Jonathan Wise

I will describe an approach to constructing a compact moduli space of hyperplane arrangements use logarithmic and tropical geometry.

The stack of stable maps parameterizes maps from a complete curves having at worst nodal singularities into a smooth scheme. Generally this stack is not smooth, but we will explain how it can be made smooth by relaxing the condition that the source...

Abstract: I will explain an interpretation of Illusie's results on the deformation theory of commutative rings in terms of the cohomological classification of torsors and gerbes. Then I'll show how this point of view can be used to solve some other...