# Matthias Nagel

matthias.nagel (at) math.ethz.ch
Department of Mathematics
ETH Zurich, Switzerland

## My Interests

My field of study is geometric topology. I am interested in geometric objects up to dimension 4 and their embeddings. In particular, I study knots and their mathematical properties. Here is an example of an interesting (part of a) knot:

I am especially curious about concordance, a special equivalence relation on knots. This relation is intimately tied to questions on the topology of 4-manifolds and their smooth structures.