- 2022 - 2027 Algebraic Geometry and Integrable Systems -- Moduli theory and Equations of Painleve type
- 2019 - 2024 moduli space of connections and the generalized isomonodromic deformation
- 2014 - 2019 integrable system and moduli theory of derived category
- 2015 - 2018 Study on vector bundles and applications to stability and freeness of logarithmic vector fields along a hypersurface
- 2012 - 2017 Developments in Interactions between Algebraic Geometry and Integrable Systems
- 2010 - 2015 Constructions and developments of geomerty on moduli spaces and arithmetic varieties
- 2007 - 2011 New developments and interaction between Algebraic Geometry and Integrable Systems
- 2006 - 2009 Studies on moduli of stable sheaves
- 2006 - 2008 Research on derived categories in algebraic geometry
- 2005 - 2008 An research of algebraic K-theory of arithmetic varieti
- 2006 - 2007 導来圏のモジュライ問題と可積分系の幾何学
- 2004 - 2007 Geometry and global analysis of Pailneve equations
- 連接層の導来圏のモジュライ構造の研究
- Study on the moduli structure of the derived category of choerent sheaves
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