- 2020 - 2025 ガロア群の同質類に基づいた代数体の整数論の研究
- 2015 - 2020 Computational study on non-abelian extensions
- 2012 - 2015 Arithmetic of constructive inverse Galois problem
- 2010 - 2015 Research on rationally connected varieties and vector bundles on them from projective-geometric and categorical points of view
- 2011 - 2013 The spaces of regular maps and the applications of real singularity theory to homotopy theory
- 2007 - 2010 New developments in number theory from the Kummer theory of algebraic tori
- 2007 - 2009 RESEARCH OF TOPOLOGY RELATED THE MORSE THEORY AND RESEARCH OF COMPUTER ALGRBRA SYSTEM
- 2007 - 2009 Noether's Problem for Cremona Groups over algebraic number fields and its application to Number theory
- 2004 - 2007 Development of a system for number theory by script language and related research on algorithmic number theory
- 2004 - 2006 Topology related to Mathematical Physics, Morse Theory and Numerical Computations
- 2004 - 2006 Applications of arithmetic theory of algebraic groups to computational number theory
- 2004 - 2006 Research on the Applications of Short Vector Problem and Lattice Algorithms on Public Key
- 2001 - 2003 Topology related to Valuation problems and Numerical Computations
- 2001 - 2003 Study on Number Theoretic Algorithms and Developments of Systems for Number Theory
- 1999 - 2000 計算機を用いた楕円曲線の数論の研究
- 1999 - 2000 Topology related to Mathematical Physics and Numerical Computations
- 1998 - 1998 二次体上定義された楕円曲線の数論の研究
- 1996 - 1996 有限複素鏡映群の不変式論,ジーゲル保型形式とカッツムーディ環との関連の研究
- 1995 - 1995 代数的符号理論と多変数の保型形式
- 1995 - 1995 有限体上の符号の被覆半径と格子群の被覆半径の決定問題
- 1990 - 整数論
- 1990 - Number Theory
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