We aim to further develop mathematics in Münster into a research centre with high international visibility. We will tackle fundamentally important mathematical problems, viewing mathematics as an organic whole with countless interactions.
In order to reach our goals, we will follow three key principles: connecting mathematical fields, supporting early career researchers, and improving equal opportunity and compatibility of family and career.
Structure: Understanding the deeper underlying structures of a difficult mathematical problem is key to our approach throughout all research areas. The theories we will build in this way will not only help solve the problems under consideration but also many others of a similar nature; these theories will also raise exciting new questions.
Geometry: Looking at problems from a geometric viewpoint has a psychological and a technical advantage — psychologically, because after phrasing an abstract structure in geometric terms, one can often see a path to the solution, and technically, because a plethora of broadly applicable methods in geometry exists such as the use of generalised cohomology theories.
Dynamics: Investigating the dynamics of semigroup and group actions is a powerful tool that can be used to analyse mathematical problems. Non-reversible dynamics describes the evolution of systems such as the Ricci flow in Riemannian geometry, the evolution of patterns, phase transitions, or asymptotic properties of dynamic and multi-scale problems. Reversible dynamics in the form of group actions is equivalent to symmetry, a valuable simplifying principle that plays an important role in our research.
"Mathematics Münster: Dynamics - Geometry - Structure" will receive funding under the Excellence Strategy of the Federal and State Governments as a "Cluster of Excellence" for a period of seven years, with effect from 1 January 2019. The four participating institutes belong to the Faculty of Mathematics and Computer Science at the Westfälischen Wilhelms-Universität Münster (WWU). The two spokespersons of Mathematics Münster are Prof. Christoper Deninger and Prof. Mario Ohlberger.