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A Presentation By Wayne Lawton Department of Mathematics National University of Singapore. “ Too few people recognize that the high technology so celebrated today is essentially a mathematical technology. “ . by Edward E. David (former president of Exxon R & D). INTRODUCTION.
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A Presentation By Wayne Lawton Department of Mathematics National University of Singapore
“Too few people recognize that the high technology so celebrated today is essentially a mathematical technology. “ by Edward E. David (former president of Exxon R & D) INTRODUCTION • Mathematics • the fundamental language of Science and Engineering and provides a rich source of intellectual tools for solving scientific and industrial problems
INTRODUCTION • Many universities and research institutions in US, Europe, UK and Australia have formed centres to recognise the fundamental role of Mathematics in solving scientific and industrial problems
International Centres Minnesota Centre for Industrial Mathematics Oxford Centre for Industrial and Applied Mathematics (OCIAM)
International Centres Fraunhover Institute for Industrial Mathematics
International Centres European Consortium For Mathematics in Industry Involved 18 universities throughout Europe
OBJECTIVES OF CIM • To promote and conduct upstream multidisciplinaryresearch in mathematics as well as research in industry related problems that can be modelled mathematically • To act as a focal point for industrial and applicable mathematics within NUS and more widely Singapore, and to link with similar activities on a world-wide basis
OBJECTIVES OF CIM • To enhance our undergraduate and postgraduate education programmes by providing opportunities for our best students to work on research with real life applications • To develop tools and mathematical methods for advanced scientific computing • To publish high quality multi-disciplinary research in mathematics and its applications in international refereed journals and conferences
Core Expertise in Strategic Areas • CIM also aims to build on the strength of the Department in the following five strategic research areas relevant to the economic activities of Singapore: • Wavelets, Approximation and Information Processing • Coding Theory and Information Integrity • Scientific Computing, Optimization and Operational Research • Computational Biology • Financial Mathematics and Mathematical Economics
ORGANIZATION OF CIM • Formed in July 2001 • An umbrella organization • Co-ordinate and support the activities of the five strategic research groups in the Department of Mathematics • Build industrial links • Provide manpower training and upgrading skills in mathematical sciences • Staffing in the centre: • Director • Deputy Director • Staff members interested in multidisciplinary research in mathematics and its applications to solve scientific, engineering and industrial problems
INTERNATIONAL LINKS • Necessary to tap into international talent pool for CIM to contribute to the solutions of a wide range of industrial problems • Established links with similar centres in US and Europe • European representatives pledged their support for the proposed CIM to be a member of ECMI • CWAIP will be a major component. It has established strong research ties with the Wavelets IDR Centre and research collaborations with John Hopkins Medical School in the US
IHPC-CIM Collaboration Research funding support from IHPC for 2001-2005: To conduct upstream basic and applied research in the following areas in Scientific Computing: • Wavelets-Galerkin Method for PDEs • Computational Optimization • Large-Scale Problems in Systems and Control • Mathematical Modeling, Analysis and Simulation in Material Science • Differential Algebraic Equation and its Applications • Wavelets for Data Compression in e-Engineering Applications
IHPC-CIM Collaboration Other Cooperation: • Co-supervision of M.Sc. and Ph.D. students • Co-supervision of post-doctoral research fellows • Joint organization of Seminars, symposia and local/international conferences
Some other Industrial Collaborations • CIM-Singapore International Airlines Projects on (1) Airline Pricing Models (2) Wait List Model and Benefit Assessment • Co-supervision of M.Sc students • Scholarship top-up from SIA for M.Sc. Project
Some Industrial Collaborations • Industrial Attachments at CIM: (1) Financial Software for Pricing Exotic Options (2) Risk Management Systems for Interest Rate Derivatives (3) Comparison of Simulation Methods for Estimating Value at Risk
Education Initiatives • Coordinate the running of the General Education module: Introduction to Cybercrime • Coordinate the Joint NUS-TUM M.Sc. Program in Financial and Industrial Mathematics