NAKASHIMA Norihiro's page

This is Norihiro Nakashima's web page.
I am using a server at Department of Mathematics, Hokkaido University, and deeply grateful to that department.
I am studying mathmatics with the following key words.
Key Words: Hyperplane arrangements, Ring of differential operators, Reflection groups & Coxeter groups, Coding theory

Present Professional Address:
Tokyo Denki University
2-1200 Muzaigakuendai,
Inzai, 270-1382, JAPAN

email: nakashima(at)
Current Position: Assistant Professor

My vita is here. (Nov. 2014)

(Vita in Japanese)



[8]Takuro Abe and Norihiro Nakashima,
A characterization of high order freeness for product arrangements and answers to Holm's questions,
Preprint. arXiv:1705.07417


[7]Akihiro Higashitani, Ryosuke Mineyama, and Norihiro Nakashima,
Distribution of accumulation points of roots for type $(n-1,1)$ Coxeter groups,
Preprint, to appear in Nagoya Math. J. arXiv:1212.6617

[6]Norihiro Nakashima, Hiroaki Terao, and Shuhei Tsujie,
Canonical systems of basic invariants for unitary reflection groups,
Canad. Math. Bull. Vol. 59, No. 3, pp. 617-623, Sep. 2016.   arXiv:1310.0570

[5]Norihiro Nakashima and Hajime Matsui,
Decoding of Projective Reed-Muller Codes by Dividing a Projective Space into Affine Spaces,
IEICE Trans, Fundamentals, Volume E99-A, No. 3, pp. 733-741, Mar. 2016. Journal page   arXiv:1412.4365

[4]Norihiro Nakashima and Shuhei Tsujie,
A canonical system of basic invariants of a finite reflection group,
J. Algebra, Volume 406, pp. 143-153, May 2014. doi:10.1016/j.jalgebra.2014.02.012   arXiv:1211.6026

[3]Norihiro Nakashima,
Modules of differential operators of order 2 on Coxeter arrangements,
Algebr. Represent. Theory, Volume 17, Issue 4, pp. 1163-1180, Aug. 2014. doi:10.1007/s10468-013-9440-0   arXiv:1111.6712

[2]Norihiro Nakashima,
The Noetherian Properties of the Rings of Differential Operators on Central 2-Arrangements,
Comm. Algebra, Volume 41, Issue 6, pp. 2114-2131, May 2013. doi:10.1080/00927872.2012.654415

[1]Norihiro Nakashima, Go Okuyama, and Mutsumi Saito,
The Freeness and Minimal Free Resolutions of Modules of Differential Operators of a Generic Hyperplane Arrangement,
J. Algebra, Volume 351, Issue 1, pp. 294-318, Feb. 2012. doi:10.1016/j.jalgebra.2011.10.042

Talks and Posters

Selected Talks

[4]Answers to some questions for high order freeness of hyperplane arrangements,
ALTA Oberseminar,
Universität Bremen, Bremen, Germany, June 12, 2017 (an invited talk)

[3]A module of high order differential operators on a hyperplane arrangement,
Hyperplane arrangements and related topics,
Hokkaido University, Sapporo, Japan, Feb. 13, 2017 (an invited talk)

[2]Discrete Fourier transforms on some asymptotically good towers of curves,
Workshop on Hyperplane Arrangements and Singularity Theory,
Hokkaido University, Sapporo, Japan, Mar. 22, 2016 (an invited talk)

[1]A Decoding Algorithm for Projective Reed-Muller Codes of 2-Dimensional Projective Space with DFT,
2014 International Symposium on Information Theory and its Applications,
Melbourne, Australia, Oct. 28, 2014 (with H. Matsui) (a peer-reviewed talk)


[3]A semigroup DFT over finite fields applied to affine variety codes,
The IEEE International Symposium on Information Theory 2015, Recent Results Poster Session,
Hong Kong Convention and Exhibition Centre, Hong Kong, June 17, 2015 (with H. Matsui)

[2]Bases for modules of differential operators of order 2 on the classical Coxeter arrangements,
The 24th International Conference on Formal Power Series and Algebraic Combinatorics,
Nagoya University, July 31, 2012 (a peer-reviewed presentation)

[1]Coxeter arrangements and Cauchy-Sylvester's compound determinants ,
The 5th Mathematical Society of Japan Seasonal Institute, 2012
International summer school and conference on Schubert calculus,
Osaka City University, July 26, 2012

Other Talks (Japanese)


Others (Japanese)



Department of Mathematics, Hokkaido University (Japanese)

Department of Mathematics, Hokkaido University (English)

The 7th Mathematics Conference for Young Researchers

The 8th Mathematics Conference for Young Researchers

links (Friends and Colleagues)

Web Page of K. Takasao

Kenta Ueyama's homepage

Akihiro Higashitani

The web page of FUKUNAGA Tomonori

Takahito Naito   (English page)

Last Updated on 2017/11/2