Backward Orbit Conjecture for Latt\'es Maps
  For a Latt\`es map $\phi:\mathbb P^1 \to \mathbb P^1$ defined over a number field $K$, we prove a conjecture on the integrality of points in the backward orbit of $P\in \mathbb P^1(\overline K)$ under $\phi$. 
Vijay A. Sookdeo
math.NT