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Affiliation Department |
Department of Computer Science / Department of Fundamental Study
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Title |
Associate Professor |
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External Link |
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NAKASHIMA Norihiro
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Degree
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Master(Mathematics) ( 2010.03 Hokkaido University )
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Ph.D(Mathematics) ( 2013.03 Hokkaido University )
From School
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Shinshu University Faculty of Science Graduated
2004.04 - 2008.03
Country：Japan
From Graduate School
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Hokkaido University Graduate School of Science Master's Course Completed
2008.04 - 2010.03
Country：Japan
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Hokkaido University Graduate School of Science Doctor's Course Completed
2010.04 - 2013.03
Country：Japan
Papers
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High Order Free Hyperplane Arrangements in 3-Dimensional Vector Spaces Reviewed
Norihiro Nakashima
Algebras and Representation Theory 2023.11
Authorship：Corresponding author Language：English Publishing type：Research paper (scientific journal)
DOI： https://doi.org/10.1007/s10468-023-10237-7
Other Link： https://link.springer.com/article/10.1007/s10468-023-10237-7
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Enumeration of Flats of the Extended Catalan and Shi Arrangements with Species Reviewed International journal
Norihiro Nakashima, Shuhei Tsujie
Journal of Integer Sequences 24 ( 9 ) 2021.09
Language：English Publishing type：Research paper (scientific journal) Publisher：University of Waterloo
Other Link： https://cs.uwaterloo.ca/journals/JIS/VOL24/Tsujie/tsu2.html
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A characterization of high order freeness for product arrangements and answers to Holm's questions Reviewed International journal
Takuro Abe, Norihiro Nakashima
Algebras and Representation Theory 24 ( 3 ) 585 - 599 2021.06
Language：English Publishing type：Research paper (scientific journal) Publisher：Springer Nature
Other Link： https://link.springer.com/article/10.1007%2Fs10468-020-09961-1
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Distribution of accumulation points of roots for type (n-1,1) Coxeter groups Reviewed
Akihiro Higashitani, Ryosuke Mineyama, Norihiro Nakashima
Nagoya Mathematical Journal 235 127 - 157 2019.09
Language：English Publishing type：Research paper (scientific journal)
DOI： 10.1017/nmj.2018.5
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Canonical systems of basic invariants for unitary reflection groups Reviewed International journal
Norihiro Nakashima, Hiroaki Terao, Shuhei Tsujie
Canadian Mathematical Bulletin 59 ( 3 ) 617 - 623 2016.09
Language：English Publishing type：Research paper (scientific journal)
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Decoding of Projective Reed-Muller Codes by Dividing a Projective Space into Affine Spaces Reviewed
Norihiro Nakashima, Hajime Matsui
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences E99-A ( 3 ) 733 - 741 2016.03
Authorship：Lead author Language：English Publishing type：Research paper (scientific journal)
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Modules of differential operators of order 2 on Coxeter arrangements Reviewed International journal
Norihiro Nakashima
Algebras and Representation Theory 17 ( 4 ) 1163 - 1180 2014.08
Language：English Publishing type：Research paper (scientific journal)
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A canonical system of basic invariants of a finite reflection group Reviewed International journal
Norihiro Nakashima, Shuhei Tsujie
Journal of Algebra 406 143 - 153 2014.05
Language：English Publishing type：Research paper (scientific journal)
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The Noetherian Properties of the Rings of Differential Operators on Central 2-Arrangements Reviewed International journal
Norihiro Nakashima
Communications in Algebra 41 ( 6 ) 2114 - 2131 2013.05
Language：English Publishing type：Research paper (scientific journal)
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The Freeness and Minimal Free Resolutions of Modules of Differential Operators of a Generic Hyperplane Arrangement Reviewed International journal
Norihiro Nakashima, Go Okuyama, Mutsumi Saito
Journal of Algebra 351 ( 1 ) 294 - 318 2012.02
Language：English Publishing type：Research paper (scientific journal)
Books and Other Publications
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Mirrors and Reflections
（ Role： Joint author）
Maruzen Publishing 2015.08 （ ISBN:9784621089620 ）
Language：jpn Book type：Scholarly book
Presentations
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Higher-order freeness for hyperplane arrangements Invited International conference
Norihiro Nakashima
International Colloquium on Differential Geometry and its Related Fields 2023.09
Event date： 2023.09
Language：English Presentation type：Oral presentation (general)
Venue：University of Patras, Patras Country：Greece
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Coboundary polynomial and related polynomial invariants International conference
Norihiro Nakashima
10th International Congress on Industrial and Applied Mathematics, Minisymposium `Hyperplane arrangements and enumerative problems' 2023.08
Event date： 2023.08
Language：English Presentation type：Oral presentation (general)
Venue：Waseda University, Tokyo Country：Japan
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ハミング重み多項式とコバウンダリー多項式の関係 Invited
中島規博
離散構造における多項式不変量の研究 2023.06 九州大学マス・フォア・インダストリ研究所
Event date： 2023.06
Language：Japanese Presentation type：Oral presentation (general)
Venue：九州大学 伊都キャンパス Country：Japan
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A condition for the extended Shi arrangements of type A to be hereditarily free Invited International conference
Norihiro Nakashima
Combinatorics, geometry and commutative algebra of hyperplane arrangements 2023.01
Event date： 2023.01
Language：English Presentation type：Oral presentation (general)
Venue：Kyushu University, Fukuoka Country：Japan
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Computation of characteristic quasi polynomials for Coxeter arrangements of types BCD by counting points of the complement Invited
2022.06
Event date： 2022.06
Language：English Presentation type：Oral presentation (general)
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誤り訂正符号の重み多項式と超平面配置のcoboundary多項式
中島規博
誤り訂正符号と超平面配置の関係とその応用 2022.06
Event date： 2022.06
Language：Japanese Presentation type：Oral presentation (general)
Venue：九州大学伊都キャンパス
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A型拡張Shi配置とA型拡張Catalan配置が遺伝的自由配置であるための条件
中島規博，辻栄周平
2022年度日本数学会年会 2022.03 日本数学会
Event date： 2022.03
Language：Japanese Presentation type：Oral presentation (general)
Venue：埼玉大学理学部数学科
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拡張Shi配置と拡張Catalan配置の遺伝的自由性について Invited
中島規博
超平面配置の数学とその進展2022 2022.02
Event date： 2022.02
Language：Japanese Presentation type：Oral presentation (general)
Venue：オンライン
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Dimensions for extended Shi and Catalan arrangements to be hereditarily free Invited International conference
Norihiro Nakashima
Oberseminar "Arrangements and Symmetries" 2022.01
Event date： 2022.01
Language：English Presentation type：Oral presentation (general)
Venue：Ruhr Univaersität, Bochum (Online) Country：Germany
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自由配置の理論に現れるグラフの例 Invited
中島規博
Japanese Conference on Combinatorics and its Application 2020
Event date： 2020.08
Language：Japanese Presentation type：Oral presentation (invited, special)
Venue：オンライン開催
Scientific Research Funds Acquisition Results
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Grant number：20K14282 2020.04 - 2024.03
若手研究
Authorship：Principal investigator Grant type：Competitive
Grant amount：\4160000 （ Direct Cost: \3200000 、 Indirect Cost：\960000 ）
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超平面配置と誤り訂正符号の融合
2016.04 - 2019.03
科学研究費補助金 若手研究(B)
中島 規博
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表現論やグレブナー基底の理論からのアプローチによる代数的符号理論の問題の研究
2014.08 - 2016.03
科学研究費補助金 研究活動スタート支援
中島 規博