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| 1979 | Diploma, University of Heidelberg | | 1980 | Master-of-Science, Oxford University, England, UK | | 1982 - 1984 | Graduate studies, University of Heidelberg | | 1984 | PhD, University of Heidelberg | | 1984 - 1985 | Postdoc, University of Göttingen | | 1985 - 1991 | Assistant Professor (C1), University of Göttingen | | 1990 | Habilitation, University of Göttingen | | 1991 - 1992 | Visiting Assistant Professor, Johns-Hopkins-University, Baltimore, MD, USA | | 1992 - 1993 | Heisenberg grant | | 1992 - 1993 | Guest at Institute for Advanced Studies, Princeton University, NJ, USA | | Since 1993 | Professor (C3), University of Bonn |
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My research interests are centered around the moduli spaces of Riemann surfaces. The surfaces have always (a) at least one boundary curve, or (b) have their boundary curves partitioned into at least one incoming and at least one outgoing curve. These moduli spaces are manifolds and classifying spaces of the corresponding mapping class groups; in case (b) they are spaces of bordisms and are therefore important for string topology and topological field theories. We have developed the theses moduli spaces simplicial models (up to homeomorphism), built out of strata of classifying spaces of symmetric groups. Furthermore, there is an operad structure of the little-2-cube operads and a plentitude of further homology operations. Using these operations we could describe the integral homology and its generators in case (a) for genus 2.
In the future we want to extend this description of the integral homology and its generators for  and to the case (b). This should lead to connections with Sullivan diagrams used in string topology.
A second project is the description of the Mumford-Miller-Morita classes in the concrete models mentioned above.
A third project concerns the generalisation of such a description of the homology to moduli spaces of bundles over surfaces; so this, the symmetric groups need to be replaced by Coxeter groups.
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Bonn International Graduate School in Mathematics
Director, 2001 - 2008
DFG Research Training Group GRK 1150 “Homotopy and Cohomology”
Coordinator, 2005 - 2008 and 2009 - 2014
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[ 1] C.-F. Bödigheimer
Configuration models for moduli spaces of Riemann surfaces with boundary
Abh. Math. Sem. Univ. Hamburg , 76: : 191--233
2006
DOI: 10.1007/BF02960865[ 2] Jochen Abhau, Carl-Friedrich Bödigheimer, Ralf Ehrenfried
Homology of the mapping class group $\Gamma _{2,1} $ for surfaces of genus 2 with a boundary curve
The Zieschang Gedenkschrift
of Geom. Topol. Monogr. : 1--25
Publisher: Geom. Topol. Publ., Coventry
2008
DOI: 10.2140/gtm.2008.14.1[ 3] Carl-Friedrich Bödigheimer, Ulrike Tillmann
Stripping and splitting decorated mapping class groups
Cohomological methods in homotopy theory (Bellaterra, 1998)
of Progr. Math. : 47--57
Publisher: Birkhäuser, Basel
2001[ 4] C.-F. Bödigheimer, F. R. Cohen, M. D. Peim
Mapping class groups and function spaces
Homotopy methods in algebraic topology (Boulder, CO, 1999)
of Contemp. Math. : 17--39
Publisher: Amer. Math. Soc., Providence, RI
2001
DOI: 10.1090/conm/271/04348[ 5] C.-F. Bödigheimer, F. R. Cohen, R. J. Milgram
Truncated symmetric products and configuration spaces
Math. Z. , 214: (2): 179--216
1993
DOI: 10.1007/BF02572399[ 6] C.-F. Bödigheimer, F. Cohen, L. Taylor
On the homology of configuration spaces
Topology , 28: (1): 111--123
1989
DOI: 10.1016/0040-9383(89)90035-9[ 7] C.-F. Bödigheimer, I. Madsen
Homotopy quotients of mapping spaces and their stable splitting
Quart. J. Math. Oxford Ser. (2) , 39: (156): 401--409
1988
DOI: 10.1093/qmath/39.4.401[ 8] C.-F. Bödigheimer
Stable splittings of mapping spaces
Algebraic topology (Seattle, Wash., 1985)
of Lecture Notes in Math. : 174--187
Publisher: Springer, Berlin
1987
DOI: 10.1007/BFb0078741[ 9] C.-F. Bödigheimer
Splitting the Künneth sequence in K-theory. II
Math. Ann. , 251: (3): 249--252
1980
DOI: 10.1007/BF01428944[ 10] Carl-Friedrich Bödigheimer
Splitting the Künneth sequence in K-theory
Math. Ann. , 242: (2): 159--171
1979
DOI: 10.1007/BF01420413 |
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Ulrike Tillmann (1995), now Professor, University of Oxford, England, UK
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Michael Eisermann (2000): “Knotengruppen-Darstellungen und Invarianten von endlichem Typ”,
now Professor, University of Stuttgart
Birgit Richter (2000): “Taylorapproximationen und kubische Konstruktionen von Gamma-Moduln”,
now Professor, University of Hamburg
Johannes Ebert (2006): “Characteristic Classes of Spin Surface Bundles: Applications of the Madsen-Weiss Theory”,
now Professor, University of Münster
Viktoriya Ozornova (2012): “Factoribility, discrete Morse theory and a reformulation of the K(\pi,1)-conjecture”,
now Assistant, University of Bochum
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- Master theses: 6
- Diplom theses: 44
- PhD theses: 16, currently 2
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