Khoa Dang Nguyen

Room: MS 427 Time: 9:30am-11am. Monday 19 Aug: Khoa Nguyen (Calgary) will talk about heights and certain diophantine results in arithmetic dynamics. Tuesday 20 Aug: Andrew Bridy (Yale) will talk about arboreal Galois representations and finite index...

A power series f(x1,…,xm)∈C[[x1,…,xm]] is said to be D-finite if all the partial derivatives of f span a finite dimensional vector space over the field C(x1,…,xm). For the univariate series f(x)=∑anxn, this is equivalent to the condition that the...

We will introduce the Dynamical Mordell-Lang problem by Ghioca and Tucker. After that, we explain the “orbit intersection problem” for linear spaces and semi-abelian varieties. This is joint work with Ghioca. A video of this event is available on...

First we introduce some results about certain simple diophantine equations involving linear recurrence sequences. Then we present 2 applications. The first application involves the so-called Orbit Intersection Problem for the arithmetic dynamics of...

In 1971, Ruzsa conjectured that if f: N→Z with f(n+k)≡f(n) mod k for every n,k∈N and f(n)=O(θn) with θ