Algebra)

• German title: “Mathematik II für Studierende der Informatik (lineare Algebra und Analysis)”
• Lecture
• Link to course on Moodle

Basic Mathematics

• German title: “Grundbildung Mathematik”
• Lecture
• Lecture notes (PDF, only available in German) by Hubert Kiechle

Mathematics I for students of Informatics (Analysis and Linear Algebra)

• German title: “Mathematik I für Studierende der Informatik (Diskrete Mathematik)”
• Lecture

Topological Dynamics

Lecture notes (PDF)

Mathematics II for Computer Science (Analysis and Linear Algebra)

Lecture notes (PDF, only available in German)

Mathematics I for Computer Science (Discrete Mathematics)

Lecture notes (PDF, only available in German)

1. Model Theory (PDF), Winter Semester 2012/13, University of Bonn
2. Models of Set Theory (PDF), Summer Semester 2011, University of Bonn
3. Einführung in die Mengenlehre (PDF, only available in German) / Introduction to Set Theory, Winter Semester 2010/11, University of Bonn
4. Einführung in die Logik und Modelltheorie (PDF, only available in German) / Introduction to Logic and Model Theory, Summer Semester 2010, University of Bonn
5. Infinite Ramsey Theory (PDF), Summer Semester 2009, University of Bonn
6. Modelle der Mengenlehre (PDF, only available in German), Summer Semester 2005, Freie Universität Berlin
7. Endliche Modelltheorie (PDF, only available in German) / Finite Model Theory, Winter Semester 2003/04, Freie Universität Berlin

1. Topological Dynamics (PDF), Summer Semester 2019, Universität Hamburg
2. Mathematik II für Informatiker (PDF, only available in German), Mathematics II for Computer Science (Analysis and Linear Algebra), Sommersemester 2018, Universität Hamburg
3. Mathematik I für Informatiker (PDF, only available in German), Mathematics I for Computer Science (Discrete Mathematics), Winter Semester 2017/18, Universität Hamburg
4. Mathematik II für Physiker und Physikerinnen (PDF, only available in German), Mathematics II for Physicists, Summer Semester 2012, University of Bonn
5. Analysis III: Maß- und Integrationstheorie (PDF, only available in German), Measure and Integration, third part of a calculus course, Summer Semester 2006, Freie Universität Berlin
6. Algebra (PDF, only available in German), Summer Semester 2002, Freie Universität Berlin