NAKASHIMA Norihiro

写真a

Affiliation Department

Department of Computer Science / Department of Fundamental Study
Department of Computer Science

Title

Associate Professor

External Link

Degree

  • Master(Mathematics) ( 2010.03   Hokkaido University )

  • Ph.D(Mathematics) ( 2013.03   Hokkaido University )

From School

  • Shinshu University   Faculty of Science   Graduated

    2004.04 - 2008.03

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    Country:Japan

From Graduate School

  • Hokkaido University   Graduate School of Science   Master's Course   Completed

    2008.04 - 2010.03

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    Country:Japan

  • Hokkaido University   Graduate School of Science   Doctor's Course   Completed

    2010.04 - 2013.03

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    Country:Japan

 

Papers

  • 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

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:University of Waterloo  

    Other Link: https://cs.uwaterloo.ca/journals/JIS/VOL24/Tsujie/tsu2.html

  • 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

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:Springer Nature  

    Other Link: https://link.springer.com/article/10.1007%2Fs10468-020-09961-1

  • 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

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1017/nmj.2018.5

  • 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

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.4153/CMB-2016-031-7

  • 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

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

  • 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

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s10468-013-9440-0

  • 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

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.jalgebra.2014.02.012

  • 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

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1080/00927872.2012.654415

  • 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

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.jalgebra.2011.10.042

Books and Other Publications

  • Mirrors and Reflections

    ( Role: Joint author)

    Maruzen Publishing  2015.08  ( ISBN:9784621089620

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    Language:jpn   Book type:Scholarly book

Presentations

  • 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 

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    Event date: 2020.08

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:オンライン開催  

  • 高階自由配置に関するHolmの問題の反例と3次元の場合の証明 Invited

    中島規博

    広島国際学院大学離散数学セミナー 

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    Event date: 2020.03

    Language:Japanese   Presentation type:Oral presentation (general)  

  • 3次元超平面配置の高階自由性とHolmの問題

    中島規博

    2019年度日本数学会秋季総合分科会 

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    Event date: 2019.09

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:金沢大学角間キャンパス  

  • ハミング重み多項式とコバウンダリー多項式

    中島規博

    第8回誤り訂正符号のワークショップ 

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    Event date: 2019.09

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:日本文理大学湯布院研修所  

  • Coboundary polynomials of Coxeter arrangements and Catalan arrangements Invited International conference

    Norihiro Nakashima

    CIMPA School, Hyperplane Arrangements: Recent Advances and Open Problems (Workshop) 

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    Event date: 2019.03

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Hanoi, Vietnam  

  • 超平面配置の高階自由性について Invited

    中島規博

    第13回名古屋組合せ論セミナー 

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    Event date: 2019.03

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:愛知県立大学サテライトキャンパス  

  • Hamming重み多項式とTutte多項式の関係と超平面配置のcoboundary多項式 Invited

    中島規博

    グラフの新たな局所変形の開発とその応用 

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    Event date: 2019.03

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:京都大学数理解析研究所  

  • High order freeness for 3-arrangements Invited International conference

    Norihiro Nakashima

    On hyperplane arrangements, configuration spaces and related topics 

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    Event date: 2019.02

    Language:English   Presentation type:Oral presentation (general)  

  • 超平面配置の高階自由性に関する Holm の問題の反例

    中島規博, 阿部拓郎

    2018年度日本数学会年会 

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    Event date: 2018.03

    Language:Japanese   Presentation type:Oral presentation (general)  

  • A modification of the discrete Fourier transform for the code defined by Garcia-Stichtenoth tower Invited

    中島 規博

    代数的手法による数理暗号解析 

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    Event date: 2018.02

    Language:Japanese   Presentation type:Oral presentation (general)  

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Scientific Research Funds Acquisition Results

  • 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

  • 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