- 2018 - 2022 数論と幾何のアルゴリズム的展開
- 2018 - 2020 数論と幾何のアルゴリズム的展開
- 2014 - 2018 Application of uniformity and hyper uniformity in sciences
- 2015 - 2017 超一様性の諸科学への応用とソフトウエア開発
- 2015 - 2017 Higher order hyper uniform point sets and higher order quasi-Monte Carlo method
- 2011 - 2015 New developments in number theoretic geometry, topology, and algorithm
- 2012 - 2014 New figure of merits for quasi-Monte Carlo point set
- 2009 - 2011 High performance random number generator for new generation
- 2007 - 2010 New developments in number theory and geometry : arithmetic topology, categorical arithmetic geometry, algorithm
- 2006 - 2008 高性能線形擬似乱数の開発と非線形化、暗号耐性化の研究
- 2004 - 2007 Beyond the framework of classical arithmetic geometry-Zeta, arithmetic topology, and categorical arithmetic geometry
- 2002 - 2004 並列分散モンテカルロ法と疑似乱数
- 2001 - 2004 Geometry of Moduli Spaces and Galois Actions
- 1999 - 2000 単純特異点の変形空間と曲線のモジュライ
- 1997 - 1998 写像類群のヘッケ環表現とガロア作用
- 1997 - 1997 分散並列システム上でのモンテカルロ法と分散疑似乱数発生
- 1996 - 1996 曲線のモジュライ空間の幾何を介した外ガロア表現の研究
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