Preprints and Publications:

1. Realizable classes and embedding problems, in preparation
2. On the realizable classes of the square root of the inverse different in the unitary class group, arXiv:1509.06129 [math.NT]
3. On the Galois module structure of the square root of the inverse different in abelian extensions, arXiv:1407.4175 [math.NT], accepted to J. Number Theory.