Papers
[11] Norihiro Nakashima,
High order free hyperplane arrangements in 3-dimensional vector spaces,
Algebr. Represent. Theory., Volume 27, Issue 1, pp. 877-896, Feb. 2024. (online 04 Nov. 2023),
doi.org/10.1007/s10468-023-10237-7
arXiv:1903.03249
[10] Norihiro Nakashima and Shuhei Tsujie,
Freeness for restriction arrangements of the extended Shi and Catalan arrangements,
Discrete Math. Volume 346, Issue 1, Dec. 2023.
doi.org/10.1016/j.disc.2023.113601
arXiv:2111.03585
[9] Norihiro Nakashima and Shuhei Tsujie,
Enumeration of Flats of the Extended Catalan and Shi Arrangements with Species,
J. Integer Sequences, Volume 24, Issue 9,
Article 21.9.2
Sep. 30 2021.
arXiv:1904.09748
[8] Takuro Abe and Norihiro Nakashima,
A characterization of high order freeness for product arrangements and answers to Holm's questions,
Algebr. Represent. Theory., Volume 24, Issue 4, pp. 585-599, June 2021. (online 04 Apr. 2020)
doi.org/10.1007/S10468-020-09961-1
arXiv:1705.07417
[7] Akihiro Higashitani, Ryosuke Mineyama, and Norihiro Nakashima,
Distribution of accumulation points of roots for type $(n-1,1)$ Coxeter groups,
Nagoya Math. J., Volume 235, pp. 127-157, Sep. 2019. (online 01 Mar. 2018)
doi.org/10.1017/nmj.2018.5
arXiv:1212.6617
[6] Norihiro Nakashima, Hiroaki Terao, and Shuhei Tsujie,
Canonical systems of basic invariants for unitary reflection groups,
Canad. Math. Bull. Volume 59, No. 3, pp. 617-623, Sep. 2016.
dx.doi.org/10.4153/CMB-2016-031-7
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,
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
[3] 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
[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
Preprints
[2] Akihiro Higashitani and Norihiro Nakashima,
Characteristic quasi-polynomials of deletions of Shi arrangements of type B and their period collapse,
Preprint.
arXiv:2405.20102
[1] Yusuke Mori and Norihiro Nakashima,
Characteristic quasi-polynomials for deformations of Coxeter arrangements of types A, B, C, and D,
Preprint.
arXiv:2208.00735
Books
・鏡映の数学--有限鏡映群の幾何学
（A.V. ボロビック，A. ボロビック 著 小林 雅人，陶山 大輔，塚本 靖之，中島 規博，東谷 章弘，嶺山 良介 訳）
丸善出版 ，ISBN: 9784621089620，Aug. 2015，222pp. (translation)
Proceedings
・ N. Nakashima, H. Matsui,
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 26-29, 371-375, 2014. (peer-reviewed conference)
・ N. Nakashima,
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, 375-386, July 31, 2012
(peer-reviewed conference)
・ N. Nakashima,
A basis for the module of differential operators of order 2
on the braid hyperplane arrangement,
数理解析研究所講究録1795, 135-143, 2012.
・ N. Nakashima,
The Noetherian properties of the rings of differential operators
on central 2-arrangementst,
Proceedings of the 44th Symposium on Ring Theory and Representation Theory,
Symp. Ring Theory Represent. Theory Organ. Comm., Nagoya, 132-135, 2012.