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

Natural sciences, Algebra, Algebra

Apr. 2012 - Present
Nihon University, College of Humanities and Sciences, Department of Mathematics, Professor

Apr. 2007 - Mar. 2012
Graduate School of Mathematics, Nagoya University・Assistant Professor

Apr. 2004 - Mar. 2007
Graduate School of Mathematics, Nagoya University・Assistant Professor

Apr. 1995 - Mar. 2004
Graduate School of Mathematics, Nagoya University・Assistant

Apr. 1993 - Mar. 2002
Toyota National College of Technology・parttime instructor

Oct. 1991 - Mar. 1995
Assistant, Faculty of Science, Nagoya University

01 Apr. 1991 - 30 Sep. 1991
Nagoya University, Graduate School, Division of Natural Science, Mathematics

Apr. 1991 - Sep. 1991
Nagoya University, Graduate School, Division of Natural Science, Mathematics

01 Apr. 1989 - 31 Mar. 1991
Nagoya University, Graduate School, Division of Natural Science, Mathematics

Apr. 1989 - Mar. 1991
Nagoya University, Graduate School, Division of Natural Science, Mathematics

Apr. 1985 - Mar. 1989
Chiba University, Faculty of Science, Mathematics

Normal Hilbert coefficients and elliptic ideals in normal 2-dimensional singularities
Tomohiro Okuma; Maria Evelina Rossi; Kei-ichi Watanabe; K.Yoshida
Nagoya Math.J., Jan. 2023, Refereed

Lower bound on Hilbert-Kunz multiplicities and maximal F-signatures
Jack Jefferies; Yusuke Nakajima; Ilya Smirnov; Kei-ichi Watanabe; Ken-ichi Yoshida
Math.Proc.Camb.Phil.Soc., Jan. 2023, Refereed, Not invited

The normal reduction number of two-dimensional cone-like singularities
Okuma Tomohiro; Kei-ichi Watanabe and Ken-ichi Yoshida
Proc. Amer. Math. Soc., Nov. 2021, Refereed, Not invited
Last

Strong Rees property of powers of the maximal ideal and Takahashi-Dao's question
Tony J. Puthenpurakal; Kei-ichi Watanabe; Ken-ichi Yoshida
J. Algebra, Apr. 2021, Refereed, Not invited
Corresponding

Licci level Stanley-Reisner ideals with height three and with type two
Giancarlo Rinaldo; Naoki Terai; Ken-ichi Yoshida
Combinatorial Structures in Algebra and Geometry" NSA 26, Constanta, Romania, August 26–September 1, 2018, Sep. 2020, Refereed, Not invited

The almost Gorenstein property in Rees algebras of contracted ideals
Shiro Goto; Naoyuki Matsuoka; Naoki Taniguchi and Ken-ichi Yoshida
Kyoto Math. Journal, Dec. 2019, Refereed, Not invited

Cleanness of Cohen-Macaulay monomial ideal generated by at most five elements
Chihiro Enomoto and Ken-ichi Yoshida
Rendconti del Seminario Mathematico della Universita di Padova, Jul. 2019, Refereed, Not invited
Corresponding

The normal reduction numbers for hypersurfaces of Brieskorn type
Tomohiro Okuma; Kei-ichi Watanabe and Ken-ichi Yoshida
Acta Mathematica Vietnamica, Mar. 2019, Refereed, Not invited

Almost Gorensteinness of Rees algebras of p_g ideals, good ideals, and powers of the maximal ideals
Shiro Goto; Naoyuki Matsuoka; Naoki Taniguchi and Ken-ichi Yoshida
Michigan Math.J., Apr. 2018, Refereed, Not invited
Lead

A characterization of two-dimensional rational singularities via core of ideals
Tomohiro Okuma; Kei-ichi Watanabe; Ken-ichi Yoshida
Journal of Algebra, Apr. 2018, Refereed, Not invited

Ulrich modules over cyclic quotient surface singularities
Yusuke Nakajima; Ken-ichi Yoshida
JOURNAL OF ALGEBRA, Jul. 2017, Refereed, Not invited

On the most expected number of components for random links
Kazuhiro Ichihara; Ken-ichi Yoshida
Tohoku Math. J., Apr. 2017, Refereed, Not invited

ON THE MOST EXPECTED NUMBER OF COMPONENTS FOR RANDOM LINKS
Kazuhiro Ichihara; Ken-ichi Yoshida
TOHOKU MATHEMATICAL JOURNAL, 2017, Refereed, Not invited

Rees algebras and pg-ideals in a two-dimensional normal local domain
Tomohiro Okuma; Kei-Ichi Watanabe; Ken-Ichi Yoshida
Proceedings of the American Mathematical Society, 2017, Refereed, Not invited

