Is It Possible to Transition from a Physics Master's to a Math PhD?

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SUMMARY

Transitioning from a Physics Master's to a Math PhD is feasible, especially for candidates with a strong mathematical background. Key courses that enhance eligibility include Linear Algebra, Abstract Algebra, Analysis, Topology, and Partial Differential Equations (PDEs). A solid performance on the Math GRE is also crucial for demonstrating mathematical proficiency. While a Physics Master's may not directly contribute to a Math PhD application, it provides a valuable foundation that can be advantageous.

PREREQUISITES
  • Understanding of Linear Algebra and its proofs
  • Familiarity with Abstract Algebra and Analysis
  • Knowledge of Topology and Partial Differential Equations (PDEs)
  • Preparation for the Math GRE subject exam
NEXT STEPS
  • Research the requirements for Math PhD programs at specific universities
  • Prepare for and take the Math GRE subject exam
  • Review advanced topics in Linear Algebra and Abstract Algebra
  • Explore dual degree options in Physics and Mathematics
USEFUL FOR

Students considering a transition from Physics to Mathematics, particularly those with a strong mathematical foundation and an interest in pursuing a Math PhD after completing a Physics Master's.

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I know of several people in my department who did physics/math dual majors as undergrads, then math masters' degrees, then physics PhD.

But I don't know of anyone doing a physics master's and a math PhD. Has it ever been known to occur?

Have any of you done this?
 
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Hey quasar,

What is your math background like? If you took courses like Linear Algebra (with proofs), Abstract Algebra, Analysis, Topology and maybe some courses in PDE's (I think as a physics major you will probably have some familiarity with PDE's) or differential geometry, you could definitely apply.

Also maybe because you are coming from a different field, they might want to see a nice math GRE score, that is the subject exam.

But I think if you have a good math background, decent GRE Math scores, you will be a good candidate. I don't know how much the physics masters helps, but it certainly does not hurt.
 
Thanks for the quick reply!

I actually am math/physics undergrad. I planned over the whole time to do physics grad school, did physics research (in theory, though, so lots of math) and prepared for the physics GRE. But, in the last few months, now that I've already got plans for where to apply and am a week from taking the physics GRE, I'm beginning to question if I really want to do physics. Thing is, I really love physics best when I'm doing something with geometry, or linear algebra, or thinking about null sequences, or whatever - it's the math in quantum and my other classes that really gets my heart going - so I'm suddenly wishing I'd prepared for a math GRE instead... because the theory market is SMALL, and I'm not sure I really want to keep doing physics if it isn't mathy.

But I keep flip-flopping and thinking I'd miss physics if I just did pure math, so I was thinking maybe I'll just stick with the original plan - do physics grad program - and see if I am still into it after a year of coursework. If not, then I could take the physics master's and go into math (and I'd be more than willing to start at the bottom with the math master-level courses, even if it takes longer). I'm reasonably sure that with a bit of review/study, I could do quite well on the math GRE. I would like to make sure I don't doom myself if I discover halfway to a PhD that I really should have done math instead of physics... :P Or the other way around, since I change my mind about every week regarding which field to go into...
 

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