- 2022 - 2027 外微分式系による一般化されたモンジュアンペール方程式の研究とその応用
- 2020 - 2025 偏微分方程式系の接触不変軌道ならびに簡約求積論
- 2020 - 2023 リーマン多様体の局所等長埋め込み問題に現れる可積分条件と不変式
- 2016 - 2021 Local isometric imbeddings of homogeneous Riemannian manifolds and integrability conditions
- 2015 - 2020 A study of geometry of higher order partial differential equations equipped with singularities
- 2015 - 2019 Developments and applications of geometric singularity theory
- 2014 - 2019 Studies on left-invariant geometric structures by submanifold theory
- 2011 - 2016 Integrable homogeneous geometric structures and invariants
- 2012 - 2015 Quandles and discrete symmetric spaces
- 2011 - 2015 Prolongations of differential systems and its topology
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