OZEKI Kazuho

College of Humanities and Sciences Department of MathematicsProfessor

Degree

  • Mar. 2009

Field Of Study

  • Natural sciences, Algebra

Career

  • Apr. 2023 - Present
    Nihon University, College of Humanities and Sciences, Department of Mathematics, Professor
  • Apr. 2016 - Mar. 2023
    山口大学 大学院 創成科学研究科, 准教授
  • Oct. 2012 - Mar. 2016
    Yamaguchi University, Graduate School of Science and Engineering, 講師
  • Apr. 2012 - Sep. 2012
    Meiji University, School of Science and Technology, 助教
  • Apr. 2011 - Mar. 2012
    Meiji University, Organization for the Strategic Coordination of Research and Intellectual Properties, ポスト・ドクター
  • Apr. 2009 - Mar. 2011
    Meiji University, Organization for the Strategic Coordination of Research and Intellectual Properties, 研究推進員
  • Apr. 2006 - Mar. 2009
    Meiji University, School of Science and Technology, 専任助手

Paper

  • The reduction number of stretched ideals
    Kazuho OZEKI
    Journal of the Mathematical Society of Japan, Oct. 2022, Refereed, Not invited
    Lead
  • On Hilbert coefficients and sequentially Cohen-Macaulay rings
    Kazuho Ozeki; Hoang LeTruong; Hoang Ngoc Yen
    Proceedings of the American Mathematical Society, Mar. 2022, Refereed
    Lead
  • The First Hilbert Coefficient of Stretched Ideals
    Kazuho Ozeki
    Acta Mathematica Vietnamica, Feb. 2022, Refereed, Invited
    Lead
  • A filtration of the Sally module and the first normal Hilbert coefficient
    Shreedevi K. Masuti; Kazuho Ozeki; Maria Evelina Rossi
    Journal of Algebra, Apr. 2021, Refereed, Invited
  • On the structure of the Sally module and the second normal Hilbert coefficient
    Shreedevi. K. Masuti; Kazuho Ozeki; Maria E. Rossi; Hoang L. Truong
    Proceedings of American Mathematical Society, Jul. 2020, Refereed, Not invited
    Corresponding
  • THE STRUCTURE OF THE SALLY MODULE OF INTEGRALLY CLOSED IDEALS
    Kazuho Ozeki; Maria Evelina Rossi
    NAGOYA MATHEMATICAL JOURNAL, Sep. 2017, Refereed, Not invited
    Lead
  • ULRICH IDEALS AND MODULES OVER TWO-DIMENSIONAL RATIONAL SINGULARITIES
    Shiro Goto; Kazuho Ozeki; Ryo Takahashi; Kei-ichi Watanabe; Ken-ichi Yoshida
    NAGOYA MATHEMATICAL JOURNAL, Mar. 2016, Refereed, Not invited
  • Sectional genera of parameter ideals
    Shiro Goto; Kazuho Ozeki
    JOURNAL OF ALGEBRA, Jan. 2016, Refereed, Not invited
    Last
  • The second Hilbert coefficients and the homological torsions of parameters
    Shiro Goto; Kazuho Ozeki
    JOURNAL OF PURE AND APPLIED ALGEBRA, May 2015, Refereed, Not invited
    Last
  • The Chern Numbers and Euler Characteristics of Modules
    L. Ghezzi; S. Goto; J. Hong; K. Ozeki; T. T. Phuong; W. V. Vasconcelos
    Acta Mathematica Vietnamica, Mar. 2015, Refereed, Invited
  • The first Euler characteristics versus the homological degrees
    Shiro Goto; Kazuho Ozeki
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, Dec. 2014, Refereed, Invited
    Last
  • 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
  • THE STRUCTURE OF SALLY MODULES AND BUCHSBAUMNESS OF ASSOCIATED GRADED RINGS
    Kazuho Ozeki
    NAGOYA MATHEMATICAL JOURNAL, Dec. 2013, Refereed, Not invited
    Lead
  • The equality of Elias-Valla and the associated graded ring of maximal ideals
    Kazuho Ozeki
    JOURNAL OF PURE AND APPLIED ALGEBRA, Jun. 2012, Refereed, Not invited
    Lead
  • Variation of the first Hilbert coefficients of parameters with a common integral closure
    L. Ghezzi; S. Goto; J. Hong; K. Ozeki; T. T. Phuong; W. V. Vasconcelos
    JOURNAL OF PURE AND APPLIED ALGEBRA, Jan. 2012, Refereed, Not invited
  • Uniform bounds for Hilbert coefficients of parameters
    Shiro Goto; Kazuho Ozeki
    COMMUTATIVE ALGEBRA AND ITS CONNECTIONS TO GEOMETRY, 2011, Refereed, Not invited
    Last
  • The structure of Sally modules - towards a theory of non-Cohen-Macaulay cases
    Shiro Goto; Kazuho Ozeki
    JOURNAL OF ALGEBRA, Nov. 2010, Refereed, Not invited
    Last
  • BUCHSBAUMNESS IN LOCAL RINGS POSSESSING CONSTANT FIRST HILBERT COEFFICIENTS OF PARAMETERS
    Shiro Goto; Kazuho Ozeki
    NAGOYA MATHEMATICAL JOURNAL, Sep. 2010, Refereed, Not invited
    Last
  • Cohen-Macaulayness versus the vanishing of the first Hilbert coefficient of parameter ideals
    L. Ghezzi; S. Goto; J. Hong; K. Ozeki; T. T. Phuong; W. V. Vasconcelos
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, Jun. 2010, Refereed, Not invited
  • Sally modules of rank one
    Shiro Goto; Koji Nishida; Kazuho Ozeki
    MICHIGAN MATHEMATICAL JOURNAL, 2008, Refereed, Invited
    Last
  • The structure of sally modules of rank one
    Shiro Goto; Koji Nishida; Kazuho Ozeki
    Mathematical Research Letters, 2008, Refereed, Not invited
    Last
  • On m-primary ideals with the small first Hilbert coefficients
    Shiro Goto; Kazuho Ozeki
    Research reports,School of Science and Technology,Meiji University, 2007, Refereed, Not invited
    Last

