Integral points in families of elliptic curves

Abstract: Given an elliptic curve over a number field with its Weierstrass model, we can study the integral points on the curve. Taking an infinite family of elliptic curves and imposing some ordering, we may ask how often a curve has an integral point and how many integral points there are on average. We expect that elliptic curves with any non-trivial integral points are generally very sparse. In certain quadratic and cubic twist families, we prove that almost all curves contain no non-trivial integral points.

number theory

Audience: researchers in the discipline

Comments: See math.bu.edu/research/algebra/seminar.html

Boston University Number Theory Seminar

Series comments: The seminar will now meet in CDS 365 (in the new building!). Tea begins at 3:30 in the same room.