Modeling Methods allied with Modern Mathematics

Strategic Objective

Development of mathematical sciences to describe and analyze social issues in which basic principle is unclear

Research Supervisor


Takashi Tsuboi (Professor, Graduate School of Mathematical Sciences, The University of Tokyo)

Outline

In this research area, mathematicians and researchers applying mathematics form research teams to attack social issues which have been difficult to be solved. Through the problem-attacking process, we expect also the development of mathematics itself. More specifically, targeting the phenomena for which the governing principles and rules have been unclear, by using the abstractness and universality of mathematics as well as knowledge obtained through application, we advance research to derive innovative models based on mathematical ideas to find the hidden essence of them and to develop new mathematical methods to approach them. We include research for proving the validity of the description on the essence of phenomena by old and new mathematical models, as well as building mathematical theories and techniques for evaluating these models. The targets may be found in social, natural, or life phenomena. This may include others if the research aims to create new fields and give solutions to social issues.

In deriving mathematical models and solving issues, we attach importance on interactive communication not just among researchers in different fields of mathematics but also among researchers in applied fields, the experimental sciences, and information sciences. Furthermore, it is expected that derived mathematical models have universality and develop into modeling techniques that can be applied to solve issues in much wider fields.

Research Area Advisors

・Kazushi Ahara
Professor,Meiji University

・Toshio Oshima
Professor,Josai University

・Shinichi Kotani
Professor Emeritus, Osaka University

・Hal Tasaki
Professor,Gakushuin University

・Takashi Tsuchiya
Professor,National Graduate Instiute for Policy Studies

・Mitsuhiro Nakao
Professor Emeritus, Kyushu University

・Noriko Hirata-Kohno
Professor,Nihon University

・Satoru Fujishige
Project professor,Kyoto University

・Reiko Miyaoka
Professor,Tohoku University

・Hideki Murakami
Executive Counselor, Head of Process Research Laboratories, R & D Laboratories, Nippon Steel & Sumitomo Metal Corporation

・Michio Yamada
Professor,Kyoto University

・Akihiko Nomizu
Section Chief, Joint Support-Center for Data Science Research,
Research Organization of Information and Systems

Year Started : 2014

High-dimensional data analysis by mathematical model of recognition and higher-order/multi-layer random fields

Research Director:
Hiroshi Ishikawa(Professor, Department of Computer Science and Engineering, Waseda University)

Developing Optimal Modeling Methods for Large-Scale Complex Systems

Research Director:
Satoru Iwata(Professor, Graduate School of Information Science and Technology, The University of Tokyo)

Theory on mathematical modeling for spatio-temporal patterns arising in biology

Research Director:
Shin-Ichiro Ei(Professor, Faculty of Science, Hokkaido University)

Development of Verified Numerical Computations for Mathematical Modeling

Research Director:
Shin’ichi Oishi(Professor, Faculty of Science and Engineering, Waseda University)

A novel control principle facilitated by interactions with the environment

Research Director:
Ryo Kobayashi(Professor, Graduate School of Science, Hiroshima University)

Mathematical Modelling for Next-Generation Cryptography

Research Director:
Tsuyoshi Takagi(Professor, Institute of Mathematics for Industry , Kyushu University)

Mathematical statistics and stochastic analysis for modeling and analysis of complex random systems

Research Director:
Nakahiro Yoshida(Professor, Graduate School of Mathematical Sciences, The University of Tokyo)

Year Started : 2015

New challenges for mathematical modeling in clinical medicine

Research Director:
Hiroshi Suito(Professor, Graduate School of Environmental and Life Science, Okayama University)

Foundations of mathematical dermatology based on mathematical modeling

Research Director:
Masaharu Nagayama(Professor, Research Institute for Electronic Science, Hokkaido University)

Topological data analysis for new descriptors on soft matters

Research Director:
Yasuaki Hiraoka(Professor, Advanced Institute for Materials Research, Tohoku University)

Theory of hyper uniformity and its development in randomness appeared in sciences

Research Director:
Makoto Matsumoto(Professor, Graduate School of Science, Hiroshima University)

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