Photo of Masaki Taniguchi
Research Fields
Mathematics, Topology
Term and History
2020/04/01 - 2023/03/31 Special Postdoctoral Researcher
2023/05/01 - Visiting Scientist (Main: Assistant Professor, Department of Mathematics, Kyoto University)


I am Masaki Taniguchi, a mathematician, who has been working at iTHEMS/RIKEN since April 2020. My interests cover gauge theory, Floer theory and its applications to 3- and 4-dimensional topology. In a mathematical study of gauge theory, we obtain information of 4-manifolds by observing the moduli space of solutions to a certain non-linear partial differential equation for a given 4-manifold. This method enables us to find interesting phenomena of 3- and 4-dimensional topology which are different from that of other dimensions.
Currently, I am studying the following topics:
1. gauge theory for a class of non-compact 4-manifolds called 4-manifolds with periodic ends and their applications to existence of codimension-1 embedding of 3-manifolds and positive scalar curvature on spin 4-manifolds,
2. a quantitative formulation of instanton Floer homology and its applications to a study of the homology cobordism group which is related to existence of triangulations of topological manifolds, and
3. a study of 2-dimensional knots in the 4-space using gauge theory.
I'm also interested in physical aspects of gauge theory. I'm looking forward to discussing with researchers in various fields at RIKEN.

Related Events

iTHEMS x academist Online Event "World of Mathematical Sciences 2022"

April 24 (Sun) at 10:00 - 16:30, 2022 Special Lecture

Knotted 2-spheres in the 4-space and Yang-Mills gauge theory

May 27 (Wed) at 16:00 - 18:10, 2020 Seminar iTHEMS Math Seminar

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