MISC

  • The first Euler characteristic and the depth of associated graded rings
    KAZUHO OZEKI
    Proceedings of the 55th Symposium on Ring Theory and Representation Theory, Feb. 2024, Not refereed, Not invited
  • The reduction number of stretched ideals
    Kazuho Ozeki
    Proceedings of the 54th Symposium on Ring Theory and Representation Theory, Feb. 2023, Not refereed, Not invited
    Lead
  • The structure of Sally modules and normal Hilbert coefficients
    Kazuho Ozeki
    Proceedings of the 52nd Symposium on Ring and Representation Theory, Feb. 2020, Not refereed, Not invited
    Lead
  • On the structure of the Sally module and the second normal Hilbert coefficient
    Kazuho Ozeki
    Proceedings of the 41st Symposium on Commutative Algebra, Jan. 2020, Not refereed, Not invited
    Lead
  • A filtration of the Sally module and the first normal Hilbert coefficient
    Kazuho Ozeki
    第40回可換環論シンポジウム報告集, Jan. 2019, Not refereed, Not invited
  • The first Hilbert coefficient and Buchsbaumness of associated graded rings
    Kazuho Ozeki
    Proceeding of the 38th Symposium on Commutative Algebra, 2017, Not refereed, Not invited
  • The sectional genera and the second Hilbert coefficients of parameter ideals
    Shiro Goto; Kazuho Ozeki
    Proceeding of the 36th Symposium on Commutative Algebra, 2015, Not refereed, Not invited
  • The structure of Sally modules and Buchsbaumness of associated graded rings
    Kazuho Ozeki
    Proceedings of The 7th Japan-Vietnam Joint Seminar on Commutative Algebra, 2012, Not refereed, Not invited
  • Sharp bounds for the Hilbert coefficients of parameter ideals
    Kazuho Ozeki
    Proceedings of the 44th Symposium on Ring Theory and Representation Theory, 2012, Not refereed, Not invited
  • The equality of Elias and Valla and Buchsbaumness of associated graded rings
    Kazuho Ozeki
    Proceeding of the 33rd Symposium on Commutative Algebra, 2012, Not refereed, Not invited
  • 第1ヒルベルト係数によるイデアルの分類について
    大関 一秀
    第7回数学総合若手研究集会テクニカルレポート 北海道大学講究録, 2011, Not refereed, Not invited
  • The first Hilbert coefficients of parameters
    Kazuho Ozeki
    Proceedings of the 43rd Symposium on Ring Theory and Representation Theory, 2011, Not refereed, Not invited
  • 巴系イデアルの第1ヒルベルト係数による局所環の分類について
    大関 一秀
    第22回可換環論セミナー報告集, 2010, Not refereed, Not invited
  • On the structure of Sally modules of rank one
    Kazuho Ozeki
    Proceedings of the 42nd Symposium on Ring Theory and Representation Theory, 2010, Not refereed, Not invited
  • 巴系イデアルの第1ヒルベルト係数の挙動と基礎環の構造について
    大関 一秀
    第6回数学総合若手研究集会テクニカルレポート,北海道大学講究録, 2010, Not refereed, Not invited
  • Cohen-Macaulayness versus the vanishing of the first Hilbert coefficient of parameters
    Kazuho Ozeki
    Proceeding of the 31st Symposium on Commutative Algebra, 2010, Not refereed, Not invited
  • The structure of Sally modules of rank one –non-Cohen-Macaulay cases-
    Kazuho Ozeki
    Proceedings of The 4th Japan-Vietnam Joint Seminar on Commutative Algebra, 2009, Not refereed, Not invited
  • 階数が1のSally加群の構造
    大関 一秀
    第20回可換環論セミナー報告集, 2009, Not refereed, Not invited
  • Sally modules of rank one
    Kazuho Ozeki
    Proceeding of the 30th Symposium on Commutative Algebra, 2009, Not refereed, Not invited

Lectures, oral presentations, etc.

