Papers and preprints
Note: Clicking on
"pdf" or "postscript" will bring up a pdf or postscript verion of
the paper.
R. Benedetto, D. Ghioca, P. Kurlberg, T. J. Tucker. "A gap
principle for dynamics" In submission, 21 pages. (preprint pdf)
J. P. Bell, D. Ghioca, and T. J. Tucker. "The dynamical Mordell-Lang
problem for etale maps." Amer. J. Math., to appear, 19 pages. (preprint pdf)
D. Ghioca, T. J. Tucker, and M. E. Zieve. "Linear relations
between polynomial orbits." In submission, 27 pages. (preprint pdf)
D. Ghioca and T. J. Tucker. "Proof of a dynamical Bogomolov
conjecture for lines under polynomial actions."
Proc. Amer. Math Soc., to appear. (preprint pdf)
D. Ghioca and T. J. Tucker. "Periodic points, linearizing
maps, and the dynamical Mordell-Lang problem." J. Number
Theory 129 (2009), 1392--1403. (paper 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." Math. Res. Lett. 16
(2009), 87--101. (paper pdf)
S.-I. Ih and T. J. Tucker. "A finiteness property for
preperiodic points of Chebyshev polynomials." Int. J. Number
Theory, to appear. (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., 144 (2008), 304--316. (paper
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. 360
(2008), 4863--4887. (paper
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 Appl. Math. Q. 4
(2008), 715--728. (paper 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