55. 

Permutation polynomials of the form X+γTr(X^{k}),
with G. Kyureghyan, to appear in
Contemporary Developments in Finite Fields and Their Applications.
arXiv:1603.01175.

54. 
 Factorizations of certain bivariate polynomials,
Acta Arith., to appear,
arXiv:1407.4567.

53. 
 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,
arXiv:1406.1990.

52. 
 On factorizations of maps between curves, with D. Kreso,
arXiv:1405.4753.

51. 
 Permutation groups generated by binomials,
arXiv:1312.2649.

50. 

Permutation polynomials induced from permutations of subfields, and some complete sets of mutually orthogonal latin squares, submitted,
arXiv:1312.1325.

49. 
 Separated Belyi maps,
with Z. Scherr,
Math. Res. Letters 21 (2014), 1389–1406,
arXiv:1310.2555.

48. 
 Permutation polynomials on F_{q} induced from
Rédei function bijections on subgroups of F_{q}^{*},
Monatsh. Math., to appear,
arXiv:1310.0776.

47. 
 Rational points on some Fermat curves and surfaces over finite fields,
with F. Voloch,
Int. J. Number Theory 10 (2014), 319–325,
arXiv:1310.1772.

46. 
 Lowdegree planar monomials in characteristic two,
with P. Mueller,
J. Algebraic Combinatorics 42 (2015), 695–699,
arXiv:1305.6597.

45. 
 Some Diophantine equations related to positiverank elliptic curves,
with G. Moreland, submitted,
arXiv:1304.1442.

44. 
 Some planar monomials in characteristic 2,
with Z. Scherr,
Annals of Combinatorics 18 (2014), 723–729,
arXiv:1302.1244.

43. 
 Planar functions and perfect nonlinear
monomials over finite fields,
Designs, Codes and Cryptography
75 (2015), 71–80,
arXiv:1301.5004.

42. 
 Exceptional polynomials,
pp. 229–233 in: Handbook of Finite Fields,
CRC Press, 2013. 
41. 
 Value sets of polynomials,
with G. Mullen,
pp. 225–229 in: Handbook of Finite Fields,
CRC Press, 2013. 
40. 
 The MordellLang question for endomorphisms of semiabelian
varieties,
with D. Ghioca and T. Tucker,
J. Théor. Nombres Bordeaux
23 (2011), 645–666,
arXiv:1310.1988. 
39. 
 Chebyshev mappings of finite
fields, with J. Rosen, Z. Scherr and B. Weiss,
Amer. Math. Monthly
119 (2012), 151–155. 
38. 
 Two questions on polynomial
decomposition, with B. Wyman,
Quarterly Journal of Math. (Oxford) 63 (2012), 507–511,
arXiv:1301.5211. 
37. 
 On hyperbolic fixed points in
ultrametric dynamics, with K.O. Lindahl,
pAdic Numbers, Ultrametric Analysis and Applications
2 (2010), 232–240,
arXiv:1111.2000

36. 
 An equality between two towers
over cubic fields,
Bull. Braz. Math. Soc., to appear,
arXiv:0905.4921.

35. 
 Classes of permutation polynomials
based on cyclotomy and an additive analogue,
pp. 355–359 in:
Additive Number Theory,
Springer, 2010,
arXiv:0810.2830.

34. 
 On a theorem of Carlitz,
J. Group Theory 17 (2014), 667–669.
arXiv:0810.2834.

33. 
 Linear relations between polynomial orbits,
with D. Ghioca and T. Tucker, Duke Math. J.
161 (2012), 1379–1410.
arXiv:0807.3576. 
32. 
 On Ritt's polynomial decomposition theorems,
with P. Müller, submitted,
arXiv:0807.3578. 
31. 
 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.
arXiv:0805.0441. 
30. 

Nonisomorphic curves that become isomorphic over extensions of
coprime degrees,
with D. Goldstein, R. Guralnick and E. Howe, J. Algebra
320 (2008), 2526–2558,
arXiv:0801.4614. 
29. 

Analogues of the JordanHölder theorem for
transitive Gsets,
with G. Kuperberg and R. Lyons, submitted,
arXiv:0712.4142. 
28. 

Decompositions of Laurent polynomials, submitted,
arXiv:0710.1902. 
27. 

A new family of exceptional polynomials in characteristic two,
with R. Guralnick and J. Rosenberg, Annals of Math.
172 (2010), 1367–1396,
arXiv:0707.1837. 
26. 

