## Staff -YOKOTA, Takumi-

Name

**YOKOTA, Takumi**
Position
Assistant Professor

E-Mail
takumiy (email address: add @kurims.kyoto-u.ac.jp)

Research

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.