This study will examine the effects of atorvastatin, a statin (drug that lowers cholesterol) on the human immunodeficiency virus (HIV). If not treated, HIV infection causes an incurable, progressive deficiency in the immune system that leads to death, usually from disease that takes advantage of weakened immunity. However, previous studies have suggested that if the amount of cholesterol in infected cells is reduced, multiplication of HIV is also reduced. In this study, researchers will examine the HIV viral loads, that is, amount of the virus in the blood. They will evaluate the composition of the strain of the virus that patients carry (HIV genotype), response of the immune system to the virus, and how genes may determine the way in which the drug may or may not work against the strain of virus. Researchers plan to enroll 22 participants, anticipating a study to last 30 weeks for each participant.