Introduction to IMI activity etc. :Toward the

Asia Pacific Consortium of Mathematics for Industry

Masato WakayamaInstitute of Mathematics for Industry, Kyushu University

March 31 , 2014 (CSIRO, ANU Canberra)

Institute of Mathematics for Industry(1st of its kind in Japan)

Ito CampusKyushu University

Location of IMI

2

6 Special zone in JapanTokyo, Kansai (including Osaka, Kyoto), Fukuoka, Okinawa, Niigata

-Historical Background in Japan-

Manyo Period (Nobles Era)

Use of mathematical puns by the oldest Japanese poets(the Manyo-shuu anthology)

7-8 Centries

1603 →→→ 　 1868Edo Period (Samurai Era)・ close the country・ peaceful (no-buttle) period

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

→→1868 →→→ 　 1912Meiji Period (Open the country)

1926 →→ 1989 →→→Showa Period (2nd World War 1939-1945)

1989 →→→Heisei Period

Social system, law etc.. ← 　 Britain 　 importedScience, Technology ← 　 Germany 　 importedCulture, Arts ← 　 France 　 imported

Mathematics:Gottingen →→→ 　 Pure Math.Technical Univ. s →→→ 　 Applied Math. hardApplied Math. (but rather implicitly)

Newly establishedUniversity Engineering School at, e.g. Mechanical eng. , Electronic eng., Precision machinery eng.

→Japan’s period of advanced growthThe source of development of High-Tech. in Japan

∵ 　 Before gettingHigh Performance Computer 〜 1990’s middle

∃ Many Strong Applied Mathematicians (But, was not regarded as a mathematician)

After that ♯{such strong applied mathematicians} decreases

-Historical Background in Japan-

Policy Study No.12 in 2006 by the NISTEP of MEXT 　　　 NISTEP: National Institute of Science and Technology Policy

“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

The report said:

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 　

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)

High demand for workers in basic research Report 2007

*Instit. for Math. Its Appl., Univ. of Minnesota (USA, 1982 - )*Oxford Centre for Indust. Appl. Math. (OCIAM), (UK, 19889 - ), OCCAM (2008-)*Fraunhofer Instit. 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), …………….

World’s trend towards mathematics for industrial technologies

From “Mathematics – Science now in Oblivion ” 2

“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)

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.

October 2009-March 2010

Investigation Project commissioned by MEXT 2009

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

History of IMIApril 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, JapanApril 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

MEXT: Ministry of Education, Culture, Sports, Science and Technology

What is Math-for-Industry

World-class RSEs in MIUnivs/RIs/Industry R&D labs

▪Modeling▪Visualization▪Simulation

Breakthroughs

Needs-/seeds-orientedResearch themes

MathematicsStatistics

Computer

PhDs in MI

Technology Innovation

FinanceIT

ManufacturingEnergy

Environmental

PharmaceuticalMedicalR&D

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.

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-

Center of Innovation, MEXT2013 - 2021

Industrial Mathematics UnitJoint Project withHONDA, NTT, OLM Digital

Ito Campus February, 2015

ANUCSIRO

SUT,Sydney Univ.

Massey Univ., New Zealand

La Trobe, Melbourne, RMIT Univ.

+ IMI Branch at La Trobe　

UTM, Malaysia

King Mongkut’s Institute of Technology,

Thailand

Vietnami

Fudan Univ., China

KAIST, South Korea Univ. Tokyo,

Japan

IMI, Kyushu Univ. Japan

QUT

Europe Canada

U.S.

APCMI

UBD, Brunei

BIT, Indonesia

NUS, SingaporeCMM, Chile

Univ. of Hawaii

APCMI: the Asia-Pacific Consortium of Mathematics-for-Industry

ECMI

Accepted enterprises FieldsAlgebraic Geometry, Operator Algebra, Number Theory, Differential Geometry, Representaion Theory

17

Statistics, Number Theory, Mathematical Physics, Combinatorics 8

Statistics, Numerical Analysis, Fluid Dynamics 3

Fluid Dynamics, Operator Algebra 2

　　 Fluid Dynamics, Numerical Analysis 2

Numerical Analysis, PDE 3

Topology 1

Representation Theory 1

Probability 1

Computer Science 4

Topology, Statistics 3

（ IT ） Statistics 1

　　　　　 (Insurance)

