## Staff -TAKEI, Yoshitsugu-

Name

**TAKEI, Yoshitsugu**
Position
Associate Professor

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

Research

Yoshitsugu Takei is working on differential equations, particularly on
the exact WKB analysis of linear and nonlinear differential equations.
In collaboration with T. Aoki (Kinki Univ.), T. Kawai (RIMS) and T. Koike
(Kobe Univ.), he has succeeded in describing the monodromic structure of
second order Fuchsian equations through the exact WKB analysis, discovered
the exact steepest descent method, and constructed the framework of the
exact WKB analysis for Painlev\'e equations. His current interest consists
in extending the exact WKB analysis to more general equations such as
difference equations and completely integrable systems of differential
equations, and also in obtaining an explicit description for the
resurgent-analytical structure of WKB-type formal solutions of linear
differential equations as well as of Painlev\'e equations.