KAWAZUMI Nariya


河澄 響矢 （かわずみ なりや）
KAWAZUMI Nariya

KAWAZUMI Nariya
Title Professor
Affiliation Department of Mathematics (UG), Graduate School of Mathematical Sciences
E-mail
Room 415, Graduate School of Mathematical Sciences Bldg. 4F, Komaba Campus
TEL +81-3-5465-7031　|　47031（ext.）


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

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