Polynomials with PSL(2) monodromy,
with R. Guralnick, Annals of Math.
172 (2010), 1321–1365,
arXiv:0707.1835. 
25. 

p^{k}torsion of genus two curves
over GF(p^{m}),
Math. Comp. 79 (2010), 1833–1838,
arXiv:0705.3932 
24. 

Intersections of polynomial orbits, and a
dynamical MordellLang conjecture,
with D. Ghioca and T. Tucker,
Inventiones Math. 171 (2008), 463–483,
arXiv:0705.1954. 
23. 

Equivalence of sparse circulants: the bipartite
Ádám problem,
with D. Wiedemann, submitted,
arXiv:0706.1567. 
22. 
Equivalence classes of permutation binomials up to
composition with monomials,
with A. Masuda, preprint. 
21. 

On some permutation polynomials over GF(q) of the form
x^{r}h(x^{(q1)/d}),
Proc. Amer. Math. Soc.
137 (2009), 2209–2216,
arXiv:0707.1110. 
20. 

Some families of permutation polynomials over finite fields,
Int. J. Number Theory 4 (2008), 851–857,
arXiv:0707.1111. 
19. 

Rational functions with linear relations,
with A. Masuda,
Proc. Amer. Math. Soc. 136 (2008), 1403–1408,
arXiv:0705.2182. 
18. 

Permutation binomials over finite fields,
with A. Masuda,
Trans. Amer. Math. Soc.
361 (2009), 4169–4180,
arXiv:0707.1108. 
17. 

Nonexistence of permutation binomials of certain shapes,
with A. Masuda,
Electronic J. Combinatorics 14 (2007), N12,
arXiv:0707.1102. 
16. 

Polynomials with a common composite,
with R. Beals and J. Wetherell, Israel J. Math.
174 (2009), 93–117,
arXiv:0707.1552. 
15. 

Exceptional covers and bijections on rational points,
with R. Guralnick and T. Tucker,
Internat. Math. Res. Notices 2007: article ID
rnm004, 19 pages,
arXiv:math/0511276.

14. 

Everywhere ramified towers of global function fields,
with I. Duursma and B. Poonen,
pp. 148–153 in: Finite Fields and Applications,
Lecture Notes in Comput. Sci. 2948, Springer, 2004,
arXiv:0810.2842. 
13. 

Symplectic spreads and permutation polynomials,
with S. Ball,
pp. 79–88 in: Finite Fields and Applications,
Lecture Notes in Comput. Sci. 2948, Springer, 2004,
arXiv:0810.2839. 
12. 

Curves of every genus with many points, II: Asymptotically good
families,
with N. Elkies, E. Howe, A. Kresch, B. Poonen and J. Wetherell,
Duke Math. J. 122 (2004), 399–422,
arXiv:math/0208060.

11. 

Curves of every genus with many points, I: Abelian and
toric families,
with A. Kresch and J. Wetherell,
J. Algebra 250 (2002), 353–370,
arXiv:math/9912069.

10. 

Incomplete character sums and a special class of permutations,
with S. Cohen, H. Niederreiter and I. Shparlinski,
J. Theor. Nombres Bordeaux 13 (2001), 53–63. 
9. 

On the genera of
X_{0}(N),
with J. Csirik and J. Wetherell, 2000,
arXiv:math/0006096.

8. 

Bivariate factorizations connecting Dickson polynomials
and Galois theory,
with S. Abhyankar and S. Cohen,
Trans. Amer. Math. Soc. 352 (2000), 2871–2887. 
7. 

Factoring Dickson polynomials over finite fields,
with M. Bhargava,
Finite Fields Appl. 5 (1999), 103–111. 
6. 

Bivariate factorizations via Galois theory,
with application to exceptional polynomials,
J. Algebra 210 (1998), 670–689. 
5. 

A note on the discriminator,
J. Number Theory 73 (1998), 122–138. 
4. 

Cycles of Polynomial Mappings,
Ph.D. thesis, Berkeley, 1996. 
3. 

A family of exceptional polynomials in characteristic three,
with H. Lenstra,
pp. 209–218 in: Finite Fields and Applications,
London Math. Soc. Lecture Note Ser. 233, Cambridge Univ. Press,
Cambridge, 1996. 
2. 

Takeaway games,
pp. 351–361 in: Games of No Chance,
Math. Sci. Res. Inst. Publ. 29,
Cambridge Univ. Press, 1996. 
1. 

Polynomial mappings mod p^{n},
with D. desJardins, 1994,
arXiv:math/0103046.
