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Thanks DC for your reply. I don't have a very clear direction yet, but it is something on pure analysis (with a possibility of applying to some applied problems -- but I doubt if my supervisor likes to direct a thesis on an applied problem). By "to find a course somewhere else," do you mean I...

Hi everyone. This may be just another "should I continue with my PhD?" post, but I guess everyone's situation is different, and I would appreciate your words of advice. I am approaching the end of my 2nd year in a mathematics PhD program (the department of my school is one of the top 10th in...