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| 1995 | Diploma in Mathematics, FU Berlin | | 1995--2001 | Assistant, FU Berlin | | 1998--1999 | Assistant, Kitami Institute of Technology, Japan | | 2000--2001 | Postdoctoral Fellow, Ben Gurion, Israel | | 2000--2006 | Assistant Professor, FU Berlin | | 2006--2008 | Assistant Professor (tenure track), Boise State University, Idaho | | 2009-- | Professor (W2, Bonn Junior Fellow), Bonn University |
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My research is centered around applications of combinatorial set theory and forcing to geometry, topology, algebra and analysis. However, I am also interested in finite combinatorics and complexity.
More specifically, I am working on questions concerning the classification of definable graphs on Polish spaces and on problems about automorphisms of the Boolean algebra  and the Calkin algebra.
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[ 1] S. Geschke, Babinkostova et al. Editors
The coinitialities of Efimov spaces, Set Theory and its Applications
Contemporary Mathematics , 533: : 259--265
2011[ 2] S. Geschke
Weak Borel chromatic numbers
Mathematical Logic Quarterly , 57: : 5--13
2011[ 3] S. Geschke, S. Fuchino, L. Soukup
How to drive our families mad
Archive for Mathematical Logic
2011[ 4] S. Frick , S. Geschke
Basis theorems for continuous n-colorings
Journal of Combinatorial Theory A , 118: : 1334--1349
2011[ 5] S. Geschke, M. Kojman
Symmetrized induced Ramsey theorems
Graphs and Combinatorics
2011[ 6] Stefan Geschke
Low-distortion embeddings of infinite metric spaces into the real line
Ann. Pure Appl. Logic , 157: (2-3): 148--160
2009
ISSN: 0168-0072
DOI: 10.1016/j.apal.2008.09.014[ 10] Stefan Geschke, Martin Goldstern, Menachem Kojman
Continuous Ramsey theory on Polish spaces and covering the plane by functions
J. Math. Log. , 4: (2): 109--145
2004
ISSN: 0219-0613
DOI: 10.1142/S0219061304000334[ 12] Stefan Geschke, Menachem Kojman
Metric Baumgartner theorems and universality
Math. Res. Lett. , 14: (2): 215--226
2007
ISSN: 1073-2780 |
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| 2002 | Best Teaching in Mathematics, FU Berlin | | 2006 | Finalist Kurt Goedel Research Fellowship, postdoc category |
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| 2004 | Cardinal Arithmetic at Work, Jerusalem | | 2007 | ASL Annual Meeting in Gainesville, Florida | | 2010 | Logic Colloquium, Section Set Theory, Paris |
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Set Theory and its Applications, Contemporary Mathematics 533 (2011)
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PI of the DFG project "Continuous Ramsey theory in higher dimensions". NSF standard grant for "Filtrations of Boolean algebras and related structures". PI in the GIF project "New problems in set theory and Boolean algebra".
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Research Area L
Some consistent counterexamples to natural conjectures about the structure of the class of infinite compact spaces have been constructed [1].
It was shown that every closed graph on a Polish space
either has a perfect clique or in a forcing extension of the set-theoretic universe, the weak Borel chromatic number of the graph is small [2]. This dichotomy fails for graphs of higher complexity.
Together with coauthors a cardinal invariant that allows a closer analysis of almost disjoint families on the natural numbers has been studied and models of set theory with different behaviours of this new cardinal invariant were constructed [3].
Together with a coauthor, methods from finite and countably infinite Ramsey theory have been used to obtain a dichotomy for the class of continuous  -colorings on Polish spaces, showing that a coloring is complicated in terms of its socalled homogeneity number if and only if it contains a copy of one of finitely many complicated colorings [4].
Geschke and a coauthor proved Ramsey theoretic results in the finite and countably infinite that assert the existence of large homogeneous subgraphs whose automorphisms lift to automorphisms of the colored graph [5], starting the field of symmetric Ramsey theory. |
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- Bachelor theses: 4, currently 1
- Master theses: 3, currently 2
- Diplom theses: 11, currently 5
- PhD theses: 2, currently 1
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