This is a pilot study of statin therapy to examine the feasibility of simvastatin use to reduce disease progression in 20 patients with platinum-sensitive ovarian cancer at Cedars-Sinai Medical Center. This study will focus on patients with recurrent platinum sensitive ovarian cancer to increase the likelihood that this population will experience recurrent disease during the 6-month intervention and follow-up. In addition, this population of patients has a narrow range of standard of care carboplatin doublet combinations that are prescribed, enabling the investigators to create a more homogenous study population. Given their high risk of developing recurrent disease, women with platinum sensitive ovarian cancer, have the potential to derive the maximum benefit from an intervention that could delay disease progression and enhance survival.