In certain aspects, the invention relates to methods of treating proliferative cervical disorders (such as cervical cancer and cervical dysplasia) and treating virus infections by administering artemisinin-related compounds. In certain aspects, the invention relates to methods of treating a tumor induced by an oncogenic virus, methods of killing or inhibiting a squamous cell carcinoma, and methods of inhibiting the replication of a virus, by administering artemisinin-related compounds.