- 2020 - 2025 Orderings in 3-manifold groups and Heegaard Floer L-spaces
- 2017 - 2021 STEM Education for the Next Generation
- 2016 - 2019 Orderings in 3-manifold groups
- 2012 - 2017 Studies of knot theory and their applications
- 2013 - 2015 Fundamental groups of 3-manifolds and orderings
- 2009 - 2013 Research on 4-dimensional topology from the viewpoint of graphics and quandle theory
- 2010 - 2012 ExceptionalDehn surgeries on hyperbolic knots
- 2009 - 2011 Indiscrete representations of discrete groups
- 2009 - 2011 Studies of Knot Theory
- 2007 - 2009 Exceptional Dehn surgeries on hyperbolic knots and their arrangement
- 2004 - 2006 Exceptional Dehn surgery creating essential or Heegaard tori
- 2003 - 2004 Developing monodromy descriptions and studying two-dimensional knots and braids by using quandles
- 2002 - 2003 Exceptional Dehn surgery on hyperbolic 3-manifolds
- 2001 - 2002 Differential Topology and Singularities
- 2000 - 2001 双曲型結び目の例外的デーン手術に関する研究
- 1999 - 2000 Global Singularity Theory of Mappings and Various Structures of Manifolds
- 1999 - 1999 4次元空間内曲面の変形と2次元結び目解け予想
- 1999 - 1999 双曲型結び目の例外的デーン手術に関する研究
- 1997 - 1998 Study on global theory of singularities of mapping and 3-and 4-dimensional manifolds
- 1997 - 1998 結び目のデーン手術によるレンズ空間の構成
- 1997 - 1997 4次元空間内曲面の変形と3次元射影
- 1996 - 1996 結び目上のデーン手術による曲面の生成に関する研究
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