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