- 2020 - 2023 Study of a movable singular point of a Hamiltonian system and Borel summability
- 2017 - 2020 Construction of Borel summability theory for partial differential equation and investigation of Stokes geometry
- 2014 - 2016 非可積分ハミルトン系の接続問題の研究
- 2011 - 2014 環境変化に対する生物群集の応答と機能形質動態に関する数理生態学的研究
- 2011 - 2013 Study of structures of singular phenomena via complex global analysis
- 2008 - 2010 Study of Diophantine phenomena and exact asymptotic analysis of singular partial differential equations
- 2007 - 2010 New developments in number theory and geometry : arithmetic topology, categorical arithmetic geometry, algorithm
- 2007 - 2009 Ergodic-theoretical study of dynamical systems and stochastic processes on moduli space of curves
- 2007 - 2009 Loewner方程式の幾何学的函数論および確率過程への応用
- 2006 - 2008 可積分保存系における剛性の研究
- 2005 - 2008 New development of geometric function theory focused on conformal invariants
- 2004 - 2007 Beyond the framework of classical arithmetic geometry-Zeta, arithmetic topology, and categorical arithmetic geometry
- 2004 - 2006 リーマンヒルベルト問題とホモロジー方程式系からみる複素漸近解析
- 2004 - 2006 Ergodic-theoretical study of the distribution of Teichmuller closed geodesics and the dynamical zeta functions
- 2002 - 2005 Structural analysis of differential equations by the exact WKB method
- 2002 - 2003 Study on non-liner partial differential equations by means of besov tpe norms
- 1999 - 2002 Study of Diophantine Phenomena Appearing in Asymptotic Analysis of Nonlinear Partial Differential Equations
- 1999 - 2000 Applications of Besov spaces and Sobolev spaces to non-linear problems in mathematical physics
- 1998 - 2000 Geometry of webs, Hamiltonian systems and complex dynamics
- 1995 - 1996 Number theoretic and algebraic research of divergent formal solution
- 1990 - 1990 空間曲面の解析的研究
- 1989 - 1989 大域的準楕円性とストークス問題の関連について
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