Papers written by Dragos Ghioca

PhD thesis (Berkeley, May 2005). PDF

Publications

  1. The Mordell-Lang theorem for Drinfeld modules. Internat. Math. Res. Notices , 2005, no. 53, 3273-3307. PDF
  2. Equidistribution for torsion points of a Drinfeld module. Math. Ann., 2006, vol. 336, no. 4, 841-865. PDF
  3. Division points on subvarieties of isotrivial semiabelian varieties. (with Rahim Moosa). Internat. Math. Res. Notices, 2006, no. 19, Article ID 65437, 1-23. PDF
  4. The Lehmer inequality and the Mordell-Weil theorem for Drinfeld modules. J. Number Theory, 2007, vol. 122, no. 1, 37-68. PDF
  5. The local Lehmer inequality for Drinfeld modules. J. Number Theory, 2007, vol. 123, no. 2, 426-455. PDF
  6. The Tate-Voloch Conjecture for Drinfeld modules. J. Number Theory, 2007, vol. 125, no. 1, 85-94. PDF
  7. Siegel's Theorem for Drinfeld modules. (with Thomas J. Tucker). Math. Ann., 2007, vol. 339, no. 1, 37-60. PDF
  8. Mordell exceptional locus for subvarieties of the additive group. Math. Res. Lett., 2008, vol. 15, no. 1, 43-50. PDF
  9. Intersections of polynomial orbits, and a dynamical Mordell-Lang conjecture. (with Thomas J. Tucker and Michael E. Zieve). Invent. Math., 2008, vol. 171, no. 2, 463-483. PDF
  10. A dynamical version of the Mordell-Lang conjecture for the additive group. (with Thomas J. Tucker). Compositio Math., 2008, vol. 164, no. 2, 304-316. PDF
  11. The isotrivial case in the Mordell-Lang Theorem. Tran. Amer. Math. Soc., 2008, vol. 360, no. 7, 3839-3856. PDF
  12. Equidistribution and integral points for Drinfeld modules. (with Thomas J. Tucker). Tran. Amer. Math. Soc., 2008, vol. 360, no. 9, 4863-4887. PDF
  13. On permutation polynomials of prescribed shape. (with Amir Akbary and Qiang Wang). Finite Fields Appl., 2009, vol. 15, no. 2, 195-206. PDF
  14. Periodic points, linearizing maps, and the dynamical Mordell-Lang problem. (with Thomas J. Tucker). J. Number Theory, 2009, vol. 129, no. 6, 1392-1403. PDF
  15. Points of small height on varieties defined over a function field. Canad. Math. Bull., 2009, vol. 52, no. 2, 237-244. PDF
  16. Periods of orbits modulo primes. (with Amir Akbary). J. Number Theory, 2009, vol. 129, no. 11, 2831-2842. PDF
  17. Proof of a dynamical Bogomolov conjecture for lines under polynomial actions. (with Thomas J. Tucker). Proc. Amer. Math. Soc., 2010, vol. 138, no. 3, 937-942. PDF
  18. Elliptic curves over the perfect closure of a function field. Canad. Math. Bull., 2010, vol. 53, no. 1, 87-94. PDF
  19. Towards the full Mordell-Lang conjecture for Drinfeld modules. Canad. Math. Bull., 2010, vol. 53, no. 1, 95-101. PDF
  20. Reductions of points on elliptic curves. (with Amir Akbary and V. Kumar Murty). Math. Ann., 2010, vol. 347, no. 2, 365-394. PDF
  21. A gap principle for dynamics. (with Robert L. Benedetto, Par Kurlberg and Thomas J. Tucker). Compositio Math., 2010, vol. 146, no. 4, 1056-1072. PDF
  22. The dynamical Mordell-Lang problem for etale maps. (with Jason P. Bell and Thomas J. Tucker). Amer. J. Math., 2010, vol. 132, no. 6, 1655-1675. PDF
  23. On constructing permutations of finite fields. (with Amir Akbary and Qiang Wang). Finite Fields Appl., 2011, vol. 17, no. 1, 51-67. PDF
  24. Towards a dynamical Manin-Mumford conjecture. (with Thomas J. Tucker and Shou-Wu Zhang). Internat. Math. Res. Notices, 2011, no. 22, 5109-5122. PDF
  25. The Mordell-Lang question for endomorphisms of semiabelian varieties. (with Thomas J. Tucker and Michael E. Zieve). J. Theor. Nombres Bordeaux, 2011, vol. 23, no. 3, 645-666. PDF
  26. A case of the dynamical Mordell-Lang conjecture. (with Robert L. Benedetto, Par Kurlberg and Thomas J. Tucker, with an Appendix by Umberto Zannier). Math. Ann., 2012, vol. 352, no. 1, 1-26. PDF
  27. A geometric variant of Titchmarsh Divisor problem. (with Amir Akbary). Internat. J. Number Theory, 2012, vol. 8, no.1, 53-69. PDF
  28. Linear relations between polynomial orbits. (with Thomas J. Tucker and Michael E. Zieve). Duke Math. J., 2012, vol. 161, no. 7, 1379-1410. PDF
  29. Periods of rational maps modulo primes. (with Robert L. Benedetto, Benjamin A. Hutz, Par Kurlberg, Thomas Scanlon and Thomas J. Tucker). Math. Ann., 2013, vol. 355, no. 2, 637-660. PDF
  30. Algebraic equations on the adelic closure of a Drinfeld module. (with Thomas Scanlon). Israel J. Math., 2013, vol. 194, no. 1, 461-483. PDF
  31. Preperiodic points for families of polynomials. (with Liang-Chung Hsia and Thomas J. Tucker). Algebra & Number Theory, 2013, vol. 7, no. 3, 701-732. PDF
  32. Unlikely, likely and impossible intersections without algebraic groups. (with Zoe Chatzidakis, David Masser and Guillaume Maurin). Rend. Lincei Mat. Appl., 2013, vol. 24, 485-501. PDF
  33. Variation of the canonical height in a family of rational maps. (with Myrto Mavraki). New York J. Math., 2013, vol. 19, 873-907. PDF
  34. Torsion points in families of Drinfeld modules. (with Liang-Chung Hsia). Acta Arith., 2013, vol. 161, no. 3, 219-240. PDF
  35. Integral points for Drinfeld modules. J. Number Theory, 2014, vol. 140, 93-121. PDF
  36. Applications of p-adic analysis for bounding periods of subvarieties under etale maps. (with Jason P. Bell and Thomas J. Tucker). to appear in International Mathematics Research Notices. PDF
  37. A Bogomolov type statement for function fields. to appear in Bulletin of the Institute of Mathematics Academia Sinica. PDF
  38. Preperiodic points for families of rational maps. (with Liang-Chung Hsia and Thomas J. Tucker). submitted for publication. PDF
  39. The Dynamical Mordell-Lang problem for Noetherian spaces. (with Jason P. Bell and Thomas J. Tucker). submitted for publication. PDF
  40. The Dynamical Mordell-Lang Conjecture. (with Jason P. Bell and Thomas J. Tucker). book in preparation, 189 pages.