As the former global head of purchasing for Christian Louboutin, Alexandra Rose has an eye for stilettos — and penthouses.

Now she has put her own stylish penthouse on the market for $2.75 million. The 1,708-square-foot home, at 440 Atlantic Ave. in Boerum Hill, features three bedrooms, two bathrooms and a private roof terrace.

The property features an open chef’s kitchen and a dining/living space, exposed steel frames, wide-plank oak-stained hardwood floors and corner bedroom master suite with views from the Statue of Liberty to the Verrazzano-Narrows Bridge.

The landscaped roof deck boasts a pergola, built-in planters and automatic irrigation.

There’s also in-wall sound including weatherproof speakers on the roof deck.

The listing brokers are Erin Boisson Aries and Nicola Bottero of Christie’s International Real Estate.