Game Theory 1

Statistics 1

Cryptographic Theory 1

Fluid Dynamics 1

Intern period: 3 months or longer

More career path options

Valuable industry R&D experiences

Unique PhD course: Functional Math

Internships (2006 – 2013)

Results of long-term internship （ 2006 ）

Accepted company Student’s Field of Specialization

Research theme Special mention

HITACH Statistics Face recognition

HITACH Numerical analysis Analysis of electromagnetic fields

Patent and joint paper

NTT(NIPPON TELEGRAPH AND TELEPHONE

CORPORATION)

Algebraic geometry Information processing of visually movements

Joint paper

NTT Algebraic geometry Cryptography Discovery of a new visual effects

Mitsui Engineering & Shipbuilding Co., Ltd.

Topology Fluid analysis

TOSHIBA Statistics Information processing

Ube Industries, Ltd. Fluid dynamics Fluid analysis in the chemical device

Job offer

DIC Corp. Numerical Anal. Liquid crystal simulation PhD course (still)

IBM Japan Probability theory Tree structure data anal. 15

Results of long-term internship （ 2007 ）

Accepted company Student’s Field of Specialization

Research theme Special mention

FUJITSU Computer Algebra Optimization Invited a researcher as a professor

Ube Industries, Ltd. Numerical analysis Fluid analysis Job offer

PANASONIC Numerical analysis Electronics system modeling

Job offer

Nisshin Fire & Marine Insurance Co.,Ltd.

Game theory Risk management Joint research project

Zetta Technology Inc. Statistics Data analysis

MAZDA MOTOR Corp. Representation theory & Number theory

Time series Analysis Patent, Joint research projectsJob offer

TOSHIBA Number theory Cryptography

TOSHIBA Mathematical physics Processor analysis

NTT Operator theory Data compression Joint paper16

Results of long-term internship （ 2008 ）

17

Accepted company Student’s Field of Specialization

Research theme Special mention

ING Insurance Statistics Risk management Worked in Tokyo, but did in English.

TOSHIBA Combinatorics Cryptography

NTT Differential geometry Image compression

NTT Operator theory Video encoding

DIC Corp. Operator theoryInk particle(Liquid Crystal Display)

NIPPON STEEL Corp. Statistics Data processing

Solved the assignment by a month, patent

Results of long-term internship （ 2009 ）

18

Accepted company Student’s Field of Specialization

Research theme Special mention

TOSHIBA Statistics Data analysis

NTT Number theory CryptographyPresented at a congress;Joint research

PANASONIC Nonlinear analysis (PDE) Power device modeling

Results of long-term internship （ 2010 ）

Accepted company Student’s Field of Specialization Research theme

TOSHIBA Algebraic Geometry Codes research by using chaos

TOSHIBA Theoretical Computation Visual effects

NTT Statistics Data analysis and learning

NTT Representation TheoryInformation Geometry

Cryptography

Nessan Heat Corp. Number Theory 3-dim simulationfor heating control

Nat. Inst. Comm. Tech. Number Theory Cryptography

FUJITSU Optimization Theory Optimization

NTT Information Geometry Independence control method for presence display using individual attribution

NTT Information Security Pairing-Based Cryptography

NTT Number Theory Distant sound collecting technology 19

20

Accepted company Student’s Field of Specialization

Research theme

Environmental Technology Service Co., Ltd. Combinatorics Reuse of lithium-ion batteries

FUJITSU CryptographyDecipherment experimentation for discrete logarithmic problems

NTT Operator AlgebraIllusions for the sense of touch and applications to interfaces

CATALER CORPORATION Hypergeometric Function

Quality control of catalyst for automobiles, etc.

