- 2019 - 2024 Coxeter群の増大度とCoxeter元のスペクトル半径の間のMcKay対応
- 2018 - 2023 Quasiconformal extension in differential geometry and theory of the universal Teichmueller space in harmonic analysis
- 2014 - 2019 Study on Teichmuller modular groups through flat structures
- 2014 - 2018 Riemann surfaces and low dimensional manifolds
- 2013 - 2017 無限次元タイヒミュラー空間上のヴェイユ・ピーターソン計量の研究
- 2011 - 2016 Teichmuller space and its topological dynamics via flat singular metrics on a surface
- 2010 - 2015 Geometric structure and combinatorial structure of 3-dimensional manifolds
- 2010 - 2015 Singularities and balancing conditions on the theory of minimal surfaces and related geometric variational problems
- 2011 - 2014 Studies on compactifications of Teichmuller spaces
- 2007 - 2010 Global construction of pleating coordinates of Teichmuller spaces and its applications
- 2006 - 2010 Euclidean cone structures on a surface and Teichmuller spaces
- 2005 - 2008 Research on Submanifold Theory via Infinite Dimensional Methods
- 2003 - 2005 Study on Diophantine problem over function fields and Teichmuller spaces
- 2002 - 2005 STUDY OF TOPOLOGICAL INVARIANTS FOR KNOTS AND THEIR APPLICATIONS
- 2001 - 2003 Analysis of quasisymmetric functions and Teichmuller space
- 2000 - 2003 Heegaad splittings of 3-dimensional manifolds and geometric structures
- 1998 - 2000 Teichmuller Spaces and Mapping Class Groups
- 1998 - 1999 Various quasiconformal extensions of a quasisymmetric automorphism of the unit circle and Teichmuller space
- 1998 - 1999 On arithmetic theory of automorphic forms and special values of automorphic L-functions
- 1997 - 1998 The martingale problem for generators of variable order
- 1997 - 1998 正則2次微分とタイヒミュラー空間
- 1995 - 1997 Complex manifolds and Teichmuller spaces
- 1996 - 1996 タイヒミュラー空間とその応用
- 1995 - 1995 複素解析幾何を用いた力学系の研究
- タイヒミュラー空間のプリーツ不変量の研究
- Hecguard Splittings and genetic structures of 3-manifolds
- プリーツ不変量によるタイヒミュラー空間の研究
- Heegaard structures and geometric structures of 3-manifolds
- リーマン面の正則族の大域的構成法の種々の試み
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