- 2021 - 2026 結び目のトポロジーとその高分子科学への応用の研究
- 2017 - 2022 多重分岐曲面の3次元多様体への埋め込み(グラフ理論と3次元多様体論の融合)
- 2016 - 2021 Research on knot theory and its application
- 2014 - 2017 Embeddings of manifold-graphs
- 2014 - 2017 The mapping class groups of Heegaard splittings
- 2013 - 2017 Research on 3-manifold using geometric techniques and its development
- 2014 - 2017 多様体グラフの埋め込み
- 2011 - 2014 結び目の位置と曲面
- 2011 - 2013 Positions and surfaces of a knot
- 2000 - 2001 幾何的結び目理論
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