Geometry, topology, and applications - Einzelansicht

This course will go online for the semester. The first virtual meeting will be held on the 21.4.20 at 8:15am. Please register at the Moodle course for further instructions.

1. S. Hyde et. al.: The Language of Shape, Elsevier, 1996.
2. J. Conway et. al.: The Symmetries of Things, CRC Press, 2016.
3. J. Weeks: The Shape of Space, CRC Press, 2020

No

Oral or written exam

There are a growing number of novel applications of geometry and topology in the natural science, in particular in soft matter physics, structural chemistry and material science. This course will introduce the basic concepts of these application areas alongside the geometric and topological techniques involved. We will cover topics such as surfaces and curvature, surface area minimisation, symmetry and orbifolds, low-dimensional topology, packings, periodic minimal surfaces, biological membranes and persistent homology, with some stunning examples of shape, structure and function in nature. The course will also cover geometric visualisation of three-dimensional structures.

MSc, MEd