My research interests are in diophantine geometry, arithmetic dynamics, and algebraic number theory; I work on theoretical as well as computational aspects of these subjects. For a description of my current projects, see my research statement.

Computing points of bounded height in projective space over a number field.pdf

To appear in *Mathematics of Computation*.

Preperiodic points for quadratic polynomials over quadratic fields.pdf

With John Doyle and Xander Faber. *New York J. Math. 20 (2014) pp. 507-605.*

- “Squarefree parts of polynomial values”. Submitted.view on arXiv

- “Classification of preperiodic structures for quadratic polynomials over quadratic fields”. With John Doyle and Joseph Wetherell.
- “A local-global principle in the dynamics of quadratic polynomials”