A finiteness property of postcritically finite unicritical polynomials, with R. L. Benedetto
Submitted to a journal. (Available at https://arxiv.org/pdf/2010.15941.pdf).
Discreteness of postcritically finite maps in p-adic moduli space, with R. L. Benedetto
Submitted to a journal. (Available at https://arxiv.org/pdf/2005.04656.pdf).
Distribution of integral division points on the algebraic torus, with P. Habegger
Transactions of the Amer. Math. Soc. vol 371 (2019), no. 1, 357—386.
(Available at https://www.ams.org/journals/tran/2019-371-01/S0002-9947-2018-07238-5/).
Integral points on the Chebyshev dynamical systems
J. of the Korean Math. Soc. 52 (2015), no. 5, 955—964
(Available at http://koreascience.or.kr/article/JAKO201525947432052.page).
Integral division points on curves, with David Grant
Compositio Math. 149 (2013), 2011—2035
(Available at https://www.cambridge.org/core/journals/compositio-mathematica/article/integral-division-points-on-curves/926FCD580EB982FB89FA76B94F8FC75F).
A nondensity property of preperiodic points on the projective plane
J. of the London Math. Soc. (2), vol. 83 (2011), part 3, 691--710
(Available at https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/jlms/jdq097).
A nondensity property of preperiodic points on Chebyshev dynamical systems
J. of Number Theory, 131 (2011), no. 4, 750--780
A finiteness property for preperiodic points of Chebyshev polynomials, with Thomas J. Tucker
Int. J. of Number Theory, vol 6 (2010), no. 5, 1011--1025
(Available at https://www.worldscientific.com/doi/abs/10.1142/S1793042110003356).
Algebraic points on the projective line
J. of the Korean Math. Soc. 45 (2008), no. 6, 1635--1646
(Available at http://koreascience.or.kr/article/JAKO200811850423345.page).
A finiteness property of torsion points, with M. Baker and R. Rumely
Algebra & Number Theory, Vol. 2 (2008), no. 2, 217--248
(Available at https://msp.org/ant/2008/2-2/p06.xhtml).
Height uniformity for integral points on elliptic curves
Transactions of the Amer. Math. Soc. 358 (2006), no. 4, 1657--1675
(Available at https://www.ams.org/journals/tran/2006-358-04/S0002-9947-05-03760-8/).
Equidistribution of small subvarieties of an abelian variety, with M. Baker
New York J. of Math. 10 (2004), 279--285
(Available at http://nyjm.albany.edu/j/2004/10_279.html).
Height uniformity for algebraic points on curves
Compositio Math. 134 (1), (2002), 35--57