We say that an embedding $\Gamma$ of a graph $\gamma$ in a 3-manifold M is achiral if there is an orientation reversing homeomorphism of $(M,\Gamma)$. If a graph $\gamma$ has no such embedding in M we say $\gamma$ is intrinsically chiral in M.

We prove that for any closed, connected, orientable, irreducible 3-manifold M, there is an integer $n_M$ such that every 3-connected graph $\gamma$ with $genus(\gamma) > n_M$ and no involution is intrinsically chiral in M. On the other hand, we prove that every graph has achiral embeddings in infinitely many closed, connected, orientable, irreducible 3-manifolds. Speaker(s): Erica Flapan (Pomona College)