Strongly minimal reducts of algebraically closed valued fields

In this thesis we prove the following restricted version of Zilber's Trichotomy: Let $K=(K,+,\cdot,v,\Gamma)$ be an algebraically closed valued field and let $(G,\+)$ be a K$-definable group that is either the multiplicative group or contains a finite index subgroup that is $ K$-definably isomo...