A duality in Buchsbaum rings and triangulated manifolds
Satoshi Murai; Isabella Novik; Ken-ichi Yoshida
ALGEBRA & NUMBER THEORY, 2017, Refereed, Not invited

The almost Gorenstein Rees algebras over two-dimensional regular local rings
Shiro Goto; Naoyuki Matsuoka; Naoki Taniguchi; Ken-ichi Yoshida
JOURNAL OF PURE AND APPLIED ALGEBRA, Oct. 2016, Refereed, Not invited

Good ideals and pg-ideals in two-dimensional normal singularities
Tomohiro Okuma; Kei-ichi Watanabe; Ken-ichi Yoshida
manuscripta mathematica, Apr. 2016, Refereed, Not invited

The almost Gorenstein Rees algebras of parameters
Shiro Goto; Naoyuki Matsuoka; Naoki Taniguchi; Ken-ichi Yoshida
JOURNAL OF ALGEBRA, Apr. 2016, Refereed, Not invited

Ulrich ideals and modules over two-dimensional rational singularities
Shiro Goto; Kazuho Ozeki; Ryo Takahashi; K.-i.Watanabe; K.Yoshida
Nagoya Mathematical Journal, Jan. 2016, Refereed, Not invited
Lead

Arithmetical Rank of a Squarefree Monomial Ideal whose Alexander Dual is of Deviation Two
Kyouko Kimura; Naoki Terai; Ken-ichi Yoshida
Acta Mathematica Vietnamica, Sep. 2015, Refereed, Not invited

Multiplicity and Castelnuovo–Mumford Regularity of Stanley–Reisner Rings
Naoki Terai; Ken-ichi Yoshida
Acta Mathematica Vietnamica, Mar. 2015, Refereed, Not invited

On the most expected number of components for random links
Kazuhiro Ichihara; Ken-ichi Yoshida
数理解析所講究録 Intelligence of Low-dimensional Topology, Jan. 2015, Not refereed, Not invited

F-THRESHOLDS VERSUS a-INVARIANTS FOR STANDARD GRADED TORIC RINGS
Daisuke Hirose; Kei-ichi Watanabe; Ken-ichi Yoshida
COMMUNICATIONS IN ALGEBRA, Jun. 2014, Refereed, Not invited

Ulrich ideals and modules
Shiro Goto; Kazuho Ozeki; Ryo Takahashi; Kei-Ichi Watanabe; Ken-Ichi Yoshida
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, Jan. 2014, Refereed, Not invited

Licci squarefree monomial ideals generated in degree two or with deviation two
Kyouko Kimura; Naoki Terai; Ken-ichi Yoshida
Journal of Algebra, Sep. 2013, Refereed, Not invited

On the ratio of the multiplicity and the embedding dimension of Hibi rings
Takahiro Chiba; Kazunori Matsuda and Ken-ichi Yoshida
Proc.Inst.Nat.Sci.(Nihon Univ.), Jan. 2013, Refereed, Not invited
Corresponding

A variant of Wang's theorem
Kei-ichi Watanabe and Ken-ichi Yoshida
Journal of Algebra, Jan. 2012, Refereed, Not invited
Lead

Cohen-Macaulayness for symbolic power ideals of edge ideals
Giandarlo Rinaldo; Terai Naoki and Ken-ichi Yoshida
Journal of Algebra, Jan. 2011, Refereed, Not invited
Lead

On the second powers of Stanley-Reisner ideals
Giandarlo Rinaldo; Terai Naoki and Ken-ichi Yoshida
Journal of Commutative Algebra, Jan. 2011, Refereed, Not invited
Lead

Schmitt-Vogel type lemma for reductions
Kimura Kyouko; Terai Naoki and Ken-ichi Yoshida
Archiv der Mathematik, Jan. 2011, Refereed, Not invited
Lead

Diagonal F-thresholds on binomial hypersurfaces
Matsuda Kazunori; Ohtani Masahiro
Communications in Algebra, Jan. 2010, Refereed, Not invited
Lead

Effective Cowsik-Nori theorem for edge ideals
Crupi Marilena; Rinaldo Giancarlo; Terai Naoki
Communications in Algebra, Jan. 2010, Refereed, Not invited
Lead

Arithmetical rank of monomial ideals of deviation two
Kyouko Kimura; Naoki Terai
Combinatorial aspects of commutative algebra, Contemporary Mathematics, American Mathematical Society, Providence, RI, Jan. 2009, Refereed, Not invited
Lead

Test ideals vs. multiplier ideals
Mustata Mircea
Nagoya Mathematical Journal, Jan. 2009, Refereed, Not invited
Lead

Locally complete intersection Stanley-Reisner ideals
Terai Naoki
Illinois Journal of Mathmatics, Jan. 2009, Refereed, Not invited
Lead

Arithmetical rank of squarefree monomial ideals of small arithmetic degree
Kimura Kyouko; Terai Naoki
Journal of Algebraic Combinatorics, Jan. 2009, Refereed, Not invited
Lead

