- 2021 - 2025 対称空間の一般化およびその極地と対蹠集合の幾何学的研究
- 2017 - 2022 Geometry of Lie group actions and submanifolds associated to symmetric pairs
- 2015 - 2018 New Development of Submanifold Geometry and Harmonic Map Theory in Symmetric Spaces
- 2015 - 2018 Extension and application of antipodal sets in symmetric spaces
- 2013 - 2018 Systematic development and application of methods in differential geometry and integrable systems motivated by quantum cohomology
- 2014 - 2017 Research on special Lagrangian submanifolds and their singularities
- 2012 - 2015 Research on submanifold geometry and harmonic map theory in symmetric spaces
- 2012 - 2015 Study of antipodal sets in symmetric spaces with its extension and application
- 2011 - 2014 Research on special Lagrangian submanifolds in non-flat Calabi-Yau manifolds
- 2009 - 2012 Exploitation of new relations between differential geometry and quantum cohomology in the context of integrable systems
- 2010 - 2011 Geometry and visualization of integrable systems and applications to quantum field theory and neuroscience
- 2009 - 2011 Differential geometry and integral geometry in homogeneous spaces and its applications
- 2008 - 2010 Geometric structure on geometric manifolds which admit Lie group transformations and various Rigidity
- 2008 - 2010 Geometry of weakly reflective submanifolds
- 2006 - 2008 Research on quantum cohomology, Frobenius manifolds, and harmonic maps related to integrable systems
- 2005 - 2008 Research on Submanifold Theory via Infinite Dimensional Methods
- 2006 - 2007 Research of submanifolds in a symmetric space by using infinite dimensional geometry
- 2006 - 2007 Integral geometry in homogeneous spaces and its applications
- 2005 - 2007 積分幾何学による変分問題:ラグランジュ部分多様体のハミルトン体積最小性
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