Math past Associate's degree courses?

[Destroxia]

So I've finished all the basic math courses you usually hear about in college (E.g. Single & Multivariate Calculus, Linear Algebra, Diff. Eq.). My majors are in Mathematics, and Physics. I'm doing undergraduate research with a professor at my school in Quantum Field Theory. Since I have finished these courses, I'm not too sure what else to do to prepare for further adventure into Quantum Field Theory. I've also taken extra credit courses in which I did things like probability theory already. I don't know much about the math courses beyond these well-known courses. The courses I can take are as follows:

Intro to Analytics
Intro to Probability Theory
Intro to Math Stat
Stochastic Modeling
Theoretical Mechanics
Complex Analysis
Foundations of Geometry
Basic Abstract Algebra
Linear Algebra (not sure if this is extended linear algebra, as I already took it?)
Algebraic Geometry
Matrix Algebra
Numerical Computations
Intro to Numerical Analysis
Factorization and Primality Testing
Linear Programs
Graph Theory
Math Theory of Games

I apologize for listing so many courses, but I'm just not sure what any of these are, or if they will help me with Quantum Field Theory. Any recommendation would be much appreciated.

 

[Dr. Courtney]

Complex Analysis and Intro to Numerical Analysis.

 

[jtbell]

I "third" Complex Analysis. When I was in grad school (physics), it was the one extra math course I wish I had been able to take as an undergrad. I actually double-majored in physics and math, but didn't take complex variables / complex analysis, because my small college either didn't offer it at all, or didn't happen to offer it while I was able to take it. (This was more than 40 years ago.)

I did take complex variables as a grad student, as one of my two non-physics "cognate courses."