- 2013 - 2018 Development of Iwasawsa theory
- 2010 - 2014 Development of an algorithm for the calculation of the Tate-Shafarevich groups and applicaiton
- 2009 - 2014 New development of Iwasawa theory and its applications
- 2006 - 2008 Development of algorithms for the computation of Selmer groups of elliptic curves and its application
- 2005 - 2008 Hyperplane arrangements and their applications
- 2005 - 2008 Refined Iwasawa theory and the zeta functions
- 2004 - 2007 Development of a system for number theory by script language and related research on algorithmic number theory
- 2002 - 2004 楕円曲線に付随する岩澤加群の構造の研究
- 2002 - 2004 Arithmetic of Cubic Fields and Elliptic Curves associated to them
- 2002 - 2004 Refinement of Iwasawa theory and its applications
- 1999 - 2001 Grant-in-Aid for Scientific Research(C)(2)
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