Papers

- On non-Archimedean curves omitting few components, Canad. J. Math. 69 (2017), no. 1, 130–142. (with Julie Wang). arXiv
- Integral points of bounded degree on affine curves, Compos. Math. 152 (2016), no. 4, 754–768. arXiv
- The Nagell-Ljunggren equation via Runge's method, Monatsh. Math. 177 (2015), no. 1, 15–31, (with Mike Bennett) arXiv published
- Uniform boundedness of S-units in arithmetic dynamics, Pacific J. Math. 274 (2015), no. 1, 97-106 (with Holly Krieger, Zach Scherr, Tom Tucker, Yu Yasufuku, Mike Zieve). arXiv published
- On the p-adic Second Main Theorem, Proc. Amer. Math. Soc. 143 (2015), no. 2, 633-640. arXiv published
- Wirsing-type inequalities, Bull. Inst. Math. Acad. Sin. (N.S.) 9 (2014), no. 4, 685-710. arXiv published
- On the Schmidt Subspace Theorem for algebraic points, Duke Math. J. 163 (2014), no. 15, 2841-2885. arXiv published
- Linear forms in logarithms and integral points on higher-dimensional varieties, Algebra Number Theory 8 (2014), no. 3, 647–687. arXiv published
*Siegel's Theorem and the Shafarevich Conjecture*, J. Théor. Nombres Bordeaux 24 (2012), no. 3, p. 705-727 arXiv published-
*Pulling back torsion line bundles to ideal classes*, Math. Res. Lett. 19 (2012), no. 6, 1171-1184 (with Jean Gillibert). arXiv published -
*Rational preimages in families of dynamical systems*, Monatsh. Math. 168 (2012), no. 3-4, 473–501 arXiv published -
*Ideals of degree one contribute most of the height*, Algebra & Number Theory 6 (2012), no. 6, 1223-1238 (with David McKinnon). arXiv published -
*The exceptional set in Vojta's conjecture for algebraic points of bounded degree*, Proc. Amer. Math. Soc. 140 (2012), no. 7, 2267-2277. arXiv published -
*A p-adic Nevanlinna-Diophantine correspondence*, Acta Arith.**146**(2011), 379-397. (with Ta Thi Hoai An and Julie Wang). published -
*Integral points on threefolds and other varieties*, Tohoku Math. J. (2)**61**(2009), no. 4, 589-601 (with Pietro Corvaja and Umberto Zannier). published -
*Generalizations of Siegel's and Picard's theorem*, Ann. of Math. (2)**170**(2009), no. 2, 609-655. published -
*Variations on a theme of Runge: effective determination of integral points on certain varieties*, J. Théor. Nombres Bordeaux**20**(2008), no. 2, 385-417. published -
*On the error terms and exceptional sets in conjectural second main theorems*, Q. J. Math.**59**(2008), no. 4, 487-498 (with David McKinnon and Jörg Winkelmann). published -
*The dimensions of integral points and holomorphic curves on the complements of hyperplanes*, Acta Arith.**134**(2008), no.3, 259-270. published -
*On the Zariski-density of integral points on a complement of hyperplanes in P^n*, J. Number Theory**128**(2008), no.1, 96-104. published -
*Ideal class groups, Hilbert's irreducibility theorem, and integral points of bounded degree on curves*, J. Théor. Nombres Bordeaux**19**(2007), no.2, 485-499. published -
*Vojta's inequality and rational and integral points of bounded degree on curves*, Compos. Math.**143**(2007), no.1, 73-81. published -
*One-parameter families of unit equations*, Math. Res. Lett.**13**(2006), no.5-6, 935-945. published -
*A geometric interpretation of an infinite product for the lemniscate constant*, Amer. Math. Monthly**113**(2006), no.6, 510-520. published -
*A new class of infinite products generalizing Viète's product formula for pi*, Ramanujan J.**10**(2005), no.3, 305-324. published

Research statement

CV