Mathematics at the Interface of Science and Technology

Mathematics 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 our 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 by balancing seeds in mathematics and needs outside mathematics. This is based on the insight 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, KIT (Chair)
  • Prof. Dr. Takashi Shioya, Tohoku University (Co-Chair)
  • Prof. Dr. Peter Albers, Heidelberg University
  • Prof. Dr. Anna Marciniak-Czochra, Heidelberg University
  • Prof. Dr. Beatrice Pozzetti, Heidelberg University
  • Dr. Johannes Resin, Heidelberg University
  • Prof. Dr. Petra Schwer, Heidelberg University
  • Prof. Dr. Florent Schaffhauser, Heidelberg University
  • Prof. Dr. Tilmann Gneiting, KIT
  • PD Dr. Peer Kunstmann, KIT
  • Dr. Philippe Kupper, KIT
  • Dr. Kaori Nagatou, KIT
  • Dr. Artem Nepechiy, KIT
  • Prof. Dr. Roman Sauer, KIT
  • Prof. Dr. Tsuyoshi Kato, Kyoto University
  • Prof. Dr. Senjo Shimizu, Kyoto University
  • Prof. Dr. Satoshi Tsujimoto, Kyoto University
  • Prof. Dr. Hideo Kozono, Tohoku University
  • Prof. Dr. Hiroshi Suito, Tohoku University
  • Prof. Dr. Jun Masamune, Tohoku University
  • PD Dr. Benjamin Eltzner, University of Göttingen
  • Dr. Carsten Gottschlich, University of Göttingen
  • Prof. Dr. Stephan Huckemann, University of Göttingen
  • Prof. Dr. Russell Luke, University of Göttingen
  • Prof. Dr. Ralf Meyer, University of Göttingen
  • Dr. Susovan Pal, University of Göttingen
  • Prof. Dr. Thomas Schick, University of Göttingen
  • Dr. Henrik Wiechers, University of Göttingen
  • Prof. Dr. Chenchang Zhu, University of Göttingen
  • Prof. Dr. Ryushi Goto, Osaka University
  • Prof. Dr. Hisashi Kasuya, Osaka University
  • Dr. Yoshihisa Miyanishi, Osaka University
  • Prof. Dr. Takashi Nakazawa, Osaka University
  • Prof. Dr. Katsutoshi Yamanoi, Osaka University
Research Projects
The HeKKSaGOn Mathematics Group Mathematics at the Interface of Science and Technology
Goals and Projects for the Funding Period 2024 - 2027

For detailed information about reseach projects please download:

The HeKKSaGOn Mathematics Group Mathematics at the Interface of Science and Technology Goals and Projects for the Funding Period 2024 - 2027 MANIFESTO (PDF)

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).
  • [4] Takashi Shioya, Asuka Takatsu, ”High-dimensional metric-measure limit of Stiefel and flag manifolds”, Mathematische Zeitschrift 290(2018), 1-35.
  • [5] Hiroki Nakajima, Takashi Shioya, ”Isoperimetric rigidity and distributions of 1-Lipschitz functions”, Advances in Mathematics 349(2019), 1198–1233.
  • [6] Terada, Y., Ogasawara, I., and Nakata, K., ”Classification from only positive and unlabeled functional data”, Annals of Applied Statistics, 14 (4), 1724–1742 (2020)
  • [7] Benjamin Eltzner, Fernando Galaz-Garcia, Stephan F. Huckemann, Wilderich Tuschmann, ”Stability of the Cut Locus and a Central Limit Theorem for Fréchet Means of Riemannian Manifolds”, Proceedings of the American Mathematical Society 149, 3947-3963 (2021).
  • [8] Hideo Kozono, Peer Kristian Kunstmann, Senjo Shimizu, ”Analyticity in space-time of solutions to the Navier-Stokes equations via parameter trick based on maximal regularity”, Annali Scuola Normale Superiore 34pp (2023).
  • [9] Terada, Y. and Shimodaira, H., ”Selective inference after feature selection via multiscale bootstrap”, Annals of the Institute of Statistical Mathematics, 75, 99–125 (2023)

 

Conferences & Symposiums

  • 1. HeKKSaGOn Workshop ’Metrics and Measures’, September 28-29, 2023, Tohoku University.

  • 2. HeKKSaGOn Workshop ’Analysis, Geometry and Stochastics on Metric Spaces’, September 25-27, 2023, RIMS, Kyoto.

  • 3. HeKKSaGOn AI Symposium, September 19-21, 2023, Gottingen, jointly with the working groups Data Science and Robotics, preceding the 9th German- Japanese University Presidents’ Conference, September, 21-22, 2023, Göttingen.

  • 4. 6th German-Japanese University Presidents’ Conference, Working Group Meeting, April 12-13, 2018, Osaka.

  • 5. HeKKSaGOn Mini-Workshop ’Geometry meets Stochastics: Smeariness and Pattern Recognition’, December 12-13, 2017, KIT.

  • 6. HeKKSaGOn Working Group Winter School in Osaka 2017, March 2-12, 2017, Osaka University.

  • 7. HeKKSaGOn Mini-Workshop ’Perspectives and Challenges in Mathematical Sciences’, October 1, 2016, KIT.

  • 8. 5th Japanese-German University Presidents’ Conference, Working Group Meeting, September 29-30, 2016, KIT.

  • 9. HeKKSaGOn Mini-Workshop ’Frontiers in Mathematical Sciences’, April 18, 2015, Tohoku University, Sendai.

  • 10. 4th Presidential Conference HeKKSaGOn, Working Group Meeting, April 2015, Tohoku University, Sendai.

  • 11. Summer School ’Inference of Pattern Formation: Applications in Natural and Materials Sciences’, September 15-19, 2014, Göttingen.

  • 12. Mini-Workshop on Approaches from Discrete Mathematics, PDEs and Stochastics to Pattern Recognition, September 14, 2013, Göttingen.

  • 13. HeKKSaGOn Summer School on Crossing Borders: Unraveling Principles of Life with Quantitative Tools, September 17–26, 2012, Heidelberg.

  • 14. Turing Symposium on Morphogenesis, Mathematical Approaches Sixty Years after Alan Turing, August 27–31, 2012, Sendai.

  • 15. Workshop on Mathematical Models of Biological Phenomena and their Analysis, November 21-24, 2011, Sendai.