  • The structure of associated graded ring of stretched m-primary ideals
    Kazuho Ozeki
    Interactions of Commutative Algebra, Representation Theory, and Combinatorics in Bangkok, Nov. 2024, Invited
  • The first Euler characteristic and the depth of associated graded ring
    大関 一秀
    特異点セミナー, Oct. 2023, Invited
  • 第1オイラー標数と随伴次数環の深さについて
    大関 一秀
    日本数学会2023年度秋季総合分科会, Sep. 2023, 日本数学会, Not invited
  • The first Euler characteristic and the depth of associated graded ring
    Kazuho Ozeki
    第55回環論および表現論シンポジウム, Sep. 2023, Not invited
  • The first Hilbert coefficient and the reduction number of stretched ideals
    Kazuho Ozeki
    The Ninth China-Japan-Korea International Conference on Ring and Module Theory, Aug. 2023, Invited
  • The first Euler characteristic and the depth of associated graded rings
    Kazuho Ozeki
    The 43rd Japan Symposium on Commutative Algebra, Nov. 2022, Not invited
  • The first Hilbert coefficient of stretched ideals
    Kazuho Ozeki
    日本数学会2022年度秋季総合分科会, Sep. 2022, Mathematical Society of Japan, Not invited
  • The reduction number of stretched ideals
    Kazuho Ozeki
    第54回環論および表現論シンポジウム, Sep. 2022, Not invited
  • 可換環論 -局所環のヒルベルト函数について-
    大関 一秀
    東京理科大学理工学部数学科2022年度第2回談話会, Jun. 2022, Invited
  • Stretched idealの第1ヒルベルト係数について
    大関 一秀
    東京可換環論セミナー, Apr. 2022, Invited
  • The reduction number of stretched ideals
    大関一秀
    日本数学会2021年度秋季総合分科会, Sep. 2021, 日本数学会, Not invited
  • Stretched idealの随伴次数環の構造について
    大関 一秀
    オンライン可換環論セミナー2021, Jul. 2021, Not invited
  • The reduction number of stretched ideals
    Kazuho Ozeki
    Virtual Commutative Algebra Seminars, IIT Bombay (online), Mar. 2021, Invited
  • A study of the structure of Sally modules-Research talk
    Kazuho Ozeki
    WVU Algebra Seminar via ZOOM, Oct. 2020, West Virginia University (USA), Invited
  • A study of the structure of Sally modules-Introductory talk
    Kazuho Ozeki
    WVU Algebra Seminar via ZOOM, Oct. 2020, West Virginia University (USA), Invited
  • Sally modules of stretched m-primary ideals
    Kazuho Ozeki
    東京可換環論セミナー, Jul. 2020, Invited
  • On the structure of the Sally module and the second normal Hilbert coefficient
    S. Masuti, K. Ozeki, M. E. Rossi, and H. L. Truong
    日本数学会2020年度年会, Mar. 2020, The Mathematical Society of Japan, Not invited
  • On the structure of the Sally module and the second normal Hilbert coefficient
    Kazuho Ozeki
    The 41st Symposium on Commutaive Algebra, Nov. 2019, Not invited
  • The structure of Sally modules and normal Hilbert coefficients
    Kazuho Ozeki
    The 8th China-Japan-Korea International Symposium on Ring Theory, Aug. 2019, Not invited
  • 第2正規ヒルベルト係数について
    大関 一秀
    第32回可換環論セミナー, Jun. 2019, Not invited
  • The structure of Sally modules and the second normal Hilbert coefficient
    Kazuho Ozeki
    Special Session on Commutative Algebra and its Environs at the Spring Central and Western Joint Sectional Meeting of the AMS, Mar. 2019, American Mathematical Society, Invited
