- 2019 - 2022 非アーベル岩澤理論の新展開
- 2016 - 2019 Iwasawa theoretic approach to the absolute Galois groups of number fields
- 2013 - 2016 Non-abelian extensions of number fields with restricted ramification
- 2009 - 2013 Study of non-abelian number theory based on Iwasawa theory
- 1997 - 1999 Research on the arithmetic of algebraic curves and jacobian varieties
- 1997 - 1998 Combinatorial semigroup theory and its applications
- 有理数体の総実p-拡大体に対するGreenberg予想の研究
- Combinatorial semigroup theory and its applications
- 代数体の岩澤理論の非アーベルp-拡大の手法による研究
- 非アーベル岩澤理論の研究
- Combinatorial semigroup theory and its applications
- Development of non-abelian Iwasawa theory
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