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Permutation polynomials of the form X+γTr(Xk),
with G. Kyureghyan, to appear in
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arXiv:1603.01175.
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54. |
| Factorizations of certain bivariate polynomials,
Acta Arith., to appear,
arXiv:1407.4567.
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53. |
| Uniform boundedness of S-units 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.
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52. |
| On factorizations of maps between curves, with D. Kreso,
arXiv:1405.4753.
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51. |
| Permutation groups generated by binomials,
arXiv:1312.2649.
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50. |
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Permutation polynomials induced from permutations of subfields, and some complete sets of mutually orthogonal latin squares, submitted,
arXiv:1312.1325.
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49. |
| Separated Belyi maps,
with Z. Scherr,
Math. Res. Letters 21 (2014), 1389–1406,
arXiv:1310.2555.
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48. |
| Permutation polynomials on Fq induced from
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Monatsh. Math., to appear,
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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.
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46. |
| Low-degree planar monomials in characteristic two,
with P. Mueller,
J. Algebraic Combinatorics 42 (2015), 695–699,
arXiv:1305.6597.
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45. |
| Some Diophantine equations related to positive-rank elliptic curves,
with G. Moreland, submitted,
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44. |
| Some planar monomials in characteristic 2,
with Z. Scherr,
Annals of Combinatorics 18 (2014), 723–729,
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43. |
| Planar functions and perfect nonlinear
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Designs, Codes and Cryptography
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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 Mordell-Lang question for endomorphisms of semiabelian
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with D. Ghioca and T. Tucker,
J. Théor. Nombres Bordeaux
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39. |
| Chebyshev mappings of finite
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Amer. Math. Monthly
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38. |
| Two questions on polynomial
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Quarterly Journal of Math. (Oxford) 63 (2012), 507–511,
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37. |
| On hyperbolic fixed points in
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p-Adic Numbers, Ultrametric Analysis and Applications
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arXiv:1111.2000
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36. |
| An equality between two towers
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Bull. Braz. Math. Soc., to appear,
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35. |
| Classes of permutation polynomials
based on cyclotomy and an additive analogue,
pp. 355–359 in:
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| On a theorem of Carlitz,
J. Group Theory 17 (2014), 667–669.
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| Linear relations between polynomial orbits,
with D. Ghioca and T. Tucker, Duke Math. J.
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arXiv:0807.3576. |
32. |
| On Ritt's polynomial decomposition theorems,
with P. Müller, submitted,
arXiv:0807.3578. |
31. |
| 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
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arXiv:0805.0441. |
30. |
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Nonisomorphic curves that become isomorphic over extensions of
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with D. Goldstein, R. Guralnick and E. Howe, J. Algebra
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arXiv:0801.4614. |
29. |
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Analogues of the Jordan-Hölder theorem for
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arXiv:0712.4142. |
28. |
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Decompositions of Laurent polynomials, submitted,
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27. |
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A new family of exceptional polynomials in characteristic two,
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26. |
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Polynomials with PSL(2) monodromy,
with R. Guralnick, Annals of Math.
172 (2010), 1315–1359,
arXiv:0707.1835. |
25. |
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pk-torsion of genus two curves
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Math. Comp. 79 (2010), 1833–1838,
arXiv:0705.3932 |
24. |
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Intersections of polynomial orbits, and a
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Inventiones Math. 171 (2008), 463–483,
arXiv:0705.1954. |
23. |
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Equivalence of sparse circulants: the bipartite
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arXiv:0706.1567. |
22. |
Equivalence classes of permutation binomials up to
composition with monomials,
with A. Masuda, preprint. |
21. |
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On some permutation polynomials over GF(q) of the form
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Proc. Amer. Math. Soc.
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Some families of permutation polynomials over finite fields,
Int. J. Number Theory 4 (2008), 851–857,
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19. |
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Rational functions with linear relations,
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Proc. Amer. Math. Soc. 136 (2008), 1403–1408,
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18. |
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Permutation binomials over finite fields,
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17. |
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Nonexistence of permutation binomials of certain shapes,
with A. Masuda,
Electronic J. Combinatorics 14 (2007), N12,
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Polynomials with a common composite,
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15. |
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Exceptional covers and bijections on rational points,
with R. Guralnick and T. Tucker,
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14. |
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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. |
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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. |
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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.
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11. |
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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.
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10. |
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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. |
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On the genera of
X0(N),
with J. Csirik and J. Wetherell, 2000,
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8. |
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Bivariate factorizations connecting Dickson polynomials
and Galois theory,
with S. Abhyankar and S. Cohen,
Trans. Amer. Math. Soc. 352 (2000), 2871–2887. |
7. |
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Factoring Dickson polynomials over finite fields,
with M. Bhargava,
Finite Fields Appl. 5 (1999), 103–111. |
6. |
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Bivariate factorizations via Galois theory,
with application to exceptional polynomials,
J. Algebra 210 (1998), 670–689. |
5. |
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A note on the discriminator,
J. Number Theory 73 (1998), 122–138. |
4. |
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Cycles of Polynomial Mappings,
Ph.D. thesis, Berkeley, 1996. |
3. |
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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. |
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Take-away games,
pp. 351–361 in: Games of No Chance,
Math. Sci. Res. Inst. Publ. 29,
Cambridge Univ. Press, 1996. |
1. |
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Polynomial mappings mod pn,
with D. desJardins, 1994,
arXiv:math/0103046.
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