I work in model theory and some related aspects of number theory. I am especially interested in the complex exponential field, in particular the quasiminimality conjecture, and the conjecture on unlikely intersections with tori (CIT). Both of these were formulated by Boris Zilber. Work in the direction of these conjectures involves applied model theory.
Within pure model theory, I am interested in the tameness property of distality and the general question of how tameness properties are preserved when structures are expanded in various ways.
O-minimality and the Pila-Wilkie theorem are connected to several of my interests and part of my work has been on the project of obtaining stronger versions of the conclusion of this theorem in certain situations.