A note on Cohen-Macaulayness of Stanley-Reisner rings with Serre's condition (S2)
Naoki Terai
Communications in Algebra, Jan. 2008, Refereed, Not invited
Lead

Generalized test ideals and symbolic powers
Shunsuke Takagi
Michigan Mathematical Journal, Jan. 2008, Refereed, Not invited
Lead

Buchsbaum homogeneous algebras with minimal multiplicity
Shiro Goto
Journal of Pure and Applied Algebra, Jan. 2007, Refereed, Not invited
Lead

Arithmetical rank of squarefree monomial ideals
Kimura Kyouko; Terai Naoki
数理解析研究所講究録, 短期共同研究[代数、形式言語、計算システム理論とその応用], Jan. 2007, Not refereed, Not invited
Lead

Ideal-adic tight closures and its application
数理解析研究所講究録, 短期共同研究[Arc Spaces and Multiplier Ideals], Jan. 2007, Not refereed, Not invited
Lead

Stanley-Reisner rings with large multiplicities are Cohen-Macaulay
Naoki Terai
Journal of Algebra, Jan. 2006, Refereed, Not invited
Lead

Buchsbaum Stanley-Reisner rings and Cohen-Macaulay covers
Naoki Terai
Communications in Algebra, Jan. 2006, Refereed, Not invited
Lead

Buchsbaum Stanley-Reisner rings with minimal multiplicity
Naoki Terai
Proceedings of the American Mathematical Society, Jan. 2006, Refereed, Not invited
Lead

Stanley-Reisner rings with large multiplicities
Terai Naoki
数理解析研究所講究録, 短期共同研究[代数、言語、計算システムにおけるアルゴリズム問題], Jan. 2006, Not refereed, Not invited
Lead

Hilbert-Kunz multiplicity of three-dimensional local rings
Kei-ichi Watanabe
Nagoya Mathematical Journal, Jan. 2005, Refereed, Not invited
Lead

Minimal relative Hilbert-Kunz multiplicity
Kei-ichi Watanabe
Illinois Journal of Mathematics, Jan. 2004, Refereed, Not invited
Lead

Notes on Hilbert-Kunz multiplicity of Rees algebras
Kazufumi Eto
Communications in Algebra, Jan. 2003, Refereed, Not invited
Lead

A generalization of tight closure and multiplier ideals
Nobuo Hara
Transactions of the American Mathematical Society, Jan. 2003, Refereed, Not invited
Lead

Rees algebras of F-regular type
Nobuo Hara; Kei-ichi Watanabe
Journal of Algebra, Jan. 2002, Refereed, Not invited
Lead

F-rationality of Rees algebras
Nobuo Hara; Kei-ichi Watanabe
Journal of Algebra, Jan. 2002, Refereed, Not invited
Lead

Hilbert-Kunz multiplicity, McKay correspondence and good ideals in two-dimensional rational singularities
Kei-ichi Watanabe
Manuscripta Mathematica, Jan. 2001, Refereed, Not invited
Lead

Hilbert-Kunz multiplicity of two-dimensional local rings
Kei-ichi Watanabe
Nagoya Mathematical Journal, Jan. 2001, Refereed, Not invited
Lead

Hilbert-Kunz multiplicity and an inequality between multiplicity and colength
Kei-ichi Watanabe
Journal of Algebra, Jan. 2000, Refereed, Not invited
Lead

A note on Hilbert-Kunz multiplicity
数理解析研究所講究録, 短期共同研究[射影多様体の座標環の自由分解とその周辺の話題]., Jan. 1999, Not refereed, Not invited
Lead

Tensor products of perfect modules and maximal surjective Buchsbaum modules
K Yoshida
Journal of Pure and Applied Algebra 123, no.1-3, Jan. 1998, Refereed, Not invited
Lead

A generalization of linear Buchsbaum modules in terms of homological degree
K Yoshida
Communications in Algebra, Jan. 1998, Refereed, Not invited
Lead

A note on multiplicity of perfect modules of codimension one
K Yoshida
Communications in Algebra, Jan. 1997, Refereed, Not invited
Lead

Cofiniteness of local cohomology modules for ideals of dimension one
Nagoya Mathematical Journal 179-191, Jan. 1997, Refereed, Not invited
Lead

A note on minimal Cohen-Macaulay approximations
K Yoshida
Communications in Algebra, Jan. 1996, Refereed, Not invited
Lead

maximal surjective Buchsbaum module と perfect module のテンソル積
数理解析研究所講究録, 短期共同研究[次数付可換環のホモロジカルな性質の研究]., Jan. 1996, Not refereed, Not invited
Lead

Cohen-Macaulay symmetric algebras with maximal embedding dimension of almost complete intersection ideals
K YOSHIDA
Communications in Algebra, Jan. 1995, Refereed, Not invited
Lead

