- 2000 - 現在 高階対数関数
- 2000 - 現在 Algebraic Geometry
- 2000 - 現在 モティーフ理論
- 2019 - 2023 Explicit construction of Hodge complexes of algebraic varieties and applicationa
- 2016 - 2020 Study of DG triangulated categories related to mixed motives
- 2015 - 2020 Application of the theory of motives to various cohomology theories and period integral
- 2012 - 2016 Theory of mixed motivic sheaves and mixed Tate motives
- 2011 - 2015 Geometry and arithmetic of period integrals and motives
- 2009 - 2011 Mixed motivic sheaves, category theory, and study of cycle complexes
- 2007 - 2010 Extensions and applications of the theory of toric varieties
- 2006 - 2008 Study of the theory of mixed motivic sheaves
- 2005 - 2006 多重ポリログ関数の値の関係式の代数幾何的研究
- 2003 - 2005 Applications of the theory of mixed motifs
- 2003 - 2005 Number Theory and Geometry related to Algebraic Groups
- 2002 - 2005 Geometric study of the hypergeometric function
- 2000 - 2002 Theory of motives and algebraic cycles
- 1999 - 2001 A Geometric study of hypergeometric functions
- 1998 - 2000 STUDY OF MULTIPLE ZETA VALUES
- 1997 - 1999 Modern development of special functions - approach from the representation theory and the integrals
- 1997 - 1998 Theory of mixed motives and theory of scissors congruence groups of algebraic polyhedra
- 1996 - 1998 Various aspects of hypergeometric functions
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