- 2020 - 2025 Asymptotic and global analysis for integrable systems with irregular singularities and various aspects of the moduli space
- 2015 - 2020 完全積分可能系のmoduli構造の解析と関連する幾何学
- 2013 - 2017 Theory and numerical evaluation of special functions of several variables
- 2012 - 2017 Developments in Interactions between Algebraic Geometry and Integrable Systems
- 2011 - 2016 Study of general hypergeometric functions and integrable systems coming from monodromy preserving deformation
- 2009 - 2014 微分方程式のrigidity・延長可能性と大域構造の解析
- 2011 - 2013 Study on Saito free divisors and uniformization equations
- 2009 - 2011 Asymptotic analysis on the Painleve equations and monodromy problems
- 2007 - 2011 New developments and interaction between Algebraic Geometry and Integrable Systems
- 2007 - 2010 Toward a unified understanding of general hypergeometric functions and general Schlesinger system by twistor theory
- 2005 - 2009 微分方程式の解の積分表示に関する解析学と幾何学
- 2005 - 2007 Analytic study of Painleve equations and a nelated clans of equation
- 2004 - 2007 Geometry and global analysis of Pailneve equations
- 2003 - 2006 General hypergeometric functions and geometry of the space of arrangements of points with infinitesimal neighborhoods
- 2001 - 2005 合流型超幾何関数における層理,外積構造,漸近挙動,接続係数
- 2002 - 2003 ある差分方程式の解の系列に関する研究
- 1999 - 2002 非線形可積分系の法素数還元
- 2001 - 2002 The structure and classification of complex analytic compactifications of C^n with the second Betti number equal to one
- 1999 - 2002 Integrated research of the general hypergeometric systems and nonlinear integrable systems
- 1997 - 2001 不確定特異性を持つ局所系の位相理論
- 1998 - 2001 Nonlinear Inverse Problems and Singular Integral Equations
- 1998 - 2000 Construction of submanifold with constant mean curvature, and its applications
- 1998 - 1999 差分方程式の大域的理論の研究
- 1997 - 1998 Toward a unified theory of special functions of several variables
- 1997 - 1998 Representation formulas of Weierstrass type in submanifold theory
- 1996 - 1997 一般合流型超幾何関数のなすヒエラルキーの構造の研究
- 1995 - 1996 超幾何関数の一般化とその解析的構造
- 1996 - 1996 数式処理による微分方程式の研究
- 1996 - 1996 一般超幾何関数と無限可積分系
- 1994 - 1995 一般超幾何関数の位相的理論と局所・大域解析
- 1993 - 1994 一般超幾何関数の研究
- 1994 - 1994 微分方程式の数式処理システムの研究
- 1992 - 1993 特殊関数の代数的研究
- 1993 - 1993 群論の古典的問題とその関連分野
- 1992 - 1992 微分方程式の解の構造の研究
- 1990 - 1991 微分方程式の微分代数的研究
- 1991 - 1991 2階楕円型方程式の正値解の構造
- 1989 - 1990 微分方程式のガロア理論と特殊関数
- 1990 - 1990 Galois理論の一般化とその解析学への応用
- 1989 - 1989 パフィアン系の解の構造の研究
- 1989 - 1989 無限次元微分Galois理論
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