## KAWASAKI Morimichi

Associate Professor

### Studying spaces from the view of their transformation groups.

Department of Mathematics, Mathematics

Theme | Researching on (Hamiltonian) Dynamical Systems on Symplectic Manifolds from the view of Group-Theoretic and Geometric Properties of the group of Hamiltonian diffeomorphisms. |

Field | Symplectic geometry, Contact geometry, Topology, Geometric group theory |

Keyword | Symplectic Geometry, The group of Hamiltonian diffeomorphisms, Hamiltonian dynamical systems, (Partial) quasi-morphism, Calabi partial quasi-morphism, (Partial) quasi-states, Oh--Schwarz spectral invariants, Bounded cohomology |

#### Introduction of Research

My main reseaerch interest is symplectic geometry. Symplectic geometry has historical roots in Hamiltonian systems in classical mechanics and has gained recent attention for its connections with various other fields.

I am particularly interested in studying the metric and group structures of the group of Hamiltonian diffeomorphisms, which is one of the transformation groups of a symplectic manifold. Additionally, I research their applications, such as non-displaceable fibers in integrable systems, and I am also interested in applying group-theoretic arguments used to study the group of Hamiltonian diffeomorphisms to other transformation groups like the contact diffeomorphism group and the diffeomorphism group.

#### Representative Achievements

*J. Symplectic Geom.*14 (2016), no. 1, 297--304.

*J. Math. Soc. Japan*74 (2022), no. 3, 829--847.

*Geom. Funct. Anal*.

Self Introduction | I am from Kagoshima. |

Academic background | 2011: Graduated from the Department of Mathematics, Faculty of Science, the University of Tokyo. 2013: Completed the Master's Program in Mathematical Sciences, Graduate School of Mathematical Sciences, the University of Tokyo. 2016: Completed the Doctoral Program in Mathematical Sciences, Graduate School of Mathematical Sciences, the University of Tokyo. 2013-2016: Japan Society for the Promotion of Science (JSPS) Research Fellow (DC1), Graduate School of Mathematical Sciences, the University of Tokyo. 2016-2018: Research Fellow at IBS Center for Geometry and Physics. 2018-2021: Japan Society for the Promotion of Science (JSPS) Research Fellow (PD), Research Institute for Mathematical Sciences, Kyoto University. 2021-2023: Assistant Professor in the Department of Mathematical Sciences (formerly Department of Physics and Mathematics), Faculty of Science and Engineering, Aoyama Gakuin University. 2023-Present: Associate Professor in the Mathematics Division, Institute for the Advancement of Higher Education, Hokkaido University. |

Room address | Science Building 4 |