Giulio Marazza

I am a PhD student under Ulrich Görtz, working on the bad reduction of Shimura varieties. I am in particular interested in the case where the level structure at p is given by the pro-unipotent radical of an Iwahori subgroup, in the Siegel and unitary cases. In my thesis, I use local models to investigate geometric properties of the corresponding integral models, for example flatness and normality. I am also interested in the local factor at p of the Hasse-Weil zeta function of these Shimura varieties, and how this relates with the geometry of the special fiber.