  • A filtration of the Sally module and the first normal Hilbert coefficient
    S. K. Masuti; K. Ozeki; M. E. Rossi
    日本数学会2019年度年会, Mar. 2019, The Mathematical Society of Japan, Not invited
  • A filtration of the Sally module and the first normal Hilbert coefficient
    Kazuho Ozeki
    The 40th Symposium on Commutative Algebra in Japan, Nov. 2018, Not invited
  • A study of the first and second normal Hilbert coefficients
    Kazuho Ozeki
    The 10th Japan-Vietnam Joint Seminar on Commutative Algebra, Sep. 2018, Invited
  • 正規化されたヒルベルト函数について
    大関 一秀
    第63回代数学シンポジウム, Sep. 2018, Invited
  • A study of the second normal Hilbert coefficient
    Kazuho Ozeki
    Mini-Workshop on Commutative Algebra, Mar. 2018, Invited
  • Almost minimal normal Hilbert coefficients
    Kazuho Ozeki
    International Conference on Commutative Algebra and its interaction to Combinatorics, Discrete Geometry and Singularity Theory, Sep. 2017, Invited
  • The structure of the Sally modules of integrally closed ideals
    Kazuho Ozeki
    Algebra & Geometry Seminar, Mar. 2017, Invited
  • The first Hilbert coefficient and Buchsbaumness of associated graded rings
    Kazuho Ozeki
    International Workshop on Commutative Algebra, Jan. 2017, Invited
  • The first Hilbert coefficient and Buchsbaumness of associated graded rings
    Kazuho Ozeki
    The 38th Symposium on Commutative Algebra, Nov. 2016, Not invited
  • The first two Hilbert coefficients and Buchsbaumness of associated graded rings
    Kazuho Ozeki
    Japan-Vietnam Workshop on Commutative Algebra –by and for young mathematicians- Local rings Combinatorics, and Representation Theory, Sep. 2016, Invited
  • The structure of the Sally modules of integrally closed ideals
    Kazuho Ozeki
    The 49th Symposium on Ring Theory and Representation Theory, Aug. 2016, Not invited
  • 整閉イデアルのSally加群の構造について
    大関 一秀
    日本数学会2016年度年会, Mar. 2016, Not invited
  • Cohen-Macaulay rings and modules
    Kazuho Ozeki
    The first School on Commutative Algebra Thai Nguyen University, Mar. 2016, Invited
  • System of parameters, regular sequences, and depth_RM
    Kazuho Ozeki
    The first School on Commutative Algebra Thai Nguyen University, Mar. 2016, Invited
  • The structure of the Sally module and the first Hilbert coefficient of ideals
    Kazuho Ozeki
    Work shop on Commutative Algebra –Part II, Local Algebra and Representation theory-, Jan. 2016, Invited
  • The structure of the Sally module of integrally closed ideals
    Kazuho Ozeki
    名古屋大学環論表現論セミナー, Dec. 2015, Not invited
  • The structure of the filtration of Sally modules
    Kazuho Ozeki; Maria Evelina Rossi
    The 37th Japan Symposium on Commutative Algebra, Nov. 2015, Not invited
  • The effectivity of the filtration of Sally modules for the first Hilbert coefficient of ideals
    Kazuho Ozeki
    The JV Seminar on Commutative Algebra –by and for young mathematicians-, Sep. 2015, Invited
