Research

My research is in mathematical logic, specifically set theory and computability.

In computability, my current work is in the connections between computable model theory and the model-theoretic concept of ultrahomogeneity.

In set theory, I am investigating properties of definable (closed, Borel, etc.) graphs on Polish spaces.

Publications:

Cardinal Invariants of Closed Graphs (with Jindrich Zapletal). Published in Israel Journal of Mathematics. Closed Graphs Loose Number

Computability and Categoricity of Weakly Ultrahomogeneous Structures (with Douglas Cenzer). Published in Computability.  CompCat of WUH Structures