T. Tucker

activity

20002025

most citedThe dynamical Mordell-Lang problem for etale maps

63 citations · 137 across the 19 of their papers we have counts for

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math.DS2015

Unlikely Intersection For Two-Parameter Families of Polynomials

Dragos Ghioca, Liang-Chung Hsia, Thomas J. Tucker

Let $c_{1}, c_{2}, c_{3}$ be distinct complex numbers, and let $d \geq 3$ be an integer. We show that the set of all pairs $(a, b) \in C \times C$ such that each $c_{i}$ is pr…

math.DS2011

Preperiodic points for families of polynomials

Dragos Ghioca, Liang-Chung Hsia, Thomas Tucker

Let $a (λ)$ and $b (λ)$ be two polynomials with coefficients in complex numbers and let $f_{\lamb$ be a one-parameter family of polynomials indexed by all complex numbers $λ$ . We stu…