Measuring the W Boson Mass with CDF in Run IIa ---------------------------------------------- Oliver Stelzer-Chilton (University of Toronto) The mass of the W boson is a fundamental parameter of the Standard Model. Through radiative corrections, the mass of the top quark and the W mass are connected to the mass of the Higgs boson, the last missing particle of the Standard Model. As the Higgs boson has not yet been observed experimentally, more precise measurements of the W mass and the top quark mass will further constrain the mass of the Higgs boson. At the Collider Detector at Fermilab (CDF) the W mass can be obtained from a binned maximum likelihood fit to the transverse mass spectrum. Over the last three years CDF has accumulated a high statistics dataset of leptonic W boson decays and we expect an even larger dataset to be collected by the end of this year. Since most of the systematic uncertainties involved scale with available data statistics, a substantial increase in precision on the measured mass can be achieved. This talk will present current studies on systematic uncertainties on the W mass in the muon decay channel and prospects for an improved measurement in Run IIa.