Masato Wakayama Institute of Mathematics for Industry, Kyushu University

1. Introduction to IMI activity etc. :Toward the Asia Pacific Consortium of Mathematics for Industry Masato Wakayama Institute of Mathematics for Industry, Kyushu University March 31 , 2014 (CSIRO, ANU Canberra)

2. Location of IMI 6 Special zone in Japan Tokyo, Kansai (including Osaka, Kyoto), Fukuoka, Okinawa, Niigata Institute of Mathematics for Industry (1st of its kind in Japan) Ito Campus Kyushu University

3. -Historical Background in Japan- 7-8 Centries 1603 →→→1868 Edo Period (Samurai Era) ・close the country ・peaceful (no-buttle) period Manyo Period (Nobles Era) Use of mathematical puns by the oldest Japanese poets (the Manyo-shuu anthology) Takakazu SEKI (1642-1708) ・1674 Discovery of ・determinant (←resultant)＜(Leibniz 1683) ・Bernoulli number 〜Jacobi Bernoulli almost the same time Discovery of ・Derivative & Integral 〜Newton, Leibniz (BUT, No discovery of Fundamental theorem of Calculus) ・Mathematics votive tablets (San-gaku) featuring mathematical puzzles mainly Euclidean Geometry ・Abacus (very popular) three five nights (=十五夜=15 nights) =full moon

4. -Historical Background in Japan- 1926 →→ 1989 →→→ Showa Period (2nd World War 1939-1945) 1989 →→→ Heisei Period →→1868 →→→1912 Meiji Period (Open the country) Social system, law etc.. ←Britainimported Science, Technology ←Germanyimported Culture, Arts ←Franceimported Mathematics: Gottingen →→→Pure Math. Technical Univ. s →→→Applied Math. hard Applied Math. (but rather implicitly) Newly established University Engineering Schoolat, e.g. Mechanical eng., Electronic eng., Precision machinery eng. →Japan’s period of advanced growth The source of development of High-Tech. in Japan ∵Before getting High Performance Computer 〜1990’s middle ∃ Many Strong Applied Mathematicians (But, was not regarded as a mathematician) After that ♯{such strong applied mathematicians} decreases

5. From “Mathematics – Science now in Oblivion ” 1 Policy Study No.12 in 2006 by the NISTEP of MEXT NISTEP: National Institute of Science and Technology Policy The report said: “Japanese Mathematics is not so strong as we had believed/expected” ⇒ The report gave the mathematics community in Japan which has been strongly oriented by pure mathematics a “Shock”! Reason: Weakness/thinness of Applied Mathematics/Mathematicians

6. From “Mathematics – Science now in Oblivion ” 2 Policy Study No.12 in 2006 by the NISTEP of MEXT NISTEP: National Institute of Science and Technology Policy It is desirable to have the same percentage of workers in the private sector of research and development as the West, which is 65%. However, in Japan the percentage in the private sector is only 26%. This shortage and nearly 40% gap relative to the West must be overcome. (Need Supporting Fund. From Government, also) Report 2007 High demand for workers in basic research World’s trend towards mathematics for industrial technologies *Instit. for Math. Its Appl., Univ. of Minnesota (USA, 1982 - ) *Oxford Centre for Indust. Appl. Math. (OCIAM), (UK, 19889 - ), OCCAM (2008-) *FraunhoferInstit. for Tech. and Indust. Math. (Germany, 2000- ) *European Consortium for Mathematics in Industry (ECMI, 1986 - ), *OECD/Global Science Forum “Reports on Mathematics in Industry” (2008,2009), *MATHEON (Germany), *MITACS (→ ＭＰＲＩＭ, Canada), …………….

7. Investigation Project commissioned by MEXT 2009 “Investigation and estimation of promotion of cooperation of mathematics and mathematical science with other fields ― Toward a proposal for the 4th governmental science & technology master plan” Implementing Organization: Kyushu University (Main), University of Tokyo, Mathematical Society of Japan, Nippon Steel Company. Representative: Masato Wakayama (Kyushu University) October 2009-March 2010 We investigate and estimate the activities of mathematics and mathematical science, and those of their cooperation with the other fields that have been implemented in Japan, and thereby gain ideas for making a proposal to the Japanese government for promoting mathematics and for strengthening cooperation with various fields surrounding mathematics.

8. 1. “The 4th governmental science & technology master plan” of the Prime Minister’s Council of Science and Technology Policy (CSTP), has specifically mentioned that “Mathematical Sciences” is important and should be promoted (the first time). 2011 2. Mathematics Innovation Unit in MEXT was established (2011) 3. The committee of Innovation by -and for- Mathematics has been established under the Committee for Science and Technology in the government (2011) 4. 2011 (2012) : MEXT-joint organizations for 22 (36) workshop in Mathematics (Math. Science & Math-for-Industry) + Another Funds, 2012, 2013 5. Coop with Math Program

