Rchr
J-GLOBAL ID:200901054168562595
Update date: Apr. 26, 2024
Miyazaki Chikashi
宮崎 誓 | Miyazaki Chikashi
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Affiliation and department:
Kumamoto University Faculty of Advanced Science and Technology
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Detailed information
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
2011 - 2013 Minimal free resolutions and the arithmetical rank of Stanley-Reisner ideals
2011 - 2013 Motivic structure of nilpotent completions of modular groups
2008 - 2010 Study on the multiplicities and minimal free resolutions of Stanley-Reisner rings
2008 - 2010 Number Theory and its Development to Discrete Mathematics
2008 - 2010 Geometry of modular varieties and congruence, P-adic theory of Siegel modular forms
2005 - 2009 Castelnuovo-Mumford regularity for projective varieties
2002 - 2005 Free resolutions of the coordinate rings of projective varieties
1999 - 2002 Syzygies for the defining ideal of projective varieties
1997 - 1999 多項式イデアルのCastelnuovo's regularityの研究
1998 - 1999 Classification of homogeneous ideals in terms of the degrees of generic Grobner bases
1996 - 1997 次数環のCastelnuovo-Mumford regularityの研究
1993 - 1994 Graded ringのBuchsbaum性の研究
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Papers (20):
Miyazaki C. Bounds on Castelnuovo-Mumford regularity of graded modules and projective varieties. Beitr. Algebra Geom. 2019. 60. 1. 57-65
Francesco Malaspina, Chikashi Miyazaki. Cohomological property of vector bundles on biprojective spaces. Ricerche di Matematica. 2018. 67. 1-6
Chikashi Miyazaki. Buchsbaum criterion of Segre products of vector bundles on multiprojective space. JOURNAL OF ALGEBRA. 2016. 467. 47-57
Chikashi Miyazaki. Remarks on r-planes in Complete Intersections. TOKYO JOURNAL OF MATHEMATICS. 2016. 39. 2. 459-467
Chikashi Miyazaki. A COHOMOLOGICAL CRITERION FOR SPLITTING OF VECTOR BUNDLES ON MULTIPROJECTIVE SPACE. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 2015. 143. 4. 1435-1440
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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 (40):
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)
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の話題」(休暇村南阿蘇) 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):
PhD (Waseda University)
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
1999/04 - 2007/09 University of the Ryukyus Faculty of Science Associate Professor
2000/09 - 2000/11 Centre de Recerca Matematica
1996/04 - 1999/03 Nagano National College of Technology Department of General Education Associate Professor
1990/04 - 1996/03 Nagano National College of Technology Department of General Education Lecturer
1994/04 - 1995/03 Massey University
1989/04 - 1990/03 Fujitsu Ltd
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Association Membership(s) (2):
American Mathmatical Society
, THE MATHEMATICAL SOCIETY OF JAPAN
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