Self-Introduction
ORCID: https://orcid.org/0009-0000-4188-3186
・I am a second-year doctoral student in the Department of Computer and Mathematical Sciences, Graduate School of Information Sciences, Tohoku University.
・JSPS Research Fellow (DC2), Japan Society for the Promotion of Science, from April 2026
・My main interests are algebraic combinatorics and quantum theory. The following are my current research interests.
Three major problems on spherical t-designs
1.1. Spherical T-designs
1.2. Geometric t-designs
Association schemes and their generalizations
2.1. Delsarte theory on multivariate Q-polynomial association schemes
2.2. Design theory on coherent configurations
2.3. Generalizations of algebraic combinatorics on the sphere
Foundations of quantum theory
3.1. Quantum contextuality — hypergraph approach
3.2. Topics related to SIC-POVMs — spectral optimization of Zauner-symmetric fiducial operators
Research
Antipodality of spherical designs with odd harmonic indices [Submitted to arXiv on 12 Oct. 2024, Accepted to Discrete Mathematics.] (with Munemasa and Sawa)
On Spherical $T$ -designs in $\mathbb{R}^2$ [Submitted to arXiv on 11 May 2025, Preparing for journal submission.] (with Nishimura)
Constructing Spherical Designs Using Tight $t$-Fusion Frames [Submitted to arXiv on 27 Jan. 2026; under review at a journal.]
Explicit Construction of Spherical $5$- and $7$-Designs [Submitted to arXiv on 25 Feb. 2026; under review at a journal.]