  The study of embeddings of smooth manifolds into Euclidean and projective
spaces has been for a long time an important area in topology. In this paper we
obtain improvements of classical results on embeddings of smooth manifolds,
focusing on the case of quasitoric manifolds. We give explicit constructions of
equivariant embeddings of a quasitoric manifold described by combinatorial data
$(P,\Lambda)$ into Euclidean and complex projective space. This construction
provides effective bounds on the dimension of the equivariant embedding.
