- 2020 - 2022 トポロジーの形式化における深層学習の適用の研究
- 2015 - 2018 Formalization of geometric topology towards 4-dimensional Poincare conjecture
- 2009 - 2014 Low-dimensional topological invariants, hyperbolic volume and Perelman invariants
- 2011 - 2013 Flows and foliations subordinate to nonintegrable plane fields
- 2007 - 2009 TOPOLOGICAL AND DYNAMICAL STUDY OF NON-INTEGRABLE DISTRIBUTIONS
- 2006 - 2009 Iwasawa conjecture for a hyperbolic threefold and its application to number theory
- 2005 - 2008 Applications of the Ricci flow tedimentional differential toppolog
- 2004 - 2006 Topology of nonintegrable plane fields
- 2001 - 2004 Studies on topological field theory and hyperbolic structures
- 2002 - 2003 Topological study of Engel structures and its characteristic foliations
- 2000 - 2002 The geometric structure of operator algebras
- 1999 - 2000 A study of minimal sets in differentiable flows and foliations
- 1997 - 1999 量子相対性と有限幾何
- 1997 - 1998 CIASSIFICATIONS OF FONC TIONAL DIFFERENTIAL EQUATIONS BY PROCESSES
- 1997 - 1998 A topological study of generalized dynamical systems
- 1996 - 1996 行列モデルとモノイダル圏
- 1995 - 1995 4次元における無限ハンドル構造の位相的変形
- 1994 - 1994 4次元ハンドル構造の位相的変形とノルム多項式
- 1993 - 1993 群の作用と可換なシステムの研究
- 1992 - 1992 整数結び目と3-,4-次元多様体の位相幾何
- 1990 - 1991 Foliations and Geometric Structures
- 1989 - 1989 低次元多様体の位相幾何学
- 1987 - 1987 Yang-Mills場と4次元多様体
- 1987 - 1987 低次元位相幾何の研究
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