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Alexandre Eremenko
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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.