| 15. | On the set of periodic orbits of a polynomial over a ring, with G. Iyer and F. Jiang, in preparation. |
| 14. | Polynomial decomposition over rings, with B. Wyman, in preparation. |
| 13. | On the rate of growth of backwards orbits of rational functions, with arithmetic applications, with M. Logue and D. Spadacene, in preparation. |
| 12. | Uniform bounds on polynomial preimages, with A. Carney and R. Hortsch, in preparation. |
| 11. | Variants of Belyi's theorem, with E. Brooks, J. Rosen, Z. Scherr and B. Weiss, in preparation. |
| 10. | How to beat the Taxman, with D. Spadacene, in preparation. |
| 9. | A new proof of the Segre–Bartocci conjecture, with K. Carde, in preparation. |
| 8. | Integral points in grand orbits, with A. Shnidman, submitted for publication. |
| 7. | Uniform bounds on primitive prime divisors in dynamical sequences, with J. Rosen, submitted for publication. |
| 6. | Chebyshev mappings of finite fields, with J. Rosen, Z. Scherr and B. Weiss, Amer. Math. Monthly, to appear. |
| 5. | Two questions on polynomial decomposition, with B. Wyman, Quarterly Journal of Math. (Oxford), to appear. |
| 4. | Uniform bounds on pre-images under quadratic dynamical systems, with X. Faber, B. Hutz, P. Ingram, R. Jones, M. Manes and T. Tucker, Math. Research Letters 16 (2009), 87–101. |
| 3. | Permutation binomials over finite fields, with A. Masuda, Trans. Amer. Math. Soc. 361 (2009), 4169–4180. |
| 2. | Rational functions with linear relations, with A. Masuda, Proc. Amer. Math. Soc. 136 (2008), 1403–1408. |
| 1. | Nonexistence of permutation binomials of certain shapes, with A. Masuda, Electronic J. Combinatorics 14 (2007), N12. |