The relationships between the micro, mezzo, macro structures of spaces
|Keyword||Laplacian, Heat Kernel, Essential selfadjointness, Markov uniqueness, Stochastic complete, Liouville Property|
Introduction of Research
The main direction of my research is investigation of the global properties of solutions to elliptic and parabolic equations in connection with the geometry "in the large" and the "singularity" of the underlying space. Here are some examples of such properties: essential selfadjointness of operators, heat kernel, Liouville properties, recurrence and non-explosion of the heat semigroup.
I am from Tokyo. My research area is Global Analysis. My hobby is reading and listening to music, and I am trying to walk ahead quickly in order to keep my health.
|Academic background||1999 Ph.D., GSIS Tohoku University|
2001 Rome University, Visiting Associate Professor
2003 London Imperial Collete, Research Fellow
2009 Penn State, Assistant Professor
2013 GSIS Tohoku University, Associate Professor
2016 Hokkaido University, Professor
|Affiliated academic society||Mathematical Society of Japan|