| kawazumi@ms.u-tokyo.ac.jp | |
| TEL | +81-3-5465-7031 | 47031（ext.） |
| Room | 415, Graduate School of Mathematical Sciences Bldg. 4F, Komaba Campus |
| Links |
Research Field
Topology, Riemann surfaces
Research Subject
Topology of the moduli space of Riemann surfaces and the automorphism group of a free group
Current Research
My primary research interest is in the cohomology of the moduli space of compact Riemann surfaces and that of the automorphism group of a free group. By making use of twisted cocycles, I am tring to clarify the structure of the cohomology of the moduli with trivial coefficients. `Canonical’ differential forms representing twisted Morita-Mumford classes play a central role in my research. I also study moduli spaces of symmetric Riemann surfaces and complex analytic Gel’fand-Fuks cohomology.
Keywords
Riemann surface, mapping class group, twisted Morita-Mumford class, Magnus expansion, hyperelliptic mapping class group, finite symmetry of Riemann surfaces