  • ヒルベルト函数解析に於けるSally加群のフィルトレーションの有効性について
    大関 一秀
    第10回岡山可換代数表現セミナー, Aug. 2015, Invited
  • The sectional genera and the second Hilbert coefficients of parameter ideals
    Shiro Goto; Kazuho Ozeki
    The 36th Symposium on Commutative Algebra, Nov. 2014, Not invited
  • 巴系イデアルの第1ヒルベルト係数とホモロジカルトーションについて
    後藤 四郎; 大関 一秀
    日本数学会2014年度年会, Mar. 2014, Not invited
  • 巴系イデアルの第1オイラー標数とホモロジカル次数について
    後藤 四郎; 大関 一秀
    日本数学会2014年度年会, Mar. 2014, Not invited
  • The first Euler characteristics versus the homological degrees
    Kazuho Ozeki
    Commutative Algebra and its intersection to Algebraic Geometry and Combinatorics, Dec. 2013, Invited
  • The first Euler characteristics versus the homological degrees of modules
    Shiro Goto; Kazuho Ozeki
    The 35th Japan Symposium on Commutative Algebra, Dec. 2013, Not invited
  • 正規化された第1ヒルベルト係数の値が小さいイデアルを持つ局所環の構造について
    大関 一秀
    第25回可換環論セミナー, Feb. 2013, Not invited
  • Ulrich ideals and modules of 2-dimensional rational singularities, II
    S. Goto; K. Ozeki; R Takahashi; K. Watanabe; K. Yoshida
    The 34th Symposium on Commutative Algebra, Nov. 2012, Not invited
  • Ulrich ideals and modules of 2-dimensional rational singularities, I
    S. Goto; K. Ozeki; R Takahashi; K. Watanabe; K. Yoshida
    The 34th Symposium on Commutative Algebra, Nov. 2012, Not invited
  • Hilbert functions and the structure of associated graded rings
    大関 一秀
    第11回静岡代数学セミナー, Jul. 2012, Invited
  • Hilbert functions in local rings
    大関 一秀
    第11回静岡代数学セミナー, Jul. 2012, Not invited
  • Ulrichイデアルの極小自由分解について
    後藤四郎; 大関一秀; 高橋亮
    日本数学会2012年度年会, Mar. 2012, Not invited
  • Ulrich加群の一般化について
    後藤四郎; 大関一秀; 高橋亮
    日本数学会2012年度年会, Mar. 2012, Not invited
  • 巴系イデアルのヒルベルト係数の挙動について
    大関 一秀
    九州代数幾何若手勉強会, Mar. 2012, Invited
  • 正規ヒルベルト函数の挙動について
    大関 一秀
    第17回代数学若手研究会, Mar. 2012, Not invited
  • The structure of Sally modules and Buchsbaumness of associated graded rings
    Kazuho Ozeki
    The 7th Japan-Vietnam Joint Seminar on Commutative Algebra, Dec. 2011, Invited
  • The equality of Elias and Valla and Buchsbaumness of associated graded rings
    Kazuho Ozeki
    The 33rd Symposium on Commutative Algebra, Nov. 2011, Not invited
  • Sharp bounds for Hilbert coefficients of parameters
    Kazuho Ozeki
    第44回環論および表現論シンポジウム, Sep. 2011, Not invited
  • Elias-Vallaの等式と随伴次数環の構造について
    大関 一秀
    日本数学会2011年度秋季総合分科会, Sep. 2011, Not invited
  • Hilbert coefficients of parameter ideals
    Kazuho Ozeki
    The Sixth China-Japan-Korea International Conference on Ring and Module Theory, Jul. 2011, Not invited
  • 巴系イデアルのヒルベルト係数の有限性とその計算方法について
    大関 一秀
    第16回代数学若手研究会, Mar. 2011, Not invited
  • 第1ヒルベルト係数と随伴次数環のBuchsbaum性について
    大関 一秀
    日本数学会2011年度年会, Mar. 2011, Not invited
  • 第1ヒルベルト係数によるイデアルの分類について
    大関 一秀
    第7回数学総合若手研究集会, Feb. 2011, Not invited
  • ホモロジカル次数と巴系イデアルのヒルベルト係数について
    大関 一秀
    第23回可換環論セミナー, Jan. 2011, Not invited
  • Uniform bounds for Hilbert coefficients of parameters
    Shiro Goto; Kazuho Ozeki
