# Carsten Peterson

### Office: East Hall 1860

Hello, my name is Carsten Peterson. I am a fourth year graduate student at the University of Michigan. I did my undergrad at Yale University. My advisor is Ralf Spatzier. My current focus is in the direction of quantum ergodicity, which relates ergodicity of a dynamical system with equidistribution of the eigenfunctions of the corresponding Laplace operator. More specifically I am working on formulating a version of quantum ergodicity for affine buildings, which can be interpreted as discrete (or, in some cases, p-adic) analogues of symmetric spaces (the rank one affine buildings are the infinite regular trees). More generally my interests are broad and ever-growing: $\{$things I don't like$\}$ $\subset$ $\{$things I don't understand$\}$.