9. MEXT: Ministry of Education, Culture, Sports, Science and Technology History of IMI April 1911 Kyushu University one of 7 imperial universities originally founded in Japan June 1939 Department of Mathematics, founded in the Faculty of Science June 1994 Graduate School of Mathematics & Faculty of Mathematics April 2007 Mathematical Research Center for Industrial Technology (MRIT), inaugurated as part of the 21st Century COE Program: “Development of Dynamic Mathematics with High Functionality” (FY2003-2007) sponsored by MEXT, Japan April 2008 Global COE Program “Education & Research Hub for Mathematics-for-Industry” (FY2008-2012) sponsored by MEXT, April 2011 Institute of Mathematics for Industry April 2013 IMI: Recognition by MEXT as -Advanced and Basic Research Joint Use Hub for Mathematics for Industry – Nov. 2013 Center of Innovation Program (MEXT/JST) IMI promotes Industrial Mathematics -2021

10. What is Math-for-Industry ▪Modeling ▪Visualization ▪Simulation World-class RSEs in MI Univs/RIs/Industry R&D labs Breakthroughs Statistics Mathematics Computer Technology Innovation Finance IT Needs-/seeds-oriented Research themes Manufacturing PhDs in MI Energy Environmental R&D Medical Pharmaceutical Math-for-Industry (MI) is a new research area that serves to create advanced technologies in response to industrial needs by innovating flexible and versatile methods in mathematics, statistics & computing. Feedback to mathematics from these activities is highly expected.

11. Organization ◆ Division of Advanced Mathematics Technology <# of staff: 9> Dedicated to promoting collaborative research with industry and other scientific disciplines with the aim to develop advanced technologies leveraged by mathematics and statistics. ◆ Division of Applied Mathematics <9> Comprised of pure and applied mathematicians pursuing theoretical research works for applications in industry as well as in other scientific disciplines. ◆ Division of Fundamental Mathematics <7> Consisting of pure mathematicians challenging to pioneer new mathematical tools so as to deal with those problems well-defined per se but yet to be solved. ◆ Laboratory of Advanced Software in Mathematics (LASM) <4> Staffed with experts in various areas of mathematics and statistics to implement advanced theories built in IMI in the form of open-source software. February 2012- ◆ Australia Branch <2> September 2014- ◆ Fujitsu Joint Research Section <1+ 2(people from Fujitsu) > September 2014-

12. Center of Innovation, MEXT2013 - 2021 Industrial Mathematics Unit Joint Project with HONDA, NTT, OLM Digital Ito Campus February, 2015

13. APCMI APCMI: the Asia-Pacific Consortium of Mathematics-for-Industry Canada Europe ECMI KAIST, South Korea Univ. Tokyo, Japan Fudan Univ., China U.S. IMI, Kyushu Univ. Japan Vietnami King Mongkut’s Institute of Technology, Thailand UBD, Brunei Univ. of Hawaii UTM, Malaysia QUT BIT, Indonesia SUT, Sydney Univ. NUS, Singapore CMM, Chile Massey Univ., New Zealand ANU CSIRO La Trobe, Melbourne, RMIT Univ. + IMI Branch at La Trobe

14. Internships (2006 – 2013) Intern period: 3 months or longer Unique PhD course: Functional Math Valuable industry R&D experiences More career path options

15. Results of long-term internship （2006）

16. Results of long-term internship （2007）

17. Results of long-term internship （2008）

18. Results of long-term internship （2009）

19. Results of long-term internship （2010）

20. Results of long-term internship （2011）

21. Results of long-term internship （2012）

22. Progressing now; long-term internship （2013）

23. Study Group at IMI Participating companies share their problems with the audience consisting of industry engineers, math grad students & professors. Wednesday ⇒ Friday (IMI, Kyushu Univ.) Each problem is worked out in a group of interested participants in a separate room for a few days. Saturday & Sunday : Programing & Trip to Tokyo Each study group reports its results to the overall meeting at the end of the week-long workshop. Monday & Tuesday (Univ. Tokyo) ☛ Partial/full solutions ☛ Leads to solutions ☛ Opportunities for gaining new perspectives ☛ Opportunities for career path & recruiting

24. Study Group Workshop 2010-2013 The 4th SG: July 31-August 2 & 5-6, 2013 Kyushu University & University of Tokyo

25. Study Group Workshop 2010,2011 Entry Numbers 120 Entry Num. over 100 （Graduate Stu.56, PhD14, Professors 30 over） Kyushu University & The University of Tokyo

26. Study Group Workshop 2012, 2013 Entry Numbers 98 Entry Numbers 76 Kyushu University & The University of Tokyo

27. Forum “Math-for-Industry”

28. PAI Nature F Intellectual curiosity Science Technology Photosynthesis I Industrial Mathematics I Insects eat Animal A A eat Applied Mathematics eat eat alimentation Feeding P Pure Mathematics Plants P implicit/explicit demand from society advance of research alimentation from ground

29. Benefits • Complementary Research Area & Industrial situation • “Mathematics” is not easy to recognized by nations; International collaboration makes Mathematics more visible • Not so big time difference, in principle • Pure mathematics can be involved easily in this area • Students exchange can became easy: (From Japan) English speaking country (Outside of Japan) Japan has many high-tech companies which can accept students in English