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Jun 17, 2010 at 13:33 comment added David Corwin That is, all you need is an introductory abstract algebra course for p-adics, elliptic curves, and algebraic number theory. The mention of class field theory was just to appease the person who said algebraic number theory at its most basic level doesn't get anywhere interesting. You do need basic rigorous calculus for p-adics, but a typical undergraduate senior has done that.
Jun 17, 2010 at 13:31 comment added David Corwin Ok, but this could work as long as the student takes a basic abstract algebra course in junior year, which is common at a lot of places.
Jun 16, 2010 at 17:20 comment added The Mathemagician Good suggestions,Davidac-but again,the students need to be very well prepared (such as at Princeton) for these kind of courses.They need to be pretty comfortable with basic algebra and rigorous calculus.Topology would help,but isn't really necessary.
Jun 16, 2010 at 8:22 history answered David Corwin CC BY-SA 2.5