Hi,
thanks for inviting me to become a member here!
David: I am working in Algebraic Geometry (algebraic cycles and K-
theory) mainly but teach almost entirely number theory and hence
essentially only give away thesis topics in number theory. By the way
I got into all this after writing
a little python package for symbian series 60 phones (google for
python math lab) which two of my students help
developing meanwhile. You may assume that students have a background
in elementary and algebraic number theory and some
general algebra.
I really have a lot of students, which I like, and many have already
used very successfully SAGE in their master/diploma thesis (e.g. one
did Kummer-Vandiver verifications,
another one ABC examples). To involve them into developing parts SAGE
is an experiment though, hence it would be good to let them work on
less time-critical things and be patient. It might even be better to
give away such task in seminars where they usually work only for a few
weeks on a subject.
John's suggestion (S-integral points) seems very interesting and if I
may I would like to suggest it to a student. Also Edwards coordinates
seem to be a nice option. Otherwise I will follow William and suggest
that they choose their own topic and go ahead and compare with MAGMA.
At the end we can see whether there is a contribution.
Stefan
.
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