Projects

Master Thesis

I'm currently working on my Master Thesis. A prominent feature will be the etale homotopy type of higher stacks, as introduced by D.Carchedi in this paper. Therefore, I introduce étale blossoms and the shape of $\mathrm{\infty }-$ topoi and discuss how historical notions of etale homotopy type are generalized. I'm planning to point out implications for sheaf cohomology of $\mathrm{\infty }-$ topoi. Also I would like to present a good number of applications, possibly in log geometry. Originally it was my goal to include relations to ${\mathbb{A}}^1$ Homotopy Theory. However, that might be a bit much for a Master thesis. You can find a more detailed list of (prospective) contents here. A first version of my thesis will be linked here or at the header in near future.