List of faculty
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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 high-dimensional aspects of spaces, and indeed infinite-dimensional spaces appear as the limit spaces.