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If you are interested in some of the ideas of algebraic geometry, you should also consider a number of other advisors.In this department there are a good number of people interested either directly or indirectly in algebro-geometric ideas. I will of course be happy to talk with you no matter whom you are working with.At some point you'll be able to make a sentence using those words; you won't know what the words mean, but you'll know the sentence is correct.
Think explicitly about the process, and talk about it (with me, and with others). But in order to know everything needed to tackle an important problem on the frontier of human knowledge, one would have to spend years reading many books and articles. Being broad is a good way of learning to develop interesting questions. just go to seminars that you think are directly related to what you do (or more precisely, what you currently think you currently do).
When you learn the theory, you should try to calculate some toy cases, and think of some explicit basic examples. You should certainly go to every single seminar related to algebraic geometry that you can, and likely drop by other seminars occasionally too.
You still won't know what the words mean, but you'll know the question is interesting, and you'll want to know the answer.
Then later on, you'll learn what the words mean more precisely, and your sense of how they fit together will make that learning much easier.
General advice (which would apply particularly to my own students) Think actively about the creative process. Older graduate students will verify that there is a high correlation between those students who are doing the broadest and deepest work and those who are regularly attending seminars.
A subtle leap is required from undergraduate thinking to active research (even if you have done undergraduate research). student at Stanford will have tried to learn absolutely all the material flawlessly. Don't be narrow and concentrate only on your particular problem. The facts, methods, and insights from elsewhere will be much more useful than you might realize, possibly in your thesis, and most definitely afterwards. Also talk to post-docs, faculty, visitors, and people you run into on the street. Many people erroneously conclude that those who are the strongest students therefore go to seminars, while in fact the causation goes very much in the opposite direction.It is amazing what can become relevant to your research. And it won't happen to you unless you go to colloquia. By chance, I recently saw a Ph D thesis whose acknowledgements ended with the sentence "Finally, I would like to thank Dr.Mark Meckes, whose talk in Marseille in May of this year  provided the final insight I needed to completely answer Kuperberg's Conjecture." What is interesting about this is that not only had I never heard of Kuperberg's Conjecture, but my talk was completely unrelated to the subject of the thesis, and even after reading the relevant section of the thesis I still couldn't see the connection.Then you can later backfill from these tendrils, and extend your comfort zone; this is much easier to do than learning "forwards". There can be a temptation to learn lots of fancy words and to use them in fancy sentences without being able to say precisely what you mean.You should feel free to do that, but you should always feel a pang of guilt when you do.) Go to colloquia fairly often, so you have a reasonable idea of what is happening in other parts of mathematics.You may prefer not to meet in a given week if you have nothing much to report, but those weeks are particularly important to meet.Tags: Adult Dating, affair dating, sex dating