|Graduate School of Science||Mathematics and Mathematical Sciences||Assistant Professor|
Mean dimension, Holomorphic curve, Gauge theory
Overview of your research
My main research area is the theory of mean dimension. Mean dimension is a topological invariant of dynamical systems introduced by Gromov in 1999. While his motivation is to propose a new approach to infinite dimensional dynamical systems in geometric analysis, Elon Lindenstrauss and Benjamin Weiss found deep applications of mean dimension to topological dynamics. I have studied both geometric analysis approach and topological dynamics approach to mean dimension theory.
Fields of research (key words)
dynamical system, function theory, differential geometry