Papers and preprints


Note: Clicking on "pdf" or "postscript" will bring up a pdf or postscript verion of the paper. Clicking on "link to journal" will either bring up a page from the journal's web-site with an abstract of the paper and various downloading options or will bring up a pdf version of the paper from the journal's web-site, provided that you are on a computer system that has an on-line subscription to that journal.




D. Ghioca and T. J. Tucker. "Periodic points, linearizing maps, and the dynamical Mordell-Lang problem." In submission., 14 pages (preprint pdf)

X. Faber, B. Hutz, P. Ingram, R. Jones, M. Manes, T. J. Tucker, M. E. Zieve "Uniform bounds on pre-images under quadratic dynamical systems." In submission, 15 pages. (preprint pdf)

S.-I. Ih and T. J. Tucker. "A finiteness property for preperiodic points of Chebyshev polynomials." In submission, 12 pages. (preprint pdf)

R. Benedetto, D. Ghioca, P. Kurlberg, T. J. Tucker. "The dynamical Mordell-Lang conjecture." In submission, 18 pages. (preprint pdf)

D. Ghioca, T. J. Tucker, and M. E. Zieve. "Intersections of polynomial orbits, and a dynamical Mordell-Lang conjecture." Inventiones Math. 171 (2008), 463--483. (paper pdf)

D. Ghioca and T. J. Tucker. "p-adic logarithms for polynomial dynamics." 11 pages, the results of this paper have been subsumed by recent more general results. (preprint pdf)

D. Ghioca and T. J. Tucker. "Mordell-Lang and Skolem-Mahler-Lech theorems for endomorphisms of semiabelian varieties." 13 pages, the results of this paper have been subsumed by recent more general results. (preprint pdf)

D. Ghioca and T. J. Tucker. "A dynamical version of the Mordell-Lang conjecture for the additive group." Compositio Math., to appear. (preprint pdf)

D. Ghioca and T. J. Tucker. "Siegel's theorem for Drinfeld modules." Math. Ann. 339 (2007), 37--60.(paper pdf)

D. Ghioca and T. J. Tucker. "Equidistribution and integral points for Drinfeld modules." Trans. Amer. Math. Soc., to appear. (preprint pdf)

L. Szpiro and T. J. Tucker. "Equidistribution and generalized Mahler measures." In submission, 29 pages. (preprint pdf)

L. Szpiro and T. J. Tucker. "A Shafarevich-Faltings theorem for rational maps." Pure and Applied Math. Quarterly, 2:37-48.(preprint pdf)

L. Szpiro and T. J. Tucker. "One half log discriminant." Diophantine Geometry Proceedings (Pisa, April-July 2005), Publications of the Scuola Normale Superiore, Pisa, 2007. (preprint Postscript)

R. M. Guralnick, T. J. Tucker, and M. E. Zieve. "Exceptional covers and bijections on rational points." Int. Math. Res. Not., Vol. 2007, article ID rnm004, 19 pages. (paper pdf)

J. Pineiro, L. Szpiro, and T. J. Tucker. "Mahler measure for dynamical systems on P1 and intersection theory on a singular arithmetic surface." In, F. Bogomolov and Y. Tschinkel, editors, Geometric methods in algebra and number theory, Progress in Math 235, pages 219--250, Birkhauuser, 2004. (preprint pdf)

P. Cutter, A. Granville, and T. J. Tucker. "The number of fields generated by the square root of a given polynomial." Canad. Math. Bull. 46 (2003), 71--79. (paper pdf)

A. Granville and T. J. Tucker. "It's as easy as abc." Notices Amer. Math. Soc. 49 (2002), no. 10, 1224--1231.(paper pdf)

D. Lorenzini and T. J. Tucker. "Thue equations and the method of Chabauty-Coleman." Inventiones Math. 148 (2002), 47--77. (paper pdf)

T. J. Tucker. "Irreducibility, Brill-Noether loci, and Vojta's inequality." Trans. Amer. Math. Soc. 354 (2002), 3011 -- 3029. (paper pdf)

X. Song and T. J. Tucker. "Arithmetic discriminants and morphisms of curves." Trans. Amer. Math. Soc. 353 (2001) 1921--1936. (paper pdf)

X. Song and T. J. Tucker. "Dirichlet's Theorem, Vojta's inequality, and Vojta's conjecture." Compositio Math. 116 (1999), 219--238. (paper pdf)
Last modified: Thu Jan 18 17:40:56 EST 2007