The Dynamical Mordell-Lang Conjecture is an analogue of the classical Mordell-Lang
conjecture in the context of arithmetic dynamics. It predicts the behavior of the orbit of a point …

The conjectures associated with the names of Zilber-Pink greatly generalize results
associated with the names of Manin-Mumford and Mordell-Lang, but unlike the latter they …

We prove a result (see Theorem 1.1) regarding unlikely intersections of orbits for a given 1-
parameter family of Drinfeld modules. We also advance a couple of general conjectures …

We prove a Siegel type statement for finitely generated ϕ-submodules of G _a under the
action of a Drinfeld module ϕ. This provides a positive answer to a question we asked in a …

A dynamical version of the Mordell–Lang conjecture for the additive group Page 1 Compositio
Math. 144 (2008) 304–316 doi:10.1112/S0010437X07003260 A dynamical version of the …

Zariski dense orbits for endomorphisms of a power of the additive group scheme defined
over finite fields - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & …

We prove that the local height of a point on a Drinfeld module can be computed by
averaging the logarithm of the distance to that point over the torsion points of the module …

§ 1. Introduction. This is the set of notes from a special topics course I gave at Notre Dame in
Fall 2000 (September 20–October 13). I develop here some of the model theory of difference …

In the goundbreaking paper [BD11](which opened a wide avenue of research regarding
unlikely intersections in arithmetic dynamics), Baker and DeMarco prove that for the family of …

§ 1. Introduction. With Hrushovski's proof of the function field Mordell-Lang conjecture [16]
the relevance of geometric stability theory to diophantine geometry first came to light. A gulf …