Visiting Scientist, Division of Fundamental Mathematical Science, RIKEN Center for Interdisciplinary Theoretical and Mathematical Sciences (iTHEMS)
Main: Associate Professor, Graduate School of Science, Kyoto University
Masaki Taniguchi
- Research Fields
- Mathematics, Topology
- Appointment History
- 2020/04/01 - 2023/03/31Special Postdoctoral Researcher, RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS)
- 2023/05/01 - 2024/07/31Visiting Scientist, RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS) Main: Assistant Professor, Graduate School of Science, Kyoto University
- 2024/08/01 - 2025/03/31Visiting Scientist, RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS) Main: Associate Professor, Graduate School of Science, Kyoto University
- 2025/04/01 - Visiting Scientist, Division of Fundamental Mathematical Science, RIKEN Center for Interdisciplinary Theoretical and Mathematical Sciences (iTHEMS) Main: Associate Professor, Graduate School of Science, Kyoto University
- Related Website
- Masaki Taniguchi's personal website
Self-introduction
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