Lorenzo García, Elisa (Date of defense: 2014-09-10)
This thesis explores the explicit computation of twists of curves. We develope an algorithm for computing the twists of a given curve assuming that its automorphism group is known. And in the particular ...
Vera Piquero, Carlos de (Date of defense: 2014-11-07)
This thesis explores one of the essential arithmetical and diophantine properties of Shimura curves and their Atkin-Lehner quotients: the existence of rational points on these families of curves over ...