- 2022 - 2025 曲面結び目のリスト作成と仮想結び目の不変量の研究
- 2019 - 2024 Research on 4-dimensional topology from the viewpoint of graphics and quandle theory
- 2019 - 2023 曲面結び目の射影図による構成と不変量による分類の研究
- 2014 - 2019 Research on 4-dimensional topology from the viewpoint of graphics and quandle theory
- 2016 - 2019 1次元と2次元の結び目の類似性と相違性に関する射影図的研究
- 2012 - 2017 Studies of knot theory and their applications
- 2013 - 2016 曲面結び目理論におけるタングル的手法の開発とその応用
- 2009 - 2014 Research on 4-dimensional topology from the viewpoint of graphics and quandle theory
- 2010 - 2012 THE RESEARCH OF THE STRUCTURES AND INVARIANTS OF STABLE EQUIVALENCE CLASSES OF KNOTS IN THICKENED SURFACES
- 2009 - 2011 Studies of Knot Theory
- 2010 - 一次元結び目の時間的変化と曲面結び目の不変量
- 2009 - 結び目空間の構造と不変量の研究
- 2005 - 2008 Applications of the Ricci flow tedimentional differential toppolog
- 2006 - 射影図による2次元結び目の研究
- 2002 - 2003 Topological study of Engel structures and its characteristic foliations
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