On linear maximal Buchsbaum modules and the syzygy modules
K YOSHIDA
Communications in Algebra, Jan. 1995, Refereed, Not invited
Lead

岩波数学辞典第４版(日本数学会編集)
Joint work
岩波書店, Mar. 2007, Not refereed

Normal tangent cone of the maximal ideal for a certain hypersurface
吉田健一; 渡辺敬一; 奥間智弘
日本数学会2024年日本数学会代数学分科会, Mar. 2024, Not invited

Normal tangent cones of symmetric numerical semigoup rings
吉田健一; 渡辺敬一; 奥間智弘
東京可換環論セミナー, Mar. 2024, Not invited

Gorenstein normal tangent cones
吉田健一; 渡辺敬一; 奥間智弘
第44回可換環論シンポジウム, Nov. 2023, Not invited

Gorenstein normal tangent cones
吉田健一; 渡辺敬一; 奥間智弘
日本数学会2023年秋季総合分科会, Sep. 2023, Not invited

Introduction to ring-theoretic properties of geometric ideals
Ken-ichi Yoshida
Mini workshop on singularities -Various aspects of singularities, Mar. 2023, Invited

Gorensteinness for normal tangent cones of the maximal ideals of Brieskorn hypersurfaces
吉田健一; 奥間智弘; 渡辺敬一
日本数学会総会代数学分科会, Mar. 2023, Not invited

Gorensteinness for normal tangent cones of geometric ideals
Ken-ichi Yoshida; Tomohiro Okuma; Kei-ichi Watanabe
第42回可換環論シンポジウム, Nov. 2022, Not invited

Gorensteinness for normal tangent cones of elliptic ideals
Okuma Tomohiro; Kei-ichi Watanabe and Ken-ichi Yoshida
日本数学会2022年度秋季総合分科会, Sep. 2022, Not invited

強楕円イデアルの正規ブローアップ代数の Gorenstein 性
吉田健一
特異点セミナー, May 2022, Not invited

Strongly elliptic ideals and the core of ideals
Ken-ichi Yoshida; Tomohiro Okuma; Kei-ichi Watanabe
The 42th Symposium on Commutative Algebra, Nov. 2021, Not invited

A note on core(m) of Gorenstein local rings of reduction exponent 2
吉田健一
可換環論オンラインセミナー, Jul. 2021, Not invited

Two normal reduction numbers
Ken-ichi Yoshida; Okuma Tomohiro and Kei-ichi Watanabe
日本数学会総会代数学分科会（Zoom, 慶応大学), Mar. 2021, Not invited

Strongly elliptic ideal
Ken-ichi Yoshida; Tomohiro Okuma; and Kei-ichi Watanabe
日本数学会総会代数学分科会（Zoom, 慶応大学), Mar. 2021, Not invited

Lower bound on Hilbert-Kunz multiplicities and,some related results
Ken-ichi Yoshida
IIT Bombay Virtual Commutative Algebra Seminar （Google meet), Dec. 2020, J.K.Verma

Two normal reduction numbers
Ken-ichi Yoshida
東大可換セミナー, May 2020, Invited

Normal reduction numbers of integrally closed ideals in a 2-dimensional cone-like singularities
渡辺敬一,奥間智弘,吉田健一
第41回可換環論シンポジウム, 倉敷シーサイドホテル（岡山県倉敷市）, Nov. 2019, Not invited

Ulrich 加群と正標数の不変量
吉田健一
第64回代数学シンポジウム, Sep. 2019, 金銅 誠之, Invited

Lower bound of Hilbert-Kunz multiplicities
Ken-ichi Yoshida
AMS Sectional Meeting AMS Special Session, Special Session on Commutative Algebra and its Environs, I, Mar. 2019, Invited

Lower bound of Hilbert-Kunz multiplicity
Kei-ichi Watanabe; Ken-ichi Yoshida
The 40th Japan Symposium on Commutative Algebra, Nov. 2018, Kazuma Shimomoto, Naoyuki Matsuoka, Ken-ichi Yoshida, Not invited

Normal reduction numbers of some 2-dimensional normal hypersurfaces
Ken-ichi Yoshida
Oscar19, Jan. 2018, Invited

Normal reduction numbers of integrally closed ideals
Tomohiro Okuma; Kei-ichi Watanabe; Ken-ichi Yoshida
The 39th Japan Symposium on Commutative Algebra, Nov. 2017, Hidefumi Ohsugi, Shunsuke Takagi, Ryo Takahashi, Not invited

Strong Rees property for powers of the maximal ideal
Kei-ichi Watanabe; Ken-ichi Yoshida
日本数学会秋季総合分科会, Sep. 2017, Not invited

