Measurements of the neutron skin of $^{208}$Pb from parity violating electron scattering

We present the results for the thickness of the neutron skin of $^{208}$Pb from parity violating scattering asymmetry measurements using the Jefferson Lab polarized electron beam in experimental Hall A. Through parity violating elastic e-$^{208}$Pb reactions, the extraction of neutron distributions can be performed with relatively few theoretical uncertainties when compared to hadronic scattering techniques, providing clean access to previously poorly constrained parameters. A measurement of the $^{208}$Pb neutron skin provides insight into topics spanning the structure and symmetry energy of neutron rich nuclei and dense nuclear matter, and the equations of state for neutron stars. This talk will present the parity violating asymmetry and associated neutron skin thickness of $^{208}$Pb as well as planned measurements for improved precision and the prospects for $^{48}$Ca.