- 2022 - 2026 数論的位相幾何学に基づく数論的場の量子論の構築と絶対幾何学との融合
- 2020 - 2025 数論トポロジーと種々のモノドロミー不変量の新たな展開
- 2017 - 2021 数論的位相幾何学の深化と新展開
- 2014 - 2019 Studies on arithmetic invariants arising from mutual interactions between Galois groups and fundamental groupoids
- 2012 - 2016 Development of arithmetic topology and arithmetic quantum field theory
- 2009 - 2011 Development and Applications of Arithmetic Topology
- 2008 - 2010 Deformation spaces of discrete groups and hyperbolic structures
- 2007 - 2009 Study of the moduli of Galois representations
- 2006 - 2007 Research on the deformation space of hyperbolic structures on manifolds
- 2005 - 2006 Stady of Arithmcfc Topology
- 2005 - 2006 Explicit studies on singularities which appear on 3-dimensional algebraic varieties
- 2002 - 2005 Study on automorphic forms, automorphic L-functions and Shintani functions.
- 2003 - 2004 Study of analogies between algebraic number theory and 3-dimensional topology.
- 2002 - 2003 Inverse Galois Problems with Restricted Ramifications
- 2001 - 2002 Analogies between primes and knots, number theory and 3-dim. Topology
- 2000 - 2001 Classification of higher dimensional hypersurface singularities in terms of non-degenerate complete intersections
- 1999 - 2001 Homotopy theoretical research of manifolds
- 1999 - 2001 Study on automorphic forms, automorphic L functions and Shintani functions.
- 1999 - 2000 Arithmetic of algebraic groups and their homogeneous spaces
- 1998 - 1999 値分布論の総合的研究
- 1997 - 1998 代数群の整数論
- 1997 - 1998 Automorphic forms and L functions on algebraic groups
- 1997 - 1998 Algebro-geometric studies of rational singularities and related singularities by blowing-ups
- 1997 - 1998 Geometric Study of Complex Analysis
- 1996 - 1996 数論的多様体の基本群の整数論
- 1996 - 1996 複素解析学及び関連諸分野の値分布論的研究
- 1995 - 1995 ガロア拡大の整教論
- 1995 - 1995 2次元及び3次元解析空間の特異点の可換環論
- 1994 - 1994 非アーベル拡大の整数論
- 1994 - 1994 複素解析空間の特異点の代数幾何
- 1993 - 1993 相対論的量子力学における経路積分とその関連する諸問題の研究
- 数論的位相幾何学
- Arithmetic Topology
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