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VIII. Mathematics at the Interface of Science and Technology towards Innovation - Seeds in Mathematics versus Needs outside Mathematics

Mathematics in Life SciencesMathematics has a long history of providing the common language and the appropriate intellectual frame for other disciplines. In this classical scheme, mathematical new breakthroughs do not a priori affect other sectors of society, except in a longer perspective. However, in the last decades an additional and new paradigm has also emerged. Indeed, modern human societies do nowadays encounter many urgent technology-based problems which have become more and more complicated and harder to handle. Complexity phenomena arising in, e.g., artificial intelligence, big data and robotics, are now often beyond the efficiency zone of the existing tools. In this new context, Mathematics can take direct action.

The objective of this work group is to promote cooperative research activities among the six universities in corresponding custom-made applications of mathematics as well as in advancing the frontiers of pure mathematics, based on the idea that to attack new real world problems we need new mathematical concepts and methods, and that new applications of mathematics will in turn also stimulate the development of new mathematical theories.

 

Scientists

  • Prof. Dr. Wilderich Tuschmann, Karlsruhe Institute of Technology (KIT) (Chair)
  • Prof. Dr. Tsuyoshi Kato, Kyoto University (Co-Chair)
  • Prof. Dr. Vincent Heuveline, Heidelberg University
  • Prof. Dr. Anna Marciniak-Czochra, Heidelberg University
  • Prof. Dr. Anna Wienhard, Heidelberg University
  • Dr. Fernando Galaz-Garcia, KIT
  • Dr. Kaori Nagato-Plum, KIT
  • Dr. Sebastian Grensing, KIT
  • Prof. Dr Senjo Shimizu, Kyoto University
  • Prof. Dr. Satoshi Tsujimoto, Kyoto University
  • Prof. Dr. Takao Yamaguchi, Kyoto University
  • Prof. Dr. Motoko Kotani, Tohoku University
  • Prof. Dr. Yasumasa Nishiura, Tohoku University
  • Prof. Dr. Nobuaki Obata, Tohoku University
  • Prof. Dr. Takashi Shioya, Tohoku University
  • Prof. Dr. Izumi Takagi, Tohoku University
  • Prof. Dr. Sohei Tasaki, Tohoku University
  • Dr. Carsten Gottschlich, University of Göttingen
  • Prof. Dr. Stephan Huckemann, University of Göttingen
  • Prof. Dr. Thomas Schick, University of Göttingen
  • Dr. Yoshihisa Miyanishi, Osaka University
  • Prof. Dr. Kenichi Ohshika, Osaka University
  • Prof. Dr. Takashi Suzuki, Osaka University

 

Published Work

  • [1] A. Marciniak-Czochra, M. Nakayama and I. Takagi, "Pattern formation in a diffusion-ODE model with hysteresis", Differential Integral Equations 28 (2015), 655-694.
  • [2] S. Härting, A. Marciniak-Czochra and I. Takagi, “Stable patterns with jump discontinuity in systems with Turing instability and hysteresis”, to appear in Discrete Continuous Dynamical Systems Ser. A
  • [3] Imdahl, C., Gottschlich, C., Huckemann, S., Ohshika, K., "Möbius moduli for fingerprint orientation fields" (2017), arXiv 1708.02158.

 

Conferences, Symposia, Workshops and Seasonal Schools