Characteristic p>0 methods in commutative algebra
Ken-ichi Yoshida
International School and Workshop on commutative algebra -by and for young mathematicians-, Sep. 2017, Invited

Dao's question and strong Rees property
吉田健一
第2９回可換環論セミナー, Feb. 2017, Not invited

Introduction to Ulrich modules and ideals
Ken-ichi Yoshida
RIMS研究集会, Non-commutative crepant resolutions, Ulrich modules and generalizations of the McKay correspondence, Jun. 2016, Not invited

Almost Gorenstein Rees algebras of powers of integrally closed ideal
Ken-ichi Yoshida
International Conference and the 8th Japan-Vietnam joint seminar on Commutative Algebra, Mar. 2016, Not invited

２次元特異点の整閉イデアルのcore と， 有理特異点の特徴付け
渡辺敬一,奥間智弘,吉田健一
日本数学会２０１６年度年回, Mar. 2016, Not invited

ランダム絡み目の最頻成分数と双曲性
市原一裕,吉田健一
日本数学会２０１６年度年回, Mar. 2016, Not invited

２次元特異点の整閉イデアルのcore と，有理特異点の特徴付け
渡辺敬一; 奥間智弘; 吉田健一
日本数学会２０１６年度年回, Mar. 2016, Not invited

The almost Gorenstein Rees algebras of contracted ideals
後藤四郎; 松岡直之; 谷口直樹; 吉田健一
日本数学会２０１６年度年回, Mar. 2016, Not invited

生成系の少ない単項式イデアルの clean 性について
榎本ちひろ; 吉田健一
第28回可換環論セミナー, Jan. 2016, Not invited

Almost Gorenstein Rees algebras of powers of maximal ideals
Ken-ichi Yoshida
Workshop on Commutative Algebra -Part II, Local algebra and Representation theory -, Jan. 2016, Invited

Almost Gorenstein Rees algebras of some integrally closed ideals
Shiro Goto; Naoyuki Matsuoka; Naoki Taniguchi; Ken-ichi Yoshida
The 37th Japan Symposium on Commutative Algebra, Nov. 2015, Mitsuyasu Hashimoto, Tokuji Araya, yuji Yoshino, Not invited

A characterization of 2-dimensional rational singularities via Core of ideals
Tomohiro Okuma; Kei-ichi Watanabe; Ken-ichi Yoshida
The 37th Japan Symposium on Commutative algebras, Nov. 2015, Not invited

The almost Gorenstein Rees algebras of socle ideals
Shiro Goto; Naoyuki Matsuoka; Naoki Taniguchi; Ken-ichi Yoshida
The 37th Japan Symposium on Commutative algebra, Nov. 2015, Mitsuyasu Hashimoto, Tokuji Araya, Yuji Yohsino, Not invited

日本数学会2015年秋季総合分科会代数学分科会, 京都産業大（京都府京都市）
吉田健一; 後藤四郎; 谷口直樹
日本数学会2015年秋季総合分科会代数学分科会, Sep. 2015, Not invited

The almost Gorenstein Rees algebras of socle ideals
谷口直樹; 後藤四郎; 吉田健一
日本数学会2015年秋季総合分科会代数学分科会, Sep. 2015, Not invited

Almost Gorensteinness of Rees algebras of pg-ideals
吉田健一
第25回可換環論セミナー, Jan. 2015, Not invited

Integrally closed ideals of 2-dimensional normal singularities
奥間智弘; 渡辺敬一; 吉田健一
第36回可換環論シンポジウム, Nov. 2014, Not invited

Ulrich ideals and modules of simple singularities
Ken-ichi Yoshida
International conference on COMMUTATIVE ALGEBRA and its Interaction to Algebraic Geometry and Combinatorics, Dec. 2013, Invited

Good ieals on 2-dimesnsional normal singularities
Kei-ichi Watanabe; Tomohiro Okuma; Ken-ichi Yoshida
RIMS workshop, The 35th Japan Symposium on Commutative Algebra, Dec. 2013, Not invited

Ulrich ideals on hypersurfaces
Ken-ichi Yoshida; Shiro Goto; Kazuho Ozeki; Ryo Takahashi; Kei-ichi Watanabe
RIMS workshop, The 35th Japan Symposium on Commutative Algebra, Dec. 2013, Not invited

単純特異点上の Ulrich 加群と Ulrich イデアル
吉田健一
第58回代数学シンポジウム, Aug. 2013, Invited

2次元有理特異点上の Ulrich イデアル, 加群
後藤四郎; 大関一秀; 高橋亮; 渡辺敬一
日本数学会年会代数学分科会, Mar. 2013, Not invited

2次元巡回商特異点上のUlrich, Special 加群
第25回可換環論セミナー, Feb. 2013, 飯間圭一郎（奈良工業高専） 川崎謙一郎（奈良教育大学）, Not invited

