Rchr
J-GLOBAL ID：200901054168562595
Update date: Apr. 21, 2024
Miyazaki Chikashi
宮崎 誓 | Miyazaki Chikashi
Contact this researcher
You can send email directly to the researcher.
Affiliation and department：
Kumamoto University Faculty of Advanced Science and Technology
About Kumamoto University Faculty of Advanced Science and Technology
Search "Kumamoto University Faculty of Advanced Science and Technology"
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
Show all
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
ｍore...
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
ｍore...
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)
ｍore...
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
Show all
Association Membership(s) (2)：
American Mathmatical Society
, THE MATHEMATICAL SOCIETY OF JAPAN
※ Researcher’s information displayed in J-GLOBAL is based on the information registered in
researchmap
.
For details, see here
.
Return to Previous Page
TOP
BOTTOM
