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Welcome to the MPI MiS

Fundamental questions arising from natural and engineering sciences and economics have always inspired mathematicians to search for new mathematical structures and methods. The interaction between mathematics and the sciences forms the central point of research at the Max Planck Institute for Mathematics in the Sciences (MiS) in Leipzig.

25 years of MiS - Wolfgang Hackbusch and the world of hierarchical matrices (24.11.2021)

In the latest iteration of our 25 years of MiS column, we feature our director emeritus Wolfgang Hackbusch and look at a critical component of his work. Hierarchical Matrices are a fundamental mathematical tool to solve large systems of equations with various unknowns that are ubiquitous in the natural sciences and data science.

The first mathematical research-data workshop (16.11.2021)

We recently hosted the the first MaRDI workshop with 25 in-person and a total of 38 online participants. MaRDI is an acronym for the German Mathematical Research Data Initiative. This initiative is realized by fifteen big research institutions across Germany, with the WIAS in Berlin taking the leadership and the University of Leipzig and the MPI MiS as local partners.

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  • Paul Alexander Helminck (23.11.)
  • Türkü Özlüm Çelik (21.11.)

more information >>>

Recent results

  • Eisenmann, H. and A. Uschmajew: Maximum relative distance between symmetric rank-two and rank-one tensors. [link]
  • Bik, A. ; Eisenmann, H. and B. Sturmfels: Jordan algebras of symmetric matrices. [link]
  • Gmeineder, F. ; Raiţă, B. and J. Van Schaftinger: On limiting trace inequalities for vectorial differential operators. [link]
  • Ait El Manssour, R. and G. Pogudin: Multiplicity structure of the arc space of a fat point. [link]
  • Zhang, Q.-H. and S.-M. Fei: Tighter sum uncertainty relations via variance and Wigner-Yanase skew information for \(N\) incompatible observables. [link]
  • Zuo, H.-J. ; Liu, J.-H. ; Zhen, X.-F. and S.-M. Fei: Nonlocal sets of orthogonal multipartite product states with less members. [link]
  • Ait El Manssour, R. ; Nebe, G. and M. Stanojkovski: Bolytrope orders. [link]
  • Toomani, V. ; Zimmerman, P. ; Spiers, A. ; Hollands, S. ; Pound, A. and S. R. Green: New metric reconstruction scheme for gravitational self-force calculations. [link]
  • Luo, M.-X. and S.-M. Fei: Robust multipartite entanglement without entanglement breaking. [link]
  • Berkemer, S. ; Siederdissen, C. H. and P. F. Stadler: Compositional properties of alignments. [link]
  • Torres, L.: The Perron non-backtracking eigenvalue after node addition. [link]
  • Hatton, I. A. ; Heneghan, R. F. ; Bar-On, Y. M. and E. D. Galbraith: The global ocean size spectrum from bacteria to whales. [link]
  • more recent papers >>>

27.11.2021, 01:40