    The 6th Japan-Vietnam Joint Seminar on Commutative Algebra, Dec. 2010, Not invited
  • 巴系イデアルのヒルベルト係数の境界問題について
    大関 一秀
    第4回岡山大学環論セミナー, Nov. 2010, Not invited
  • The first Hilbert coefficients of parameters
    Kazuho Ozeki
    第43回環論および表現論シンポジウム, Sep. 2010, Not invited
  • 巴系イデアルのヒルベルト函数の一様な境界について
    後藤 四郎; 大関 一秀
    日本数学会2010年度秋季総合分科, Sep. 2010, Not invited
  • 巴系イデアルの第1ヒルベルト係数の挙動と環構造について
    大関 一秀
    第15回代数学若手研究会, Mar. 2010, Not invited
  • 巴系イデアルの第2ヒルベルト係数の挙動について
    後藤 四郎; 大関 一秀
    日本数学会2010年度年会, Mar. 2010, Not invited
  • 巴系イデアルの第1ヒルベルト係数の挙動と基礎環の構造について
    大関 一秀
    第6回数学総合若手研究集会, Feb. 2010, Not invited
  • 巴系イデアルの第1ヒルベルト係数による局所環の分類について
    大関 一秀
    第22回可換環論セミナー, Jan. 2010, Not invited
  • Buchsbaumness in local rings possessing constant first Hilbert coefficients of parameters
    Kazuho Ozeki
    The 5th Japan-Vietnam Joint Seminar on Commutative Algebra, Jan. 2010, Invited
  • Cohen-Macaulayness versus the vanishing of the first Hilbert coefficients of parameters
    Shiro Goto; Kazuho Ozeki
    The 31st Symposium on Commutative Algebra, Nov. 2009, Not invited
  • On the structure of Sally modules of rank one
    Kazuho Ozeki
    第42回環論および表現論シンポジウム, Oct. 2009, Not invited
  • Buchsbaumness in local rings possessing constant first Hilbert coefficients of parameters
    後藤 四郎; 大関 一秀
    日本数学会2009年度秋季総合分科, Sep. 2009, Not invited
  • Cohen-Macaulayness versus the vanishing of the first Hilbert coefficients of parameter ideals
    後藤 四郎; 大関 一秀
    日本数学会2009年度秋季総合分科, Sep. 2009, Not invited
  • The structure of Sally modules
    Kazuho Ozeki
    PASI in Commutative Algebra and its Connections to Geometry honoring W. V. Vasconcelos, Aug. 2009, Not invited
  • サリー加群とヒルベルト函数の挙動について
    大関 一秀
    第14回代数学若手研究会, Mar. 2009, Not invited
  • Sally modules of rank one – non-Cohen-Macaulay cases -
    後藤 四郎; 大関 一秀
    日本数学会2009年度年会, Mar. 2009, Not invited
  • The structure of Sally modules of rank one –non-Cohen-Macaulay cases -
    Kazuho Ozeki
    The 4th Japan-Vietnam Joint Seminar on Commutative Algebra, Feb. 2009, Not invited
  • The structure of Sally modules of rank one – the Buchsbaum case -
    Shiro Goto; Kazuho Ozeki
    The 30th Symposium on Commutative Algebra, Nov. 2008, Not invited
  • The structure of Sally modules of rank one
    Kazuho Ozeki
    International Conference on Commutative Algebra, Mar. 2008, Invited
  • 階数が1のSally加群の構造
    大関 一秀
    第20回可換環論セミナー, Jan. 2008, Not invited
  • The structure of Sally modules of rank one
    Kazuho Ozeki
    The 3rd Japan-Vietnam Joint Seminar on Commutative Algebra, Dec. 2007, Invited
  • Sally modules of rank one
    Kazuho Ozeki
    The 29th Symposium on Commutative Algebra, Nov. 2007, Not invited
  • m-primary ideals with the small first Hilbert coefficients
    大関 一秀
    第19回可換環論セミナー, Jan. 2007, Not invited
  • m-primary ideals with the small first Hilbert coefficients
    Kazuho Ozeki
    The 28th Symposium on Commutative Algebra, Nov. 2006, Not invited

