Is it possible to take grad math courses in a PhD physics program?

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Discussion Overview

The discussion centers on the possibility of taking graduate mathematics courses within a PhD physics program, particularly for students considering studying in the United States. The scope includes personal experiences, institutional policies, and the feasibility of integrating math courses into a physics curriculum.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant expresses interest in taking various advanced mathematics courses, including algebraic topology, complex analysis, and functional analysis, while pursuing a PhD in physics.
  • Another participant shares their experience of successfully taking math courses before switching to applied math.
  • A participant notes that after meeting the standard coursework requirements, students generally have the freedom to take additional courses, contingent on qualifications, supervisor approval, and time availability.
  • A historical perspective is provided by a participant who recalls a requirement for cognate courses outside the physics department, with many choosing math courses.
  • Concerns are raised about the feasibility of taking a large number of math courses, as it may depend on departmental policies and financial considerations.

Areas of Agreement / Disagreement

Participants generally agree that it is possible to take graduate math courses in a PhD physics program, but there are varying opinions on the extent to which this can be done, particularly regarding the number of courses and institutional policies.

Contextual Notes

Limitations include potential variations in departmental policies, financial implications of taking multiple courses, and the necessity of obtaining permissions for courses outside the physics department.

Pendulum Swing
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Program?

I am an Australian student, may think about studying in America (saw video of Andrew Dottson mentioning it), in the future. Is it possible to take grad maths courses, e.g. algebraic topology/geometry, complex analysis, representation-theory/lie-groups, PDEs, Measure Theory, Functional Analysis, algebra courses, more geometry/topology courses, ..., etc

Thanks,

Pendulum Swing
 
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Pendulum Swing said:
Program?

I am an Australian student, may think about studying in America (saw video of Andrew Dottson mentioning it), in the future. Is it possible to take grad maths courses, e.g. algebraic topology/geometry, complex analysis, representation-theory/lie-groups, PDEs, Measure Theory, Functional Analysis, algebra courses, more geometry/topology courses, ..., etc

Thanks,

Pendulum Swing
That WOULD BE the point.
 
I did just that. Then I switched to applied math.
 
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Once you meet the standard coursework requirements of your PhD program, you more-or-less have the freedom to take any additional courses you want, provided (i) you're qualified to take them, (ii) your supervisor/supervisory committee is okay with it, and (iii) you have time to fit them in. For courses outside your department you will likely have to get permission to take them, but in my experience it's rare for interested and well-motivated students to be denied.
 
When I was a grad student in physics about 40 years ago at the U of Michigan, we were required to take at least two "cognate courses" outside the physics department. Most of us (including me) chose math courses. In my case they were complex analysis and intermediate differential equations.
 
Usually a class or two is not a problem, although it depends on the department's policies (which usually depend on who and how tuition in these classes is paid for). But your list contains at least eleven classes. That is going to be a harder sell, unless you are paying for everything out of pocket.
 

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