Staff -YOKOTA, Takumi-
Name YOKOTA, Takumi
Position Assistant Professor
E-Mail takumiy (email address: add @kurims.kyoto-u.ac.jp)
Takumi Yokota is working on the Ricci flow and geometry of Alexandrov spaces. These are two of the main tools in Perelman's proof of the geometrization conjecture for 3-dimensional closed manifolds. In particular, he is interested in geometric aspects of these theories. Some of his results are gap theorems for ancient solutions to the Ricci flow equation and gradient shrinking Ricci solitons and a comparison theorem for the filling radius of Alexandrov spaces with a positive lower curvature bound.