Courses

  • Advanced Algebra III
    YAMAGUCHI UNIVERSITY
  • Mathematics I
    YAMAGUCHI UNIVERSITY
  • Lectures in Mathematical Science Advanced Algebra
    YAMAGUCHI UNIVERSITY
  • Advanced Algebra I
    YAMAGUCHI UNIVERSITY
  • Trends in modern mathematics
    YAMAGUCHI UNIVERSITY
  • Applied Algebra
    YAMAGUCHI UNIVERSITY
  • Lectures in Mathematical Science
    YAMAGUCHI UNIVERSITY
  • Topics in Mathematical Science
    YAMAGUCHI UNIVERSITY
  • Independent Research
    YAMAGUCHI UNIVERSITY
  • AlgebraII
    YAMAGUCHI UNIVERSITY
  • Advanced Algebra II
    YAMAGUCHI UNIVERSITY
  • Linear Algebra I
    YAMAGUCHI UNIVERSITY
  • Mathematics II
    YAMAGUCHI UNIVERSITY

Affiliated academic society

  • THE MATHEMATICAL SOCIETY OF JAPAN

Research Themes

  • 可換環論におけるヒルベルト函数論の展開
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Apr. 2021 - Mar. 2025
    大関 一秀
  • ヒルベルト函数の理論を積極的に用いた局所環論の展開
    日本学術振興会, 科学研究費基盤研究(C), Apr. 2018 - Mar. 2021
    大関 一秀
  • 局所環のヒルベルト函数論の展開
    日本学術振興会, 科学研究費基盤研究(C), Apr. 2015 - Mar. 2018
    大関 一秀
  • ヒルベルト函数解析を手法とした局所環論
    日本学術振興会, 科学研究費若手研究(B), Apr. 2013 - Mar. 2015
    大関 一秀
  • ヒルベルト函数による可換環論
    日本学術振興会, 科学研究費若手研究(B), Apr. 2010 - Mar. 2012
    大関 一秀
  • Commutative algebra - towards a better understanding of non-Cohen-Macaulay rings
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2010 - 2012
    GOTO Shiro; OZEKI Kazuho; IAI Shinichiro

Academic Contribution Activities

  • 第33回可換環論セミナー世話役
    Planning etc
    大関一秀(山口大学)、岡崎亮太(福岡教育大学), オンライン(ZOOM), 16 Jun. 2022 - 19 Jun. 2022
  • 第42回可換環論シンポジウム世話役
    Planning etc
    20 Nov. 2021 - 23 Nov. 2021