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.