Paper

 出版された論文(査読あり)

1. Harmonic index t-designs in the Hamming scheme for arbitrary q, Graphs Combin.,37,(2021), no.5, 1669-1685 (with Ryota Hori)

2. Spherical designs of harmonic index t, J. Approx. Theory 195(2015), 1-18 (with Eiichi Bannai and Takayuki Okuda)

3. Negatively curved cubic carbon crystals with octahedral symmetry, Carbon 76(2014) 266-274 (with Yoshiyuki Kawazoe, Motoko Kotani, Yunye Liang and Hisashi Naito)

4. New growth mechanism of cubic Rh clusters composed of 8-12 atoms found by the method of Euclidean designs, Materials Transactions 53 3 (2012), 459-462 (with Yoshiyuki Kawazoe, Motoko Kotani and Yunye Liang)

5. On Euclidean designs and potential energy, Electron. J. Combin. Volume 19 (1)(2012), #P2, 1-18 (with Tsuyoshi Miezaki)

6. Tests of inequivalence among absolutely non-singular tensors throughout geometric invariants, Universal Journal of Mathematics and Mathematical Science, Volume 1(1), (2012), 1-28 (with K. Maehara, M. Miyazaki, T. Sakata, T. Sasaki, T. Sumi and Y. Watanabe).

7. A note on anticoherent spin states, J. Phys. A: Math. Theor. 44 (2011) 342002, 1-7 (with Eiichi Bannai).

8. On the number of points in a lattice polytope, Integers, (2011) Volume 11, A22, 1-3 (with Arseniy Akopyan).

9. Gorenstein polytopes obtained from bipartite graphs,  Electron. J. Combin. Volume 17 (1), (2010), 12 pages.

10. Lower bounds on the coefficients of Ehrhart polynomials, European J. Combin.  30 (2009), 70-83 (with Martin Henk).

11. A Riemann hypothesis analogue for invariant rings, Discrete Math. Volume 307 (2007), Issue 21, 2552-2568 (with Tetsuo Harada).

12. Spherical designs attached to extremal lattices and the property modulo p of the Fourier coefficients of the extremal modular forms,  Mosc. Math. J. 6 (2006), no. 2, 225-264, 406. (with Eiichi Bannai, Masao Koike and Masashi Shinohara).

13. Some properties of the twisted Grassmann graphs, Innov. Incidence Geom. 3 (2006), 81-87 (with Tatsuya Fujisaki and Jack Koolen).

14. Gelfand pairs obtained from the finite upper half planes over Z/2^nZ, J. Combin. Math. Combin. Comput. 51 (2004), 205-208.

15. Symmetric association schemes attached to finite upper half planes over rings, Linear Algebra Appl. 376 (2004), 225-234.

16. Nonexistence of modular fusion algebras whose kernels are certain noncongruence subgroups, J. Math. Soc. Japan 55 (2003) no.3. 681-693.

17. Modular invariants of the modular data of finite groups, Matimyas Matematika (Official Journal of Mathematical Society of Philippines),  Vol 25 (2002), special issue, 12-24 (with Eiichi Bannai, Etsuko Bannai and Osamu Shimabukuro).

 国際会議紀要(査読なし)

• 1. On optimal sets in Musin's paper ”The kissing number in four dimensions", Proceedings of COE Workshop on Sphere Packings, MHF Lecture Note Series Vol.1, (2005), 26-31, (with Eiichi Bannai). preprint optimal.pdf

記事

• 1. AIに数学はできるか？, Coffee break in 数学セミナー, 2016年12月号

  2. 数学の面白さ, Coffee break in 数学セミナー, 2016年7月号

  3. ケプラー予想の計算機による証明と検証について, 数学セミナー2014年12月号

  4. 球デザインの材料科学への応用, 応用数理 23(4), 2013年12月, 166-170

教科書

• 1. 理工系学生のための微分積分, 培風館, 2017年3月 (with M. Hirokado, H. Hirose, T. Okamura, Y. Okazaki, N. Saito and Y. Sato)

  2. 基礎数学VIII，群論，東京化学同人，2019年1月，（「Discovering Group Theory, T. Barnard and H. Neil」の訳）

  3. 理工系学生のための微分方程式，培風館，2021年11月（with T.Katsura, T.Okayama,Y.Sato, T.Wakasa and H.Hirose）

他の原稿

• 1. An alternative proof to analogue of the Mallow-Sloane bound for formal weight enumerators. anpr.pdf

  2. Automorphism group of the van Dam-Koolen graph. Aut.pdf