Research field (2):
Algebra
, Applied mathematics and statistics
Research keywords (6):
mathematical crystallography
, number theory
, lattice
, quadratic form
, algorithm
, discrete mathematics
Research theme for competitive and other funds (4):
2022 - 2025 生物由来の新しいパッキング生成法による離散モデリング
2019 - 2024 study on discrete point sets to produce new applications of lattice theory and algebraic computation
2018 - 2021 Upgrading of the Fourier and global optimization techniques used in material structure analysis
2014 - 2018 結晶学的位相問題の解を列挙する理論とソフトウェアの開発
Papers (17):
Ramanujam Kamaraj, Ben Kane, Ryoko Oishi-Tomiyasu. Universal sums of generalized heptagonal numbers. JOURNAL OF NUMBER THEORY. 2023. 249. 500-536
Ryoko Oishi-Tomiyasu, Tomohito Tanaka, Junichi Nakagawa. Distribution rules of systematic absences and generalized de Wolff figures of merit applied to electron backscatter diffraction ab initio indexing. Journal of Applied Crystallography. 2021. 54. 624-635
Ryoko Oishi-Tomiyasu. Mathematical Tools that Connect Different Indexing Analyses. Proceedings. 2020
Ryoko Oishi-Tomiyasu. Positive-definite ternary quadratic forms with the same representations over Z. International Journal of Number Theory. 2020. 16. 7. 1493-1534
K Tomiyasu, R Oishi-Tomiyasu, M Matsuda, K Matsuhira. A new mathematical approach to finding global solutions of the magnetic structure determination problem. Scientific reports. 2018. 8. 1. 16228-16228
富安(大石) 亮子. On determination of the structure of a periodic point set from its average theta series (保型形式とその周辺). 数理解析研究所講究録. 2017. 2055. 81-95
Ryoko Oishi-Tomiyasu. Application of convex optimization to identification of atomic species from diffraction patterns. Powder Diffraction. 2017. 32. S1. S179-S185