Ulrich ideals and modules of 2-dimensional rational singularities, I
S.Goto; K.Ozeki; R.Takahashi; K.-i.Watanabe
The 34th Symposium on Commutative Algebra in Japan, Nov. 2012, Shiro Goto, Takeshi Kawasaki, Not invited

Ulrich ideals and modules of 2-dimensional rational singularities, II
S.Goto; K.Ozeki; R. Takahashi; K.-i.Watanabe
The 34th Symposium on Commutative Algebra in Japan, Nov. 2012, Shiro Goto, Takeshi Kawasaki, Not invited

Ulrich modules and Special modules over 2-dimensional rational singularities
渡辺敬一
第45回環論及び表現論シンポジウム, Sep. 2012, Not invited

Special Cohen-Macaulay modules and ideals
明治大学可換環論セミナー, Jul. 2012, 後藤四郎, Not invited

F-thresholds on toric rings
Kei-ichi Watanabe
The 33rd Symposium on Commutative Algebra in Japan, Nov. 2011, 橋本光靖(名古屋大学多元数理)，吉田健一(名古屋大学多元数理), Not invited

Wang の定理とテストイデアル
渡辺敬一
日本数学会代数学分科会, Mar. 2011, Not invited

斉次トーリック環におけるF-threshold とa-invariant の比較
第23回可換環論セミナー, Feb. 2011, Not invited

A positive characteristic approach to Wang's theorem
Kei-ichi Watanabe (Nihon Univ.)
The 32nd Symposium and The 6th Japan-Vietnam Joint Seminar, Dec. 2010, Not invited

The second power of Stanley-Reisner ideals
Naoki Terai (Saga Univ.)
The 32nd Symposium and The 6th Japan-Vietnam Joint Seminar, Dec. 2010, Not invited

squarefree monomial ideal のべきについて
Naoki Terai (Saga Univ.)
第22回可換環論セミナー, Feb. 2010, Not invited

Cohen-Macaulayness for symbolic power ideals of edge ideals
Naoki Terai (Saga Univ.)
The 31rd Symposium on Commutative Algebra in Japan, Nov. 2009, Not invited

On Cowsik-Nori theorem for Stanley-Reisner ideals and edge ideals
1 Prima Congress,University of New South Wales (Sydney, Australia), Jul. 2009, Not invited

Small Hilbert-Kunz multiplicity and A1-type singularity
The 4th Japan-Vietnam joint seminar on commutative algebra, Feb. 2009, Not invited

edge ideal の巾の Cohen--Macaulay 性について
第21回可換環論セミナー, Jan. 2009, Not invited

ideal-adic tight closure の局所化について
Naoki Terai (Saga Univ.)
第21回可換環論セミナー, Jan. 2009, Not invited

算術次数がイニシャル次数より２だけ大きい squarefree monomial ideal の算術階数について
Kyouko Kimura (Sizuoka Univ.); Naoki Terai (Saga Univ.)
日本数学会2008年度年会代数学分科会, Mar. 2008, Not invited

Some properties of generalized test ideals
International conference on Yokohama, Mar. 2008, Not invited

Asymptotic behavior of certain squarefree monomial ideals
The Third Japan Vietnam joint seminar, Dec. 2007, Not invited

Stanley-Reisner ideals which are complete intersections locally
Naoki Terai (Saga Univ.)
The 29th Symposium on Commutative Algebra in Japan, Nov. 2007, Not invited

Any ideal in an F-finite RLR is a test ideal
日本数学会2007年度年会代数学分科会, Mar. 2007, Not invited

Uniform test exponent for ideal-adic tight closures of parameter ideals
The 28th Symposium on Commutative Algebra in Japan, Nov. 2006, Not invited

Buchsbaum rings with minimal multiplicity
The Second Japan-Vietnam Joint Seminar on Commutative Algebra, Mar. 2006, Not invited

重複度の小さい Stanley--Reisner ring の Castelnuovo-Mumford regularity について
Naoki Terai (Saga Univ.)
第18回可換環論セミナー, Feb. 2006, Not invited

Buchsbaum rings with minimal multiplicity
Shiro Goto (Meiji Univ.)
The 27th Symposium on Commutative Algebra in Japan, Nov. 2005, Not invited

Stanley-Reisner rings with dim k[Δ]=indeg k[Δ]
Naoki Terai (Saga Univ.)
The 27th Symposium on Commutative Algebra in Japan, Nov. 2005, Not invited

特別講演 multiplicity と tight closure
日本数学会2005年度秋季総合分科会代数学分科会, Sep. 2005, Not invited

Stanley-Reinser rings and multiplicities
Commutative Algebra Conference, 2005, May 2005, Not invited

十分大きな重複度を持つ Buchsbaum Stanley-Reisner 環の Cohen--Macaulay 性について
Naoki Terai (Saga Univ.)
第17回可換環論セミナー, Jan. 2005, Not invited

