Kay Magaard and Pham Huu Tiep Wayne State University University of Florida Title: Irreducible tensor products of representations of finite quasi-simple groups of Lie type Abstract: {Let $G$ be a finite quasi-simple group of Lie type defined over a field of characteristic $p$. We determine whether $G$ can possess irreducible Brauer characters $\alpha$, $\beta$ (of degree $> 1$) in characteristic other than $p$ such that $\alpha \otimes \beta$ is irreducible.} To appear in the Proceedings of the Virginia Symposium on Representations of Finite Groups.