She recently posted a nude picture of herself in the arms of boyfriend Taylor Kinney.But Lady Gaga was much more covered up to go shopping on Madison Ave in New York yesterday.Despite the sweltering Manhattan temperatures, the 26-year-old pop star began her day at the boutiques in a bright purple coat.In an outfit more appropriate for the winter months, she paired the jacket with some heavy opaque black tights and her obligatory sky-high heels in the form of platform patent leather Mary-Jane’s.Gaga wore a matching dress and toted a leather handbag in the same hue, as well as a shopping bag full of other Giorgio Armani goodies.The heavy outfits were not only an unusual choice for the current weather conditions, but were uncharacteristically covered-up for the star, who is known for her penchant of flashing the flesh.This is certainly indicative of a recent picture she posted on her website, where she is seen wearing absolutely nothing. Daily Mail