Francesco Veneziano

I will present a method, of easy application, to compute all the rational points on infinitely many curves of a fairly general form in products of elliptic curves, proving in particular the explicit Mordell-Lang Conjecture for these curves. We prove some explicit and very sharp estimates for the height of such rational points. The bounds are so good that we can implement a computer search. I will present several explicit examples in which this has been done. All results are in collaboration with Sara Checcoli and Evelina Viada.