## 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 the geometry of Alexandrov spaces,
both of which are used extensively 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 and gradient shrinking Ricci solitons and a
comparison theorem for the filling radius of Alexandrov spaces with a positive lower
curvature bound.