PANASONIC Mathematical Analysis, PDE

Technology of Optical character recognition

Results of long-term internship （ 2011 ）

Results of long-term internship （ 2012 ）

Accepted company Student’s Field of Specialization

Research theme

National Institute of Information and Communications Technology

Cryptography グレブナ基底を利用した離散対数問題の安全性解析

FUJITSU Mathematic Statistics国債取引データをもとにしたイールドカーブの推定に関する研究

NTT Topology テキストからのユーザー情報抽出 / 推定に関する研究

NTT Cryptography Information Security, Cryptography

NTT Computer Science 機械学習手法による単一静止画像からの奥行推定

Nippon Steel &Sumitomo Metal Differential Geometry 材料解析のための図形の数学表

現に関する研究

Progressing now; long-term internship （ 2013 ）

Accepted company Student’s Field of Specialization

Research theme

TOSHIBA Number Theory 計算困難性評価のための新パラメータの導入とその考察

NTT Software Science デプスマップからの 3-D/ メッシュ復元

HITACHI Fluid dynamics Development of Engine Model

JFE Steel Fluid dynamics Optimization of Fluid Analysis

Study Group at IMI

Participating companies share their problems with the audience consisting of industry engineers, math grad students & professors.

Each problem is worked out in a group of interested participants in a separate room for a few days.

Each study group reports its results to the overall meeting at the end of the week-long workshop.

☛ Partial/full solutions☛ Leads to solutions☛ Opportunities for gaining new perspectives☛ Opportunities for career path & recruiting

Wednesday ⇒ Friday (IMI, Kyushu Univ.)

Saturday & Sunday : Programing & Trip to Tokyo

Monday & Tuesday (Univ. Tokyo)

Institute for Infocomm Research How to Crack Windows Password by Equation Solving

SUMITOMO MITSUI BANKING CORPORATION A study of verification and validation of risk management models

Mitsubishi Electric Corporation Generating Pairing-Friendly Elliptic Curves (in Cryptography)

Hitachi,Ltd Analysis of Social Media Data

Yamaha Corporation Mathematical Issues in Sound Engineering

NIPPON STEEL & SUMITOMO METAL CORPORATION

Mathematical models for traffic flow: Mathematical consideration regarding the relationship

Kao Corporation New Approch with Mathmatics for Real Kao Marketing

The 4th SG: July 31-August 2 & 5-6, 2013Kyushu University & University of Tokyo

Study Group Workshop 2010-2013

25

HITACHI FUJISTU ResearchTOSHIBA FUJITSUC. Pandu Rangan (Indian Institute of Technology)

NEC

OLM Digital NTTJ.P. Lewis (Weta Digital Ltd./Victoria Univ.)

NipponSteel & Sumitomo Metal

Nippon Steel & Sumitomo Metal OLM Digital Bob Anderssen (CSIRO) Mitsubishi ChemicalKaoTakeda Pharmaceutical Company

Study Group Workshop 2010,2011Entry Numbers 120

Kyushu University & The University of Tokyo

Entry Num. over 100（ Graduate Stu.56, PhD14,

Professors 30 over ）

26

Railway Technical Research Institute(JR)

Institute for Infocomm Research

FUJITSU Mistui Sumitomo Bank

OLM Digital MITSUBISHI

Kao HITACHI

NTT YAMAHA

Nippon Steel & Sumitomo Metal

Nippon Steel & Sumitomo Metal

Riken Kao

Study Group Workshop 2012, 2013

Entry Numbers

76

Kyushu University & The University of Tokyo

Entry Numbers

98

Forum “Math-for-Industry”

FMI2009 FMI2009 FMI2010 FMI2011 FMI2012 FMI2013

Tokyo Fukuoka Fukuoka Honolulu Fukuoka Fukuoka

Sep. 19-17 Nov. 9-13 Oct. 21-23 Oct. 24-28 Oct. 22-26 Nov. 4-8

The 1st Forum:Consortium Math For Industry

Casimir Force, Casimir Operators and the Riemann Hypothesis

Information Security, Visualization,

and Inverse Problems, on the basis of

Optimization Techniques

TSUNAMI - Mathematical Modelling- Using Mathematics for Natural Disaster Prediction, Recovery and Provision for the Future -

Information Recovery and Discovery

The Impact of Applications on Mathematics

F

Plants

Insects

AnimalApplied Mathematics

Industrial Mathematics

Pure Mathematics

alimentation

eat

eat

implicit/explicit demand from societyadvance of research

Nature Science Technology

Photosynthesis Intellectual curiosity

I

A

P

I

A

P

28alimentation from ground

eat

eat

Feeding

PAI

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