## 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 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 contributions 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.