Miyazaki Chikashi

宮崎誓 | Miyazaki Chikashi

Affiliation and department：
Job title： Professor

Research field (1)： Algebra

Research keywords (2)： Algebraic Geometry , Commutative Algebra

Research theme for competitive and other funds (17)：

2021 - 2026 Syzygies of Projective Varieties and Splitting of Algebraic Vector Bundles
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
2014 - 2020 Castelnuovo-Mumford regularity and syzygies for projective varieties and its related topics
2014 - 2017 Arithmetical rank of Stanley-Reisner ideals and projective dimension of their powers
2009 - 2014 Castelnuovo-Mumford regularity for projective variety and its related topics

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Papers (20)：

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MISC (13)：

Chikashi Miyazaki. Syzygy Theoretic Approach to Horrocks-type Criteria for Vector Bundles. arXiv>math>2403.17625. 2024. 1-18
Chikashi Miyazaki. Castelnuovo-Mumford regularity of polynomial ideals and syzygy theoretic approach to vector bundles. 2024. 13-23
宮崎誓. ベクトル束のHorrocks-type判定法へのアプローチ --- 可換環論・シジジー手法・Castelnuovo-Mumford正則量. 研究集会「代数幾何学とその周辺」(休暇村南阿蘇)報告集. 2024
Chikashi Miyazaki. Syzygy theoretic approach to Horrocks-type theorem for vector bundles through the Castelnuovo-Mumford regularity. 2023
宮崎誓. Castelnuovo-Mumford正則量とシジジーに関連する話題について. 第66回代数学シンポジウム報告集. 2021. 114-132

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Lectures and oral presentations (41)：

Syzygy Theoretic Approach to Structure Theorems of Vector Bundles on Projective Space
(Complex Geometry, Algebraic Geometry and Related Fields, Chuo University 2024)
Castelnuovo-Mumford regularity of polynomial ideals and syzygy theoretic approach to vector bundles
(2024)
ベクトル束のホロックス型判定法へのシジジー理論的アプローチ
(早稲田大学セミナー 2024)
ベクトル束のホロックス型判定法へのシジジー理論的アプローチ
(九大数理代数幾何学セミナー 2024)
Syzygy theoretic approach to Horrocks-type theorem for vector bundles through the Castelnuovo-Mumford regularity
(The 44th Symposium on Commutative Algebra 2023)

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Education (3)：

1984 - 1989 Waseda University Graduate School of Science and Engineerings, DC Department of Mathematics
1982 - 1984 Waseda University Graduate School of Science and Engineerings, MC Department od Mathematics
1978 - 1982 Waseda University School of Science and Engineerings Department of Mathematics

Professional career (1)：

Work history (11)：

2018/04 - 現在 Kumamoto University Faculty of Advenced Science and Technology Professor
2015/04 - 2018/03 Kumamoto University Faculty of Education Professor
2016/03 - 2016/03 Politecnico di Torino
2010/04 - 2015/03 Saga University Graduate School of Science and Engineering Professor
2007/10 - 2010/03 Saga University Faculty of Science and Engineering Professor

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Association Membership(s) (2)：

American Mathmatical Society , THE MATHEMATICAL SOCIETY OF JAPAN

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