KASUYA Naohiko
Associate Professor
Elucidating real and complex geometry by topology
Department of Mathematics, Mathematics
| Theme | Research on contact and complex geometry from the differential topological viewpoint |
| Field | Differential topology, contact geometry, complex geometry |
| Keyword | Open non-Kahler complex surfaces, strongly pseudoconcave surfaces, complex tangents, Milnor fibers, singularity links |
Introduction of Research
The main theme of my research is complex surfaces and their boundary contact structures. Stein surfaces and their strongly pseudoconvex boundaries are the most typical examples. Especially, I am interested in the Milnor fiber and the link of a complex hypersurface singularity, called a cusp singularity, and studying them based on the knowledge of differential topology, contact geometry and symplectic geometry. I am also interested in non-Kahler complex surfaces and complex surfaces with strongly pseudoconcave boundaries, and constructed complex structures on the 4-dimensional Euclidean space which have both properties, based on the knowledge of 4-dimensional topology.
Representative Achievements
| Academic degree | PhD (Mathematical Science) |
| Self Introduction | I have worked on problems of contact geometry and complex geometry based on the knowledge of topology. Before coming to Sapporo, I have lived in Tokyo for 30 years, in Kyoto for 4 years. I have impression that Sapporo is a relatively new city and has various possibilities for the future. |
| Academic background | 2009 B. S., Department of Mathematics, Faculty of Science, The University of Tokyo 2011 M. S., Graduate School of Mathematical Science, The University of Tokyo 2014 Ph.D., Graduate School of Mathematical Science, The University of Tokyo 2014 Project researcher, Graduate School of Mathematical Science, The University of Tokyo 2015 Assistant professor, School of Social Informatics, Aoyama Gakuin University 2017 Associate professor, Department of Mathematics, Faculty of Science, Kyoto Sangyo University 2021 Associate professor, Department of Mathematics, Faculty of Science, Hokkaido University |
| Room address | Science Building 3 |
