This is a double blind, active comparator; single-center study involving up to 90 subjects with qualifying CIS or RMS. Subjects who are not screen-failures must be randomized within 60 days of signing the informed consent document. Subjects who are not randomized within these 60 days must be re-screened for enrollment into the study. Patients will be stratified based on their diagnosis of CIS or RMS (Relapsing Remitting or Secondary Progressive) and then randomly assigned at a 1:1 ratio to either rituximab induction followed by standard GA therapy (R-GA arm), or placebo induction followed by standard GA therapy (GA arm). Subjects will receive an intravenous (IV) infusion of 1000 mg of rituximab or placebo (normal saline) on study days 1 (baseline visit) and 15 according to the rituximab infusion protocol (Appendix C). On study day 28, all subjects will initiate standard GA therapy, 20 mg injected subcutaneously daily.