Paper published in Bulletin of the Iranian Mathematical Society
The paper "Embedding Dimensions of Matrices Whose Entries are Indefinite Distances in the Pseudo-Euclidean Space" with Masashi Shinohara and Sho Suda has been published in Bulletin of the Iranian Mathematical Society.
Paper published in Research in Number Theory
The paper "Spherical designs and modular forms of the lattice" with Koji Tasaka and Masatake Hirao has been published in Research in Number Theory.
Editor of Graphs and Combinatorics
I have joined the editional borad of Graphs and Combinatorics.
Paper published in AC
The paper "Bounds for sets with few distances distinct modulo a prime ideal" has been published in Algebraic Combinatorics.
New paper
New paper "Euclidean sets with only one distance modulo a prime ideal" is now available on arXiv.
New paper
The paper "Spherical designs and modular forms of the D4 lattice" is now available on arXiv. This is a joint-work with Masatake Hirao and Koji Tasaka.
Talk
I am going to talk at the conference "Sphere packings, coverings, and spherical codes" in Sofia, Bulgaria.
Title: Uniqueness of the D4 root system as tight antipodal spherical {10, 4, 2}-design
New paper
The paper "Embedding dimensions of matrices whose entries are indefinite distances in the pseudo-Euclidean space" with Masashi Shinohara and Sho Suda is now available on arXiv.
Paper published in LAA
The paper "Rationality of the inner products of spherical s-distance t-designs for t ≥ 2s − 2, s ≥ 3" has been published in Linear Algebra and its Applications. The paper is also available on arXiv.
Paper published in EJC
The paper "On the spectrum and linear programming bound for hypergraphs" has been published in European Journal of Combinatorics.
New paper
New paper "Bounds for sets with few distances distinct modulo a prime ideal" has been available on arXiv.
Talk
I will talk at the conference "Workshop on Algebraic Combinatorics" on Janauary 25.
Title: A generalization of mod-p bounds for s-distance sets to a ring of integers
Talk
I will talk at MoCCA '21, EXTREMAL PROBLEMS OF DISCRETE GEOMETRY on June 30.
Title: FEW-DISTANCE SETS AND THE DODECAHEDRON CONJECTURE.
A Proof of a Dodecahedron Conjecture for Distance Sets
The paper "A Proof of a Dodecahedron Conjecture for Distance Sets" with Masashi Shinohara has been published in Graphs and Combinatorics.
講究録（代数的組合せ論と関連する群と代数の研究）
2019年12月に行われましたRIMS共同研究（公開型）「代数的組合せ論と関連する群と代数の研究」の講究録が出版されました．
New paper
The paper "A proof of a Dodecahedron conjecture for distance sets" with Masashi Shinohara is available on arXiv.
New paper
The paper "On the spectrum and linear programming bound for hypergraphs" with Sebastian M. Cioabă, Jack H. Koolen, Masato Mimura, and Takayuki Okuda is available on arXiv.
Maximal 2-distance sets containing the regular simplex
The paper "Maximal 2-distance sets containing the regular simplex" with Masashi Shinohara has been published in Discrete Math.
A spectral version of the Moore problem for bipartite regular graphs
The paper "A spectral version of the Moore problem for bipartite regular graphs" with Sebastian Cioabă and Jack Koolen has been published in Algebraic Combinatorics.
Research on algebraic combinatorics, related groups and algebras
RIMS conference "Research on algebraic combinatorics, related groups and algebras" will be held from December 16 to December 19, 2019. See here for the details.
代数的組合せ論シンポジウム報告集
第1回と第29回の代数的組合せ論シンポジウム報告集の電子版を公開しました．
代数的組合せ論シンポジウム報告集
第４，５，６回代数的組合せ論シンポジウム報告集電子版を公開いたしまた．
代数的組合せ論シンポジウム報告集
第１３回代数的組合せ論シンポジウム報告集の電子版を公開しました．
Largest regular multigraphs with three distinct eigenvalues
The paper "Largest regular multigraphs with three distinct eigenvalues" has been published in Discrete math.
Advances and Applications in Discrete Mathematics
I have joined the Editorial board of Advances and Applications in Discrete Mathematics.
第３５回代数的組合せ論シンポジウム報告集
第３５回代数的組合せ論シンポジウム報告集電子版を公開いたしました．
Complex spherical codes with three inner products
The paper "Complex spherical codes with three inner products" with Sho Suda has been accepted for publication in Discrete & Computational Geometry.
A spectral version of the Moore problem for bipartite regular graphs
The paper is available on arXiv: 1805.01056.
1805.01056
代数的組合せ論シンポジウム報告集
第３４回、第３２回、第９回、第８回、第７回、第３回代数的組合せ論シンポジウム報告集の電子版を公開しました。
代数的組合せ論シンポジウム報告集
第10回～第28回代数的組合せ論シンポジウム報告集電子版を公開しました。
第３０回代数的組合せ論シンポジウム報告集
第３０回代数的組合せ論シンポジウム報告集（電子版）を公開しました。
第３１回代数的組合せ論シンポジウム報告集
第３１回代数的組合せ論シンポジウム報告集（電子版）を公開しました。
Maximal m-distance sets containing the representation of the Hamming graph H(n,m)
The paper "Maximal m-distance sets containing the representation of the Hamming graph H(n,m)" has been published on Discrete math. Online first
報告集(AC2015)
第11回「代数学と計算」研究集会 (AC2015)の報告集が掲載されました。
野崎寛
(0, ±1) ベクトルの最大距離を避ける最大部分集合について
第11回「代数学と計算」研究集会(AC2015)報告集, 126--131
Maximizing the order of a regular graph of given valency and second eigenvalue.
The paper "Maximizing the order of a regular graph of given valency and second eigenvalue" with Sebastian M. Cioabă, Jack H. Koolen, and Jason R. Vermette has been accepted for publication in SIAM J. Discrete Math.
Maximal m-distance sets containing the representation of the Hamming graph H(n,m)
The paper is available on arXiv:1602.01215.
arXiv:1602.01215
Polynomial Properties on Large Symmetric Association Schemes
The paper "Polynomial Properties on Large Symmetric Association Schemes" has been published.
On the largest subsets avoiding the diameter of (0,±1)-vectors
The paper "On the largest subsets avoiding the diameter of (0,±1)-vectors" with Saori Adachi
has been accepted for publication in ARS MATHEMATICA CONTEMPORANEA.