- 2010 - 2015 Stability analysis for nonlinear partial differential equations
- 2010 - 2014 Research on holomorphic mappings of Riemann surfaces----roles of handles played in the existence problem of holomorphic mappings
- 2008 - 2012 Continuations of a Riemann surface and dynamics of viscos fluid --- study of conformal embeddings and associated Poiseuille flow
- 2007 - 2009 Holomorphic mappings of Riemann surfaces with handles
- 2005 - 2006 Study on characteristic numbers of G-manifolds and its fixed points submanifolds
- 2004 - 2005 Extremal problems and holomorphic mappings of Riemann surfaces
- 2003 - 2004 Hessian Geometry and Information Geometry
- 1999 - 2000 破壊の数理モデルのコード化
- 1998 - 1999 リーマン面上の極値的長さ、双曲的長さとモデュライ問題
- 1998 - 1999 Differential Geometry and Information Geometry II
- 1997 - 1998 Mathematical Modeling and Mathematical Analysis of Fracture
- 1997 - 1998 Transformation Group Theory and Critical Point Theory
- 1997 - 1998 Research on holomorphic mappings between Riemann surfaces
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