Denis Hirschfeldt (University of Chicago)
Categoricity Properties for Computable Algebraic Fields

I will examine issues related to the computable dimension of algebraic fields, including results that show that this class of structures sits at the border between classes with good structure theorems from the point of view of computable structure theory and classes that permit "pathological" examples, such as structures of finite computable dimension greater than one.

(Joint work with Ken Kramer, Russell Miller, and Alexandra Shlapentokh.)