- 2018 - 2023 Quasiconformal extension in differential geometry and theory of the universal Teichmueller space in harmonic analysis
- 2013 - 2019 Research on the Weil-Petersson metric of infinite dimensional Teichmueller spaces
- 2011 - 2015 Potential theory for parabolic equations with functional analysis
- 2010 - 2015 Various aspects on the study of Geometric Function Theory
- 2008 - 2012 Teichmuller spaces of symmetric structures and the rigidity and fixed-point problems of quasiconformal mapping class groups
- 2007 - 2010 Global construction of pleating coordinates of Teichmuller spaces and its applications
- 2007 - 2010 Potential theoretic approach to parabolic equations
- 2005 - 2008 New development of geometric function theory focused on conformal invariants
- 2004 - 2007 Researches on quasiconformal groups and the modular group of the universal Teichmuller space
- 2003 - 2005 Study on Diophantine problem over function fields and Teichmuller spaces
- 2001 - 2004 Potential theoretic approach to parabolic equations
- 2001 - 2003 リーマン面の正則族のモノドロミーの大域的研究
- 2001 - 2003 Analysis of quasisymmetric functions and Teichmuller space
- 1998 - 2000 Teichmuller Spaces and Mapping Class Groups
- 1997 - 2000 Fractal and Stochastic Process
- 1998 - 1999 Various quasiconformal extensions of a quasisymmetric automorphism of the unit circle and Teichmuller space
- 1997 - 1998 正則2次微分とタイヒミュラー空間
- 1996 - 1996 タイヒミュラー空間とその応用
- 1995 - 1996 Complex manifolds and Teichmuller spaces
- 1995 - 1995 クラクタルと変換
- 1994 - 1994 タイヒミュラー空間とその応用
- 1990 - 1990 優越型統計実験における十分性
- 1989 - 1989 非局所ディリクレ形式と飛躍型確率過程
- 1987 - 1987 超準解析の研究
- 1987 - 1987 3,4次元多様体と結び目の研究
- 擬等角調和写像と擬等角タイヒミュラー理論の研究
- 極値擬等角写像
- Various Quasiconformal Extensions of a Quasisymmetric Automorphism of the Unit Circle
- Theory of Holomorphic Quadratic Differentials and Extremal Quasiconformal Mappings
- 平面上の単葉で調和な写像の幾何学的函数論的研究
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