Fabian Schürrer is a bachelor student in mathematics from Austria who studied the curve shortening flow for his bachelor's thesis and is eager to continue studying geometric and other PDEs in the future.
the artwork
Welle der Veränderung
German - Wave of Change - 2026 - digital
audio commentary
This artwork depicts water ripples on a lake that is set in a typical Austrian landscape. The motivation behind it is the curve shortening flow, a geometric PDE, that transforms planar curves by moving each point in the direction of its curvature vector. In particular, a circle shrinks to a smaller and smaller circle and eventually becomes a point. This motif of concentric circles reminds me of the ripples in water when dropping a pebble into a still body of water, although in that case the waves spread outwards. Both processes illustrate the gradual and continuous change in nature.
Fabian Schürrer
Gradual and continuous change in nature
mathematics in Austrian culture
In Austrian culture we appreciate nature a lot and place a lot of value on spending time outside. It is very common to go skiing, hiking or for a walk, to have picnics in the green, and to go swimming in lakes or suitable sections of streams or rivers. Particularly, the abundance of clean water in the form of lakes, rivers and streams has shaped leisure activities and economy. Many processes and physical behaviours in nature can be described by PDEs, for example water waves by the wave equation.