PROGRAM

## PROGRAM

### Overview

Global COE Program

#### Education-and-Research Hub for Mathematics-for-Industry

Graduate School of Mathematics, Kyushu University

Department of Computer Science and Communication Engineering, Graduate School of Information Science and Electrical Engineering, Kyushu University and Department of Mathematics, Graduate School of Science, Kobe University

##### 【Overview】

Math-for-Industry (hereafter referred to as MI) is a new research field in mathematics, which will serve as the foundation for developing future technologies. MI will integrate and reorganize pure and applied mathematics into a fluid and versatile form so that it can respond to the needs of industrial technologies. Building upon our excellent achievements in areas such as statistics and probability theory, numerical and algebraic computations, and integrable systems in collaboration with Kobe University, this program aims to further our pioneering and systematic initiatives as well as to establish a world-renowned MI education and research center. Because a new breed of researchers is essential to conduct MI research, this program will conduct MI education and research as well as train young internationally minded mathematicians who will shoulder the future of technologies.

##### 【Background】

Advances in mathematics are essential for future technologies, and a thirst for advanced mathematics is already apparent. In fact, according to the analysis by the National Institute of Science and Technology Policy of the Ministry of Education, Culture, Sports, Science and Technology in 2006, the percentage of research and development personnel in the private sector in Japan with a mathematical background should ideally be about 65%, which is comparable to that of the West, while the current percentage is only 26%. Moreover, the same analysis in 2007 notes an inadequate training on the fundamental research level in all fields. As Japan aims for sustainable development of science and technology of the nation, it is an urgent issue to train people to fill this almost 40% gap, including MI doctors (mathematics researchers in industry) and young MI researchers (at universities and research institutes) to lead the world.

Through our 21st Century COE Program, Development of Dynamic Mathematics with High Functionality (2003 – 2007), the Graduate School of Mathematics has been actively conducting our efforts to produce a new type of Ph.D.’s with initiatives, which include founding the Functional Mathematics Course (April 2006) to produce Ph.D.’s capable of working in industry as well as introducing a long-term internship program (three months or longer). Additionally, we inaugurated the Mathematical Research Center for Industrial Technology (MRIT) in April 2007 to conduct academia-industry collaborative researches in mathematics.

Moreover, as part of the Support Program for Improving Graduate School Education under Ministry of Education, Culture, Sports, Science and Technology titled “Training Program for Ph.D. and New Master’s in Mathematics for Industry” (2007 – 2009), we launched a mathematics version of the MBA program, Master of Mathematics Administration (MMA). The MMA course is designed to train (Master course) graduate students to be experts in coordinating research and development activities in industry based on mathematics from broad and long-term perspectives. It is also expected that graduates from this program will make a significant contribution as MI research personnel along with traditional Master’s in mathematics.

##### 【Purpose and Program】

The past 21st Century COE Program “Development of Dynamic Mathematics with High Functionality” of functional mathematics is an international-caliber research program. This Global COE Program integrates and reorganizes pure mathematics and functional mathematics to launch Math-for-Industry, which will pioneer future technologies. Specifically, in addition to strengthening numerical analysis and statistics, which are the driving forces in functional mathematics, with computer algebra and learning theory, respectively, we will integrate and reorganize a wide range of mathematics fields, including algebra, geometry, analysis, mathematical physics, and probability theory. Moreover, we will undertake MI research projects, which center on discrete integrable systems, biological and life mathematics, financial engineering, fluid dynamics, and cryptography, thereby establishing a world-class center for research in visualization, numerical analysis, computer algebra and statistical science.

The rigorous curriculum for MI researchers, which includes expanded long-term internship program, will enhance the Functional Mathematics Course of our Ph.D. Program, and thus, establish a unique degree granting system. Moreover, we will introduce a substantial postdoctoral program to train excellent research mathematicians to practice mathematics for technology in the international arena. These initiatives will create a world-class hub for education and research, which will generate an innovative form of collaboration between mathematics and society.

##### 【Future Development Plans:】

We intend to develop an environment where we continually cultivate people to lead the world’s mathematics research (MI Researchers) toward creating innovative technologies. At the same time, we will establish an MI doctorate training system to significantly contribute to the research and development scene.

Thus, young researchers trained in our program should form the core of mathematics research personnel and lead Japan in its endeavor to prosper as “Manufacturing large country”. Continuously producing such research personnel will heighten the recognition of the importance of mathematics in research and development activities, which will drastically improve the possibility of generating technological breakthroughs.

This program will also establish a system where researchers of fundamental theory of mathematics, who are interested in and familiar with industrial technologies, are continuously produced. Hence, the MI education and research system will be an important and influential model for graduate level mathematics education in Japan.

In order to accelerate this program, Kyushu University is planning to inaugurate the International Research Center for MI at the Ito Campus in 2011 to commemorate its 100th anniversary. We will further build the Ito MI Research Park placing this new Research Center at its core to establish an international hub for MI.

##### 【Academic Publications:】

We publish the following publications as part of our program:

- ・Journal of Math-for-Industry (JMI e-journal)
- ・MI Lecture Note Series (COE Lecture notes)
- ・MI Preprint Series (Kyushu University Repository)