Kenji Kajiwara | Last modified date：2019.01.04 |

Graduate School

Undergraduate School

Administration Post

Other

E-Mail

Homepage

##### http://researchmap.jp/Kenji_Kajiwara/?lang=english

##### http://www.gandalf.imi.kyushu-u.ac.jp/~kaji/index.html

Academic Degree

Ph.D(engineering)

Country of degree conferring institution (Overseas)

No

Field of Specialization

integrable systems, discrete differential geometry

ORCID(Open Researcher and Contributor ID)

0000-0002-0543-9384

Total Priod of education and research career in the foreign country

00years00months

Outline Activities

I have been engaged in research and related educational activities in

the area of the theory of nonlinear integrable systemｓ and discrete differential geometry. As for social activities, I gave a lecture at the public

lectures organized by graduate school of mathematics in 2002. I also

wrote articles in mathematical magazines such as "Suugaku Seminar" and

in some computer magazines.

the area of the theory of nonlinear integrable systemｓ and discrete differential geometry. As for social activities, I gave a lecture at the public

lectures organized by graduate school of mathematics in 2002. I also

wrote articles in mathematical magazines such as "Suugaku Seminar" and

in some computer magazines.

Research

**Research Interests**

- Development of discrete differential geometry by means of discrete integrable systems

keyword : integrable systems, discrete systems, soliton equations, discrete differential geometry

2008.04. - Study of the Painlev\'e systems

keyword : integrable systems, discrete systems, Painlev\'e systems, special functions

1993.04Studies of the Painleve systems. - Ultradiscretization of solvable chaotic systems and tropical geometry

keyword : solvable chaotic systems, ultradiscretization, tropical geometry

2007.12～2011.03.

**Current and Past Project**

- Work on integrable discrete dynamical systems; discrete integrable systems to boundary value problems of practical interest in heat and mass flow; the ability to construct new solutions of the differential equations for scale-invariant curvature-driven evolving curves and scrolls
- This project aims to solve long-standing problems in discrete dynamical systems that are of particular interest to physics, by using reflection groups to reveal unexpected geometric insights. Mathematics has the power to abstract crucial patterns from complex observations. Symmetries familiar in the real world, like the hexagonal patterns of honeycombs, arise inside convoluted structures in high-dimensional systems. By revealing the structure of space-filling polytopes in integrable systems, the project seeks to find sought-after reductions of high-dimensional discrete models to two dimensions. Expected outputs include new reductions to discrete Painlevé equations, new circle patterns useful for computer graphics and discrete holomorphic functions.

**Academic Activities**

**Papers**

**Presentations**

**Membership in Academic Society**

- Australian Mathematical Society

Educational

**Educational Activities**

I have been in charge of mathematical courses of graduate school of mathematics, department of mathematics, faculty of engineering. I also supervise students at seminars of department of mathematics and graduate school of mathematics. Moreover, I organize "Kyushu Integrable Systems Seminar" and "La Trobe-Kyushu Joint Seminar on Mathematics for Industry" to provide a chance for graduate students to get in touch with the most recent researches.

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