Geometry of Physics

In this advanced elective, we first cover the necessary mathematical tools from tensor calculus and differential geometry to be able to describe physical systems where geometry is important. We then move on to two important applications: (bio)membranes as two-dimensional surfaces living in three-dimensional space, and the four-dimensional spacetime of general relativity. This is a 'reading course', meaning that the students study the relevant material by themselves, work on the associated problems together, and meet once a week with the instructor to discuss their progress and ask any questions they have.