Futoshi Hayasaka

Mathematical and Data Sciences
Fuculty of Engineering
Okayama University
E-mail: hayasaka@okayama-u.ac.jp
Office: 606 Environmental Science and Technology Building
Postal address: Department of Environmental and Mathematical Sciences, Okayama University, 3-1-1 Tsushima-naka, Kita-ku, 700-8530, JAPAN

Laboratory

Our research interest is applications of commutative algebra to mathematical and data sciences. We are particulaly interested in computing Groebner basis of ideals/modules systematically related to polynomial models appearing in algebraic statistics. We also welcome students who want to be a (junior) high school teacher.

Current:

Y. Nabeshima (M2)
T. Nomura (M2)
K. Takabuchi (B4)

Teaching

Click the course title to jump to the Moodle page (only for students).

2025:

離散数学入門, 代数系の基礎, 代数系の応用, 専門英語
行列と連立1次方程式, 行列式とベクトル空間
応用代数学特論, 数理情報科学概論, 数理情報科学とSDGs

Research

My research interest is in commutative algebra. I am particularly interested in the theory of integral closure, multiplicity, and Rees algebra of ideals/modules. I am also interested in computational aspects of commutative algebra and its applications to mathematical and data sciences.

Papers:

F. Hayasaka and V. Kodiyalam, Note on length and multiplicity of modules over two-dimensional regular local rings, accepted in Proceedings of the American Mathematical Society
F. Hayasaka and H. Imamura, An example to a question of Ratliff on asymptotic prime divisors, accepted in Rocky Mountain Journal of Mathematics
F. Hayasaka and V. Kodiyalam, Indecomposable integrally closed modules of rank 3 over two-dimensional regular local rings, Journal of Pure and Applied Algebra 228 (2024) Paper No. 107612, 18 pp.