- 1995 - 現在 Study of degenerate Abelian varieties
- 1985 - 現在 Study of toric varieties
- 2019 - 2023 偏極トーリック多様体の定義方程式と格子凸多面体の研究
- 2014 - 2017 トーリック多様体とカラビ・ヤウ超曲面の研究
- 2009 - 2014 Castelnuovo-Mumford regularity for projective variety and its related topics
- 2011 - 2014 整凸体のミンコフスキー和とトーリック多様体の研究
- 2007 - 2010 Extensions and applications of the theory of toric varieties
- 2007 - 2009 Study on equivariant mapps of toric varieties and vector bundles
- 2006 - 2009 Study of special domains and its application to complex geometry
- 2006 - 2008 Algebro-Geometric Approach to Invariants in Commutative Algebra
- 2005 - 2008 Castelnuovo-Mumford regularity for projective varieties
- 2004 - 2006 Study on integral convex polytopes and toric varieties
- 2003 - 2005 Number Theory and Geometry related to Algebraic Groups
- 2000 - 2002 Number Theory and Geometry related to Algebraic Groups
- 1999 - 2001 Study of special domains
- 1999 - 2000 Study on toric varieties, vector bundles on them and their subvarieties
- 1998 - 1999 STUDY OF THE HEIGHTS AND THE DISTRIBUTION OF RATIONAL POINTS ON ALGEBRAIC VARIETIES
- 1997 - 1998 Study of group actions on complex manifolds
- 1996 - 1996 部分多様体の剛性の研究
- 1995 - 1995 算術の部分体系とそのモデルについての研究
- 1995 - 1995 葉層の微分幾何学的構造
- 1995 - 1995 リーマン面の退化と実3次元多様体の研究
- 1994 - 1994 正規特異点の研究
- 1993 - 1993 自然な計量をもった主束の等長変換群
- 1992 - 1992 幾何学的変分法と大域解析
- 1991 - 1991 正則関数に関連した関数空間
- 1988 - 1988 孤立特異点の研究
- 1988 - 1988 数論的光点特異点の研究
- 1987 - 1987 複素多様体の幾何学
- 1986 - 1986 カスプ特異点の研究
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