- 2021 - 2024 Research of chart moves by using computer effectively
- 2018 - 2021 Theory of transformations of charts
- 2016 - 2021 結び目と3次元多様体の量子トポロジー
- 2011 - 2016 A research of surface-links by using charts
- 2009 - 2014 Research on 4-dimensional topology from the viewpoint of graphics and quandle theory
- 2008 - 2010 A Classification of Minimal Charts
- 2004 - 2007 Relations about geometric characteristics of surface knots and invariants
- 2004 - 2006 Geometry and topology of 4-manifolds
- 2000 - 2003 State-Sum Iwarlants of Surface-knot in 4-space
- 1998 - 1998 4次元球面に埋め込まれた曲面について
- 埋め込まれた曲面の射影について
- Projections of Knotted surfaces
Show all