Papers
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  2. A New Diophantine Approximation Inequality on Surfaces and Its Applications, (submitted) (with Keping Huang and Zheng Xiao) arXiv
  3. Integral points on elliptic curves with j-invariant 0 over k(t), (submitted) (with  Jean Gillibert and Emmanuel Hallouin) arXiv
  4. Arithmetic rank bounds for abelian varieties over function fields, Isr. J. Math. (accepted) (with  Felix Baril Boudreau and Jean Gillibert) arXiv 
  5. Counting Imaginary Quadratic Fields with an Ideal Class Group of 5-rank at least 2, Ramanujan J. 68 (2025), no. 1, Paper No. 26, 8 pp. (with Kollin Bartz and Aman Thamminana)  published
  6. Symmetric products and puncturing Campana-special varieties, Proc. Lond. Math. Soc. (3) 131 (2025), no. 6, Paper No. e70108, 33 pp. (with Finn Bartsch and Ariyan Javanpeykar)  published
  7. A Schmidt-Nochka Theorem for closed subschemes in subgeneral position, J. Reine Angew. Math. (Crelle's Journal) 819 (2025), 205--229 (with  Gordon Heier). published
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  9. Urata's theorem in the logarithmic case and applications to integral points, Bull. Lond. Math. Soc., 54, (2022), no. 5, 1772–-1790 (with Ariyan Javanpeykar) published
  10. Descent on elliptic surfaces and arithmetic bounds for the Mordell-Weil rank, Algebra Number Theory 16, (2022), no. 2, 311-333 (with Jean Gillbert). arXiv published
  11. Intersections in subvarieties of G_m^l and applications to lacunary polynomials,  Trans. Amer. Math. Soc. 375 (2022), no.1, 71-86  (with Pietro Corvaja and Umberto Zannier) published
  12. A generalized Schmidt subspace theorem for closed subschemes, Amer. J. Math. 143 (2021), no.1, 213-227 (with Gordon Heier). arXiv published
  13. Quadratic fields with a class group of large 3-rank, Acta Arith. 197 (2021), no. 3, 275–-292 (with Yan Shengkuan and Luke Wiljanen) published
  14. A geometric approach to large class groups: a survey, Class Groups of Number Fields and Related Topics, Springer (2020), 1-15 (with Jean Gillibert). arXiv published
  15. Greatest common divisors of analytic functions and Nevanlinna theory on algebraic tori,  J. Reine Angew. Math. (Crelle's Journal) 767 (2020), 77-107  (with Julie Wang) arXiv published
  16. On the degeneracy of integral points and entire curves in the complement of nef effective divisors, J. Number Theory 217 (2020), 301–-319 (with Gordon Heier) arXiv published
  17. Elliptic surfaces over P^1 and large class groups of number fields,  Int. J. Number Theory, 15, (2019), no. 10, 2151-2162 (with Jean Gillibert) arXiv published
  18. Greatest common divisors and Vojta's conjecture for blowups of algebraic tori, Invent. Math., 215 (2019), no. 2, 493-533. published
  19. Integral points and orbits of endomorphisms on the projective plane, Trans. Amer. Math. Soc., 371 (2019), no. 2, 971--1002 (with Yu Yasufuku). arXiv published
  20. Extending Runge's method for integral points, Higher genus curves in mathematical physics and arithmetic geometry, Contemp. Math., 703 (2018), 171--188. published
  21. On non-Archimedean curves omitting few components, Canad. J. Math. 69 (2017), no. 1, 130–142. (with Julie Wang). arXiv published
  22. Integral points of bounded degree on affine curves, Compos. Math. 152 (2016), no. 4, 754–768. arXiv published
  23. The Nagell-Ljunggren equation via Runge's method, Monatsh. Math. 177 (2015), no. 1, 15–31, (with Mike Bennett)  arXiv  published
  24. 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
  25. On the p-adic Second Main Theorem, Proc. Amer. Math. Soc. 143 (2015), no. 2, 633-640. arXiv  published
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  27. On the Schmidt Subspace Theorem for algebraic points, Duke Math. J. 163 (2014), no. 15, 2841-2885. arXiv  published
  28. Linear forms in logarithms and integral points on higher-dimensional varieties,  Algebra Number Theory 8 (2014), no. 3, 647–687. arXiv   published
  29. Siegel's Theorem and the Shafarevich Conjecture, J. Théor. Nombres Bordeaux 24 (2012), no. 3, p. 705-727 arXiv  published
  30. Pulling back torsion line bundles to ideal classes, Math. Res. Lett. 19 (2012), no. 6, 1171-1184 (with Jean Gillibert). arXiv  published
  31. Rational preimages in families of dynamical systems, Monatsh. Math. 168 (2012), no. 3-4, 473–501 arXiv  published
  32. Ideals of degree one contribute most of the height, Algebra & Number Theory 6 (2012), no. 6, 1223-1238 (with David McKinnon). arXiv  published
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  34. A p-adic Nevanlinna-Diophantine correspondence, Acta Arith. 146 (2011), 379-397. (with Ta Thi Hoai An and Julie Wang).  published
  35. Integral points on threefolds and other varieties, Tohoku Math. J. (2) 61 (2009), no. 4, 589-601 (with Pietro Corvaja and Umberto Zannier).  published
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  38. 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
  39. The dimensions of integral points and holomorphic curves on the complements of hyperplanes, Acta Arith. 134 (2008), no.3, 259-270.  published
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  44. A geometric interpretation of an infinite product for the lemniscate constant, Amer. Math. Monthly 113 (2006), no.6, 510-520.  published
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