My research interests are in the areas of diophantine geometry, arithmetic dynamics, and algebraic number theory.

I work on theoretical as well as computational aspects of these subjects.

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

- “Preperiodic points for quadratic polynomials over quadratic fields, III”. With John Doyle and Joseph Wetherell.
- “A local-global principle in the dynamics of quadratic polynomials”