- 2020 - 2025 微分可能写像の特異点理論と部分多様体の幾何のインタフェイス
- 2021 - 2024 Diffeomorphism group and graph homology
- 2017 - 2023 Chern-Simons perturbation theory and its application to topology
- 2015 - 2020 Interface between singularity theory of mappings and knot theory
- 2014 - 2020 Asymptotic dimension, topological dimension on metric spaces and topological structures of computational models
- 2014 - 2018 Morse theory and topology of manifolds / groups of diffeomorphisms
- 2011 - 2011 Topology related to graph complex
- 2008 - 2011 Cohomology of discrete groups and characteristic classes of flat bundles
- 2009 - 2010 Topology of the group of diffeomorphisms and the spaces of embeddings of manifolds
- 2008 - 2008 埋め込みの空間、微分同相群の分類空間の位相幾何学
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