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Staff Introduction
I research the convergence theory of Riemannian manifolds and metric measure spaces. More specifically, I study the convergence of such spaces and the geometric analytic properties of convergent sequences of spaces and of their limit spaces. In particular, I am interested in the concentration topology (on the set of all metric measure spaces) based on the concentration of measure phenomenon. This topology is effective to capture the highdimensional aspects of spaces, and indeed infinitedimensional spaces appear as the limit spaces.
Keywords  Geometric analysis, Metric measure space, Convergence theory 

Faculty , Department  Faculty of Mathematics , Department of Mathematics 