

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, ID, USA  2009  2013  Professor (W2, Bonn Junior Fellow), University of Bonn 


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.


DFG project “Continuous Ramsey theory in higher dimensions”
Principal Investigator
NSF standard grant for “Filtrations of Boolean algebras and related structures”
GIF project “New problems in set theory and Boolean algebra”
Principal Investigator


Former 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 settheoretic 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 so called 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.  Research Area KL



[ 3] S. Geschke, S. Fuchino, L. Soukup
How to drive our families mad Archive for Mathematical Logic 2011[6] Stefan Geschke
Lowdistortion embeddings of infinite metric spaces into the real line Ann. Pure Appl. Logic , 157: (23): 148160 2009 [ 10] Stefan Geschke, Martin Goldstern, Menachem Kojman
Continuous Ramsey theory on Polish spaces and covering the plane by functions J. Math. Log. , 4: (2): 109145 2004[ 11] Stefan Geschke, Saharon Shelah
The number of openly generated Boolean algebras J. Symbolic Logic , 73: (1): 151164 2008[ 12] Stefan Geschke, Menachem Kojman
Metric Baumgartner theorems and universality Math. Res. Lett. , 14: (2): 215226 2007




• Set Theory and its Applications, Contemporary Mathematics 533 (2011)


2002  Best Teaching in Mathematics, FU Berlin  2006  Finalist Kurt Goedel Research Fellowship, Postdoc Category 


2004  Cardinal Arithmetic at Work, Jerusalem, Israel  2007  ASL Annual Meeting, Gainesville, FL, USA  2010  Logic Colloquium, Section Set Theory, Paris, France 


Stefanie Frick (2008): “Continuous Ramsey Theory in Higher Dimensions”


 Master theses: 3, currently 2
 Diplom theses: 11, currently 5
 PhD theses: 2, currently 1


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