Put the cauliflower, beans, milk, butter and rosemary in a large saucepan. Bring to a simmer, cover, reduce the heat to medium-low and cook until the cauliflower is fork tender, about 15 minutes. Uncover and continue cooking until the cauliflower is soft, but not mushy, about 10 minutes. Mash with a potato masher, then stir in the grated Parmesan. Season with 1 teaspoon salt and a couple turns of pepper. Serve sprinkled with the shaved Parmesan and topped with a fresh rosemary sprig.
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