- #1

torito_verdejo

- 20

- 4

I am an undegrad Physics student and I'm choosing my optional courses for my third year. I'm looking for advice (or opinions, if you prefer) since I'm not sure what of the following mathematical, optional courses would be more "beneficial" (I know this term is abstract) to my physics formation. Note that this course will already follow four semesters of real analysis, two of complex analysis, one on linear algebra, and another on functional analysis. Note too that I am eager to study abstract algebra on my own (as I already have) so I don't fear not "being ready" for the course.

What do you think I should choose among the following? (If you can, separate your answer in what to choose according to its "beauty", and what to choose according to its applicability to physics):

1. Galois theory

2. Algebraic geometry

3. Algebraic topology

All three are first courses on each subject. Thank you in advance.