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
Inzai, 270-1382, JAPAN
Current Position: Assistant Professor
Takuro Abe and Norihiro Nakashima,
A characterization of high order freeness for product arrangements and answers to Holm's questions,
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.
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.
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.
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.
Modules of differential operators of order 2 on Coxeter arrangements,
Algebr. Represent. Theory, Volume 17, Issue 4, pp. 1163-1180, Aug. 2014.
The Noetherian Properties of the Rings of Differential Operators on Central 2-Arrangements,
Comm. Algebra, Volume 41, Issue 6, pp. 2114-2131, May 2013.
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.
Talks and Posters
Answers to some questions for high order freeness of hyperplane arrangements,
Universität Bremen, Bremen, Germany, June 12, 2017 (an invited talk)
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)
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)
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)
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)
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)
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)
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
The web page of FUKUNAGA Tomonori
Last Updated on 2017/11/2