Comment by zaph0d_

I once took an advanced seminar course on the mathematical foundations of electrodynamics in parallel to my theoretical electrodynamics course during my third bachelor semester. I did not have any clue about differential geometry and did not understand the advanced formalism the lecturer introduced in the seminar. But I was quite shocked how easily Maxwells equations can be derived and how compact the formula was. The article suggests that Gauge theory and fiber bundels are subjects, where math and theoretical physics seem to help each other, which is absolutely facinating!