How does mathematics research look for physics graduate?

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SUMMARY

Engaging in research within a mathematics department significantly enhances a physics graduate's career prospects, particularly when focusing on areas like dynamical systems or elliptic curves. The discussion highlights the importance of integrating quantum field theory into one's studies to broaden research opportunities in both mathematics and physics. Completing a B.Sc. in mathematics and physics, followed by a Master's in mathematics with a focus on algebraic/differential topology, Lie theory, or noncommutative algebra, is a strategic approach. Ultimately, the ability to ask the right questions is emphasized as a crucial skill in theoretical and mathematical physics.

PREREQUISITES
  • Understanding of dynamical systems and their applications in physics
  • Familiarity with elliptic curves and their relevance to quantum cryptography
  • Knowledge of quantum field theory concepts
  • Basic principles of algebraic and differential topology
NEXT STEPS
  • Research the applications of dynamical systems in theoretical physics
  • Explore the intersection of elliptic curves and quantum cryptography
  • Study quantum field theory and its implications in mathematical physics
  • Investigate advanced topics in algebraic and differential topology
USEFUL FOR

This discussion is beneficial for physics graduates, mathematics students, and researchers interested in theoretical and mathematical physics, particularly those looking to enhance their academic profiles through interdisciplinary research.

Arsenic&Lace
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I'm interested in mathematical or theoretical physics (and, I am quite aware of how daunting it is to obtain a career in this field). I'm curious, if I do research with the mathematics department, does this look good?

Currently I might have a project in dynamical systems, although I could also do a project with elliptic curves, which are rather far removed from physics as far as I know (short of maybe quantum cryptography, although it's just a wide guess that the two have anything in common).
 
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I am also interested in this. I am currently finishing B.Sc. degrees in mathematics and physics, I am planning on doing a Master's in mathematics, maybe in algebraic/differential topology, Lie theory or noncommutative algebra.

My hope is that by mixing some quantum field theory into my degree, options of both physics and mathematics research will be open to me.
 
Research in the math department certainly looks better than no research in the math department if you assume otherwise identical resumes/grades/... . As you may realize from this answer, you may not have asked the proper question. Incidently, asking the right question often is a central and non-trivial part of doing theoretical or mathematical physics.
 

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