線型自由分解を持つ Buchsbaum Stanley-Reisner 環について
Naoki Terai (Saga Univ.)
第17回可換環論セミナー, Jan. 2005, Not invited

On Buchsbaum Stanley-Reisner rings having linear resolution with given parameters
Naoki Terai (Saga Univ.)
日本数学会2004年度年会代数学分科会, Mar. 2004, Not invited

Buchsbaum Stanley-Reisner rings and multiplicities
Naoki Terai (Saga Univ.)
The 26th Symposium on Commutative Algebra in Japan, Mar. 2004, Not invited

Recent developments on Hilbert-Kunz multiplicities
Kei-ichi Watanabe (Nihon Univ.)
The 25th Symposium and The 6th Japan-Vietnam Joint Seminar, Nov. 2003, Not invited

Buchsbaum Stanley--Reisner rings with linear resolution
Naoki Terai (Saga Univ.)
The 25th Symposium on Commutative Algebra in Japan, Nov. 2003, Not invited

３次元局所環の Hilbert-Kunz 重複度
Kei-ichi Watanabe (Nihon Univ.)
日本数学会2003年度秋季総合分科会代数学分科会, Sep. 2003, Not invited

A theory of multiplicities in positive characteristic
Commutative Algebra with emphasis on interactions with Algebraic Geometry, Jun. 2003, Not invited

A generalization of tight closures, II ～ Blow-up algebras
Commutative Algebra with emphasis on interactions with Algebraic Geometry, Jun. 2003, Not invited

Hilbert-Kunz 重複度の下限について
第15回可換環論セミナー, Jan. 2003, Not invited

Hilbert-Kunz 重複度の下からの評価について
多項式環とその周辺の研究, Jan. 2003, Not invited

正則局所環の a-tight closure について
The 24th Symposium on Commutative Algebra in Japan, Nov. 2002, Not invited

Tight Closure の一般化と multiplier ideal
都立大学談話会, Oct. 2002, Not invited

tight closure の一般化と Rees 代数
Nobuo Hara (Tohoku Univ.)
日本数学会2002年度年会代数学分科会, Mar. 2002, Not invited

tight closure の一般化と multiplier ideal
Nobuo Hara (Tohoku Univ.)
日本数学会2002年度年会代数学分科会, Mar. 2002, Not invited

tight closure の一般化と Rees 代数
第14回可換環論セミナー, Jan. 2002, Not invited

商特異点の minimal Hilbert-Kunz multiplicity
Kei-ichi Watanabe
The 23rd Symposium on Commutative Algebra in Japan, Nov. 2001, 橋本光靖(名古屋大学多元数理)，吉田健一(名古屋大学多元数理), Not invited

F-rationality of Rees algebras and related results
Conference of Commutative Algebra 2001, Aug. 2001, Not invited

On invariants of local rings of positive characteristic
第46回代数学シンポジウム, Aug. 2001, Not invited

F-rationality of Rees algebras
第13回可換環論セミナー, Feb. 2001, Not invited

整閉イデアルの正規還元種数と正規正接錐の研究
日本学術振興会, 科学研究費助成事業, Apr. 2024 - Mar. 2027
吉田 健一

整閉イデアルを用いた正標数の特異点の研究
日本学術振興会, 科学研究費助成事業, 01 Apr. 2019 - 31 Mar. 2023
吉田 健一

Stanley-Reisner イデアルの算術階数とその記号的べきの射影次元
日本学術振興会, 科学研究費助成事業, 01 Apr. 2018 - 31 Mar. 2023
寺井 直樹; 木村 杏子; 吉田 健一; 宮崎 誓

Research on rational singularities and almost Gorenstein blow-up algebras
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 01 Apr. 2016 - 31 Mar. 2019
YOSHIDA Ken-ichi

Commutative Ring Theory of Singularities
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 01 Apr. 2014 - 31 Mar. 2018
WATANABE Keiichi

Arithmetical rank of Stanley-Reisner ideals and projective dimension of their powers
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 01 Apr. 2014 - 31 Mar. 2017
Terai Naoki; YOSHIDA KENICHI; YANAGAWA KOUJI; KIMURA KYOUKO

Non-commutative crepant resolution, Orbifold cohomology and generalization of the McKay correspondence
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 28 Apr. 2011 - 31 Mar. 2017
Ito Yukari; ISHII Akira; YOSHIDA Ken-ichi; YASUDA Takehiko; CRAW Alastair; WEMYSS Michael

Maximal Cohen-Macaulay modules over singularities of positive characteristic
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 01 Apr. 2013 - 31 Mar. 2016
YOSHIDA Ken-ichi; HASHIMOTO Mitsuyasu; TAKAGI Shunsuke

