- 2015 - 2019 双曲多様体とその変形空間へのローレンツ幾何的アプローチ
- 2011 - 2015 Boundary behaviors of deformation spaces of Kleinian groups
- 2009 - 2014 Study of problems on discrete groups by geometric methods
- 2008 - 2012 Teichmuller spaces of symmetric structures and the rigidity and fixed-point problems of quasiconformal mapping class groups
- 2007 - 2011 Deformation spaces of Kleinian groups and conformal geometry
- 2005 - 2008 Study of rigidity of discrete groups by geometric methods
- 2004 - 2007 多様体上の等角構造とクライン群の変形空間のトポロジー
- 2002 - 2004 曲面上の射影構造とクライン群の変形空間の境界挙動
- 2001 - 2004 Study of Discrete Subgroups of Rank 1 Simple Groups by Geometric Methods
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