Katherine Stange

An illustration in number theory: abelian sandpiles and Schmidt arrangements

This talk ranges over some number theoretical topics I've come across recently which have interesting visual aspects. I'll discuss a question in abelian sandpiles and relate it to Schmidt arrangements, which are pictures, from the world of hyperbolic geometry, that illustrate properties of certain rings of integers. The talk will be (perhaps only slightly) adapted from a colloquium-style talk, so will be fairly generally accessible.