It seems like every other graduate student I know is working on some problem that their advisor has suggested, and I've just been spending a year reading papers and trying to think of a problem for myself. Is something wrong here? Are you supposed to come up with a thesis problem on your own?
I am only looking for answers which are specific to pure math. I have friends in compsci and various sciences, and their research lives are not similar to mine at all.
I am interested in an area of math which has a similar flavor to the one that my advisor works in, but is quite different. My advisor thinks that this area is a good one to work in and knows of some of the major results, but doesn't know any of the details of the proofs or what people are working on now. I am finding it very hard to come up with good problems on my own. I can come up with ideas for problems, but I cannot judge whether they are interesting to other people who work in this area or feasible at all. I also can't tell for sure whether something has been done before, as I have to rely on mathscinet since I am not an expert in my field and do not have experts to talk to. I think these are the things that an advisor should be able to help with, but right now I feel like I'm just all on my own, even though I meet with my advisor frequently to check in. I also feel like I'm getting behind in graduate school because I still haven't found a single problem to work on after two years.