Kyushu University Academic Staff Educational and Research Activities Database
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Shizuo Kaji Last modified date:2022.05.26



Graduate School
Undergraduate School


Homepage
https://kyushu-u.pure.elsevier.com/en/persons/shizuo-kaji
 Reseacher Profiling Tool Kyushu University Pure
https://www.skaji.org/
https://github.com/shizuo-kaji/
Academic Degree
Doctor of Science
Country of degree conferring institution (Overseas)
No
Field of Specialization
topology
ORCID(Open Researcher and Contributor ID)
0000-0002-7856-6536
Total Priod of education and research career in the foreign country
02years00months
Outline Activities
My research interests are primarily in the areas of algebraic topology. More specifically, I study spaces with group actions, which exhibit a rich connection to algebraic/combinatorial objects such as graphs and polynomials. I am interested in this correspondence between topology and algebra/combinatorics, and I study topological problems through algebro-combinatorial techniques and vice versa. I am also working on applications of topology to various fields such as computer graphics.
Research
Research Interests
  • My research interests are primarily in the areas of algebraic topology. More specifically, I study spaces with group actions, which exhibit a rich connection to algebraic/combinatorial objects such as graphs and polynomials. I am interested in this correspondence between topology and algebra/combinatorics, and I study topological problems through algebro-combinatorial techniques and vice versa. I am also working on applications of topology to various fields such as computer graphics and data analysis.
    keyword : topology, industrial maths, shape processing, data analysis
    2008.04~2029.01.
Academic Activities
Reports
1. , [URL].
Papers
1. Shizuo Kaji, Kenji Kajiwara, Hyeongki Park, Linkage Mechanisms Governed by Integrable Deformations of Discrete Space Curves, Nonlinear Systems and Their Remarkable Mathematical Structures. Volume 2, CRC Press, https://doi.org/10.1201/9780429263743, 2019.12.
2. Soojin Cho, Suyoung Choi, Shizuo Kaji, Geometric representations of finite groups on real toric spaces, Journal of the Korean Mathematical Society, 10.4134/JKMS.j180646, 56, 5, 1265-1283, 2019.01, We develop a framework to construct geometric representations of finite groups G through the correspondence between real toric spaces XR and simplicial complexes with characteristic matrices. We give a combinatorial description of the G-module structure of the homology of XR. As applications, we make explicit computations of the Weyl group representations on the homology of real toric varieties associated to the Weyl chambers of type A and B, which show an interesting connection to the topology of posets. We also realize a certain kind of Foulkes representation geometrically as the homology of real toric varieties..
Works, Software and Database
1.
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