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Course Queries Syllabus Queries 2 years ago
Posted on 16 Aug 2022, this text provides information on Syllabus Queries related to Course Queries. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.
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I'm not sure if this is an appropriate question for MO, but I figured it couldn't hurt to ask. I'm a second year graduate student, currently gearing up to construct a committee and syllabus for my oral exams, and I'm struggling with some issues regarding the subject(s) I wish to study. In particular, I have found that what I am truly interested in is transcendental number theory and would absolutely love to have this as a primary area of focus for my exams, with the hope of developing a thesis in this area as well.
However, after speaking to some of my professors I now have the impression that the field is not exactly dead, but very, very cold. Not only do the open questions in the field seem to be impossibly difficult, but there are very few mathematicians out there (or so it seems) who focus on transcendence as a primary area of research. In light of these difficulties, I'd like to ask the following:
For graduate students in pure mathematics, do you recommend following your interests despite obvious challenges, or should students temper their passions and pick more fruitful areas of research for their theses? Additionally, for my particular case, where/who do I turn to to discuss transcendence and cultivate a sense for what types of problems (if any) are suitable for a PhD thesis?
Thanks in advance for your responses!
-Richard
My experience shows that a graduate student on an early stage of his career is usually unable to make a reasonable judgement about areas of mathematics etc. on his own. At this stage, the crucial thing is choosing the ADVISER (among those available). The adviser must be a mathematician a) of high standing/reputation and b) the one you feel comfortable to work with. Choose the best one of those available. After you choose such an adviser, and s/he agrees to supervise you, rely completely on his/her advises instead of asking your fellow students and/or MO.
I mean you should talk to professors in YOUR department, not to MO. I mean people on MO can recommend you a an area of research, but you will be unlikely to achieve something without a good adviser in this area.
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