Commutative Ring Theory of Singularities of Algebraic Varieties
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2011 - 2013
WATANABE Kei-ichi; YOSHIDA Ken-ichi; KURANO Kazuhiko; TAKAGI Shunsuke

Minimal free resolutions and the arithmetical rank of Stanley-Reisner ideals
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2011 - 2013
TERAI Naoki; UEHARA Tsuyoshi; ICHIKAWA Takashi; MIYAZAKI Chikashi; KAWAI Shigeo; YOSHIDA Kenichi; YANAGAWA Kouji; KIMURA Kyouko; MURAI Satoshi

Research of ring-invariants associated to powers of ideals
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2010 - 2012
YOSHIDA Ken-ichi; HASHIMOTO Mitsuyasu; IYAMA Osamu; TERAI Naoki

Invariant theory which uses equivariant sheaves
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2010 - 2012
HASHIMOTO Mitsuyasu; YOSHIDA Ken-ichi; MIYAZAKI Mitsuhiro; KURANO Kazuhiko

Characteristic p method in singularity theory
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2008 - 2010
WATANABE Keichi; TOMARI Masataka; YOSHIDA Kennichi; FUKUDA Takuo; KURANO Kazuhiko; TAKAGI Shunsuke

Research of multiplier ideals and tight closures from viewpoint of commutative algebra and computational algebra
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2007 - 2009
YOSHIDA Ken-ichi; HASHIMOTO Mitsuyasu; IYAMA Osamu; FUJINO Osamu; TERAI Naoki

Closure operations and actions of algebraic groups
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2006 - 2009
HASHIMOTO Mitsuyasu; YOSHIDA Ken-ichi; OKADA Soichi; IYAMA Osamu; HAYASHI Takahiro; KURANO Kazuhiko

Algebro-Geometric Approach to Invariants in Commutative Algebra
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2006 - 2008
HARA Nobuo; ISHIDA Masanori; OGATA Shoetsu; KAJIWARA Takeshi

Study on minimal free resolution of Stanley-Reisner rings
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2006 - 2007
TERAI Naoki; NAKAHARA Tohru; UEHARA Tsuyoshi; ICHIKAWA Takashi; YOSHIDA Ken-ichi; YANAGAWA Kohji

Singurality Theory and Frobenius Morphism
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2005 - 2007
WATANABE Keiichi; TOMARI Masataka; FUKUDA Takuo; KURANO Kazuhiko; YOSHIDA Kenichi; TAKAGI Shunsuke

Research for multiplicities and tight closures on singular points of positive characteristic
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2004 - 2006
YOSHIDA Kenichi; HASHIMOO Mitsuyasu; ITO Yukari; WATANABE Kei-ichi

Study on minimal free resolution of Stanley-Reisner rings
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2004 - 2005
TERAI Naoki; TANAKA Tatsuji; NAKAHARA Tohru; ICHIKAWA Takashi; YOSHIDA Ken-ichi; YANAGAWA Kohji

Applications of tight closure and F-singularity to algebraic geometry
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2004 - 2005
HARA Nobuo; ISHIDA Masanori; KAJIWARA Takeshi; WATANABE Kei-ichi; YOSHIDA Ken-ichi

Duality of sheaves with actions
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2003 - 2005
HASHIMOTO Mitsuyasu; OKADA Soichi; HAYASHI Takahiro; YOSHIDA Ken-ichi; KURANO Kazuhiko; MIYAZAKI Mitsuhiro

On ring-theoretical properties of blow-up rings over singular points in positive characteristic
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2002 - 2003
YOSHIDA Ken-ichi; WATANABE Kei-ichi; HASHIMOTO Mitsuyasu; OKADA Soichi

Algebro-Geometric Method in Commutative Algebra
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2001 - 2003
HARA Nobuo; YOSHIDA Ken-ichi; WATANABE Kei-ichi

On ring-theoretical invariants of singular points in positive characteristic
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 1999 - 2001
YOSHIDA Kenichi; MUKAI Shigeru; HASHIMOTO Mitsuyasu; OKADA Soichi

Good filtrations and rings of invariants
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 1998 - 2000
HASHIMORO Mitsuyasu; YOSHIDA Ken-ichi; OKADA Soichi; HAYASHI Takahiro

On the roles of generalized linear CM modules in commutative ring theory
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 1997 - 1998
YOSHIDA Ken-ichi; HASHIMOTO Mitsuyasu; OKADA Soichi; MUKAI Shigeru

古典群・量子群の表現論とYoung図形の組合せ論
日本学術振興会, 科学研究費助成事業, 1996 - 1996
岡田 聡一; 吉田 健一; 林 孝宏; 寺西 鎮男; 向井 茂

グラフのスペクトルと不変式論
日本学術振興会, 科学研究費助成事業, 1994 - 1994
寺西 鎮男; 吉田 健一; 岡田 聡一; 林 孝宏; 浪川 幸彦; 向井 茂