Hi Nils,

Things that come to mind are:

1. LLL (wrapping existing code, not implementing it) and more canonical
lattice reduction
for small dimensions, with attention to what has been done in the
context of quadratic forms?

2. Collaboration on robust p-adic arithmetic -- wrapping and/or testing
and improving whatever
exists as of SAGE-2.0.

3. Attention to elliptic curves over finite fields, and/or any p-adic
rings that exist.

--David


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