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 as well as more general topological spaces.
Cardinal Invariants of Closed Graphs (with Jindrich Zapletal). Published in Israel Journal of Mathematics. Closed Graphs Loose Number