Researcher Information

Shin-Ichiro Ei

Professor

Mathematical approach to pattern formation problems

Department of Mathematics, Mathematics

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Theme

Analysis of dynamic behavior of solutions for nonlinear evolutional equations

Fieldnonlinear analysis, asymptotic expansion, reaction-diffusion systems

Department of Mathematics, Mathematics

Shin-Ichiro Ei

Professor

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What do you usually do when your research work gets stuck?

Recently, I have been so busy, and my work always gets stuck. I cannot see how to overcome it. But I remember once succeeding in overcoming a difficult math problem many years ago. At that time, I was trying to find out a way to prove a math problem and checked many literatures in order to get a clue to solve it. But it didn’t work well. So, I stopped checking the books and decided to figure out on my own. I continued to think about it all day and night and the problem even appeared in my dream. After days of thinking, I found some clues to solve it and finally I got an answer, which is one of my best works ever now. This story suggests you that the most important thing is to think on your own and concentrate on it. It also suggests that a truly-satisfying result can be obtained only by struggling hard.

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Please briefly introduce us to the big project you have been tackling.

I aim to express patterns in life by mathematical formula and to construct theories to predict patterns. Now we are developing one method to deal with fly eyes and extending it applicable to other more complicated patterns. It also leads to a dream technology controlling living patterns freely.

Fly eyes
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Who is the researcher you respect most and why?

I respect Newton, Euler, Fourier and Einstein, who are all well-known researchers. The common point to all is that they proposed new concepts and developed powerful methods. For example, Newton established calculus and gave the basis to express natural phenomena by mathematical formula, and it was treated in a mathematically rigorous way 100 years later. I dream to discover and develop such new ideas and techniques.