16. 
On the rate of growth of backwards orbits of rational functions, with arithmetic applications,
with M. Logue and D. Spadacene, in preparation. 
15. 
Nearinjectivity of polynomial functions on number fields,
with A. Carney and R. Hortsch, in preparation. 
14. 
How to beat the Taxman, with
D. Spadacene, in preparation. 
13. 
Integral points in grand orbits, with
A. Shnidman, submitted for publication. 
12. 
Uniform bounds on primitive prime divisors in
dynamical sequences, with J. Rosen,
submitted for publication. 
11. 
On factorizations of maps between curves, with D. Kreso,
submitted for publication. 
10. 
Uniform boundedness of Sunits in arithmetic dynamics,
with H. Krieger, A. Levin, Z. Scherr,
T. Tucker, and Y. Yasufuku, Pacific J. Math. 274 (2015),
97–106. 
9. 
Separated Belyi maps,
with Z. Scherr, Math. Research Letters, to appear. 
8. 
Some planar monomials in characteristic 2,
with Z. Scherr, Annals of Combinatorics 18 (2014),
723–729. 
7. 
Chebyshev mappings of finite
fields, with J. Rosen, Z. Scherr and B. Weiss,
Amer. Math. Monthly 119 (2012), 151–155. 
6. 
Two questions on polynomial
decomposition, with B. Wyman,
Quarterly Journal of Math. (Oxford) 63 (2012), 507–511. 
5. 
On hyperbolic fixed points in ultrametric dynamics, with
K.O. Lindahl,
pAdic Numbers, Ultrametric Analysis and Applications 2 (201), 232–240. 
4. 
Uniform bounds on preimages 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. 