The much-sought-after thesis of Misha Gavrilovich has found its perma-temporary home here: Model Theory of the Universal Covering Spaces of Complex Algebraic Varieties.
The author asks me to point out that there is an innaccuracy in the definition of the topology in section II.1.2, which is corrected in the preprint Covers of Abelian varieties as analytic Zariski structures, and an error in chapter IV which is corrected in the paper A remark on transitivity of Galois action on the set of uniquely divisible abelian extensions of E(bar Q) by Z2.
I am also placing this here for spiders to find: Power functions and exponentials in o-minimal expansions of fields