YOSHIDA Kenichi

ヨシダケンイチ | YOSHIDA Kenichi

Affiliation and department：
Job title： Professor

Research field (1)： Algebra

Research keywords (11)： Rees algebra , arithmetical rank , Ulrich module , Stanley-Reisner ring , Buchsbaum ring , Cohen-Macaulay ring , Hilbert-Kunz multiplkicity , F-regular ring , F-rational ring , test ideal , tight closure

Research theme for competitive and other funds (29)：

2024 - 2027 整閉イデアルの正規還元種数と正規正接錐の研究
2019 - 2023 整閉イデアルを用いた正標数の特異点の研究
2018 - 2023 Stanley-Reisner イデアルの算術階数とその記号的べきの射影次元
2016 - 2019 Research on rational singularities and almost Gorenstein blow-up algebras
2014 - 2018 Commutative Ring Theory of Singularities

2014 - 2017 Arithmetical rank of Stanley-Reisner ideals and projective dimension of their powers

2011 - 2017 Non-commutative crepant resolution, Orbifold cohomology and generalization of the McKay correspondence

2013 - 2016 Maximal Cohen-Macaulay modules over singularities of positive characteristic

2011 - 2013 Commutative Ring Theory of Singularities of Algebraic Varieties

2011 - 2013 Minimal free resolutions and the arithmetical rank of Stanley-Reisner ideals

2010 - 2012 Research of ring-invariants associated to powers of ideals

2010 - 2012 Invariant theory which uses equivariant sheaves

2008 - 2010 Characteristic p method in singularity theory

2007 - 2009 Research of multiplier ideals and tight closures from viewpoint of commutative algebra and computational algebra

2006 - 2009 Closure operations and actions of algebraic groups

2006 - 2008 Algebro-Geometric Approach to Invariants in Commutative Algebra

2006 - 2007 Study on minimal free resolution of Stanley-Reisner rings

2005 - 2007 Singurality Theory and Frobenius Morphism

2004 - 2006 Research for multiplicities and tight closures on singular points of positive characteristic

2004 - 2005 Study on minimal free resolution of Stanley-Reisner rings

2004 - 2005 Applications of tight closure and F-singularity to algebraic geometry

2003 - 2005 Duality of sheaves with actions

2002 - 2003 On ring-theoretical properties of blow-up rings over singular points in positive characteristic

2001 - 2003 Algebro-Geometric Method in Commutative Algebra

1999 - 2001 On ring-theoretical invariants of singular points in positive characteristic

1998 - 2000 Good filtrations and rings of invariants

1997 - 1998 On the roles of generalized linear CM modules in commutative ring theory

1996 - 1996 古典群・量子群の表現論とYoung図形の組合せ論

1994 - 1994 グラフのスペクトルと不変式論

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Papers (63)：

Tomohiro Okuma, Maria Evelina Rossi, Kei-ichi Watanabe, K.Yoshida. Normal Hilbert coefficients and elliptic ideals in normal 2-dimensional singularities. Nagoya Math.J. 2023. 248. 779-800
Jack Jefferies, Yusuke Nakajima, Ilya Smirnov, Kei-ichi Watanabe, Ken-ichi Yoshida. Lower bound on Hilbert-Kunz multiplicities and maximal F-signatures. Math.Proc.Camb.Phil.Soc. 2023. 174. 247-271
Okuma Tomohiro, Kei-ichi Watanabe and Ken-ichi Yoshida. The normal reduction number of two-dimensional cone-like singularities. Proc. Amer. Math. Soc. 2021. 149. 11. 4569-4581
Tony J. Puthenpurakal, Kei-ichi Watanabe, Ken-ichi Yoshida. Strong Rees property of powers of the maximal ideal and Takahashi-Dao's question. J. Algebra. 2021. 571. 297-315
Giancarlo Rinaldo, Naoki Terai, Ken-ichi Yoshida. Licci level Stanley-Reisner ideals with height three and with type two. Combinatorial Structures in Algebra and Geometry" NSA 26, Constanta, Romania, August 26-September 1, 2018. 2020. 331. 123-142

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Books (1)：

岩波数学辞典第4版(日本数学会編集)
岩波書店 2007

Lectures and oral presentations (92)：

Normal tangent cone of the maximal ideal for a certain hypersurface
(日本数学会2024年日本数学会代数学分科会 2024)
Normal tangent cones of symmetric numerical semigoup rings
(東京可換環論セミナー 2024)
Gorenstein normal tangent cones
(第44回可換環論シンポジウム 2023)
Gorenstein normal tangent cones
(日本数学会2023年秋季総合分科会 2023)
Introduction to ring-theoretic properties of geometric ideals
(Mini workshop on singularities -Various aspects of singularities 2023)

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Education (5)：

1991 - 1991 Nagoya University Graduate School, Division of Natural Science Mathematics
1991 - 1991 Nagoya University Graduate School, Division of Natural Science Mathematics
1989 - 1991 Nagoya University Graduate School, Division of Natural Science Mathematics
1989 - 1991 Nagoya University Graduate School, Division of Natural Science Mathematics
1985 - 1989 Chiba University Faculty of Science Mathematics

Work history (6)：

2012/04 - 現在 Nihon University College of Humanities and Sciences, Department of Mathematics Professor
2007/04 - 2012/03 Graduate School of Mathematics, Nagoya University・Assistant Professor
2004/04 - 2007/03 Graduate School of Mathematics, Nagoya University・Assistant Professor
1995/04 - 2004/03 Graduate School of Mathematics, Nagoya University・Assistant
1993/04 - 2002/03 Toyota National College of Technology・parttime instructor

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