List of faculty

HAMADA, Noriyuki( HAMADA, Noriyuki ) / Assistant Professor

Faculty , Department

Institute of Mathematics for Industry : Fundamental Mathematics


Topology, Low-dimensional Topology, Mapping Class Groups, Lefschetz Fibrations

I am studying the topology of 4-dimensional manifolds using the mapping class groups of surfaces. Dealing directly with 4-dimensional spaces is challenging, but certain favorable classes such as symplectic 4-manifolds are known to be understood as a "family of surfaces." Furthermore, such families can be concisely expressed in terms of the mapping class groups of surfaces. In this way, I am studying abstract 4-manifolds through the more familiar surfaces where our intuitions work much better. With this approach we can construct various 4-manifolds using elementary arguments and my primary focus lies in addressing questions about the existence of 4-manifolds that satisfy certain restrictions on topological invariants, or other invariants.