Tokyo Metropolitan University · Graduate School of Science / Faculty of Science · 教授

Research keywordspolynomial automorphisms・Hilbert fourteenth problem・locally nilpotent derivations・invariant rings・SAGBI bases・algebraic extensions・affine algebraic geometry

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• [12] Shestakov-Umirbaev reductions and Nagata's conjecture on a polynomial automorphism, Tohoku Math. J. 62 (2010), 75-115.2010 · 研究業績 · _other
• [13] A simple proof of Nowicki's conjecture on the kernel of an elementary derivation, Tokyo J. Math. 32 (2009), 247-251.2009 · 研究業績 · _other
• [10] A generalization of the Shestakov-Umirbaev inequality, J. Math. Soc.Japan 60 (2008), 495-510.2008 · 研究業績 · _other
• [9] Hilbert's Fourteenth Problem and algebraic extensions with an appendix on Roberts type counterexamples, Acta Math. Vietnam 32 (2007), 247--2572007 · 研究業績 · _other

• 多項式環の自己同型群の構造解析とその応用
• 高次元アフィン代数多様体の構造とユニポテント幾何
• 不変式と微分の組合せ論的研究
• 多項式環の研究:効果的手法の確立とその応用

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