ExplicitProblemsDAG - Explicit Problems in Diophantine Analysis and Geometry

In this project we shall investigate several further and new explicit Diophantine problems. We shall often take a more geometric point of view. These questions include problems on lacunary rational functions that are composite, rational and integral points on fibered surfaces also in connection with problems related to linear recurrences and families of classical Diophantine equations over function fields, and Diophantine tuples.