 #1
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Main Question or Discussion Point
Hi PF, asking for course advice again.
Currently I am finishing up undergraduate level series in:
Abstract Algebra
Real Analysis
Particle Physics
Topology.
Next fall I will be registering for:
Stat Mech/Thermodynamics (required for physics majors)
Statistics and Probability (required for math majors)


I can choose from:
Math:
Graduate level Real Analysis
Graduate level Topology
Graduate level Differential Topology (First course in series covering differential geometry)
Physics:
Graduate level Mathematical Methods in Physics
Graduate level Mechanics/EM
Graduate level General Relativity (I have taken the undergrad version)
Which course (or pair of courses) will be most helpful in graduate school for quantum gravity/mathematical physics/high energy theory?
Will I have enough time to take all of these courses in graduate school? (I'm interested in math enough to honestly take all these courses if I had enough time!)
Options:
Take 2 Grad Physics courses
Perceived Pros: Looks better for graduate school/I will be prepared for graduate school
Perceived Cons: Risk of never taking a formal class in graduate level math
Take 2 Grad Math courses
Perceived Pros: Good chance at being able to take even higher level mathematics in grad school
Perceived Cons: Will being going to physics grad school without having taken any grad courses.
Take 1 of each:
Perceived Pros: Good Balance
Perceived Cons: Lack of depth
My perspective is that I want to be able to tackle theoretical/mathematical physics with a sophisticated mathematics tool belt (and because the math is interesting in itself and I can't see myself leaving it behind outright). What should I do?
Thanks!
Currently I am finishing up undergraduate level series in:
Abstract Algebra
Real Analysis
Particle Physics
Topology.
Next fall I will be registering for:
Stat Mech/Thermodynamics (required for physics majors)
Statistics and Probability (required for math majors)


I can choose from:
Math:
Graduate level Real Analysis
Graduate level Topology
Graduate level Differential Topology (First course in series covering differential geometry)
Physics:
Graduate level Mathematical Methods in Physics
Graduate level Mechanics/EM
Graduate level General Relativity (I have taken the undergrad version)
Which course (or pair of courses) will be most helpful in graduate school for quantum gravity/mathematical physics/high energy theory?
Will I have enough time to take all of these courses in graduate school? (I'm interested in math enough to honestly take all these courses if I had enough time!)
Options:
Take 2 Grad Physics courses
Perceived Pros: Looks better for graduate school/I will be prepared for graduate school
Perceived Cons: Risk of never taking a formal class in graduate level math
Take 2 Grad Math courses
Perceived Pros: Good chance at being able to take even higher level mathematics in grad school
Perceived Cons: Will being going to physics grad school without having taken any grad courses.
Take 1 of each:
Perceived Pros: Good Balance
Perceived Cons: Lack of depth
My perspective is that I want to be able to tackle theoretical/mathematical physics with a sophisticated mathematics tool belt (and because the math is interesting in itself and I can't see myself leaving it behind outright). What should I do?
Thanks!