mrb wrote:You really should talk to your current professors and professors in your prospective field about this. People in this forum are mostly prospective grad students in pure math, and some in applied math. In other words, nobody here knows anything about what you're asking.
That said, I'll tell you something anyway: The reason people are discouraged from getting two PhDs is because it doesn't make any sense to do so. If you believe the things you would learn in getting the theoretical neuroscience PhD are relevant to your current research, well, then make the case to your current department that you should be taking classes in that field and making contact with professors there. If you can't make a strong case for that, then maybe that's because that field really isn't related to what you're doing now.
Saying that "one is more experiment based while the other is theoretical related" to me makes more of a case why you should not try to do both these fields.
If what you really want to be doing is theoretical neuroscience, then it would make sense to confront that issue now, and possibly switch programs, even if that's a hassle. Don't get a PhD in a field you don't want to work in.
Your light math background would certainly be a problem if you were looking to go into pure math; for theoretical neuroscience, I don't know, but it's probably fine.
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