# Research

## Dynamics and Uncertainty

In broad strokes, research at the department of Mathematics can be summarized

as follows. On the one hand we are active on a fundamental and theoretical

level; on the other hand we also work in an applied and practical environment

with links to many sciences and societal issues. Much of our research effort

can be captured with the phrase "Dynamics and Uncertainty", two of the main

characteristics of mathematics at large. "Dynamics" relates to the

understanding and description of everything that changes, while

"Uncertainty" relates to those situations in which we have only partial

information, for whatever reason. Obviously these concepts have strong

interactions, and they can be approached both on a fundamental and an applied

level.

We present here our research in seven overlapping themes. In most themes,

dynamics and uncertainty both play a role. Furthermore, almost all themes have

fundamental and applied aspects, indicating the strong and important links

between mathematical research and the world we live in. Mathematics is of

course about proving theorems, but we are very much aware of the fact that

mathematics has always been inspired by the world outside, and, the other way

around, that our society greatly benefits from mathematics as well. It is this

two-way inspiration that we seek to pursue.