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Fill a medium sized pot with water.
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Place potatoes into the pot, salt the water, and then turn heat to high, bringing water to a boil.
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Turn down to a simmer and simmer potatoes for 25-30 minutes.
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While the potatoes are simmering, place the butter into a small saucepan.
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Melt the butter over medium heat, stirring while first it foams, then becomes clear, then begins to turn brown, about 5-10 minutes.
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(*Beware-the time between brown butter and burnt butter is very short. You really should watch this whole process)
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Remove brown butter from heat and then set aside.
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When potatoes are fork tender, drain and place them in the bowl of a stand mixer.
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(If you are going to peel the potatoes, do it before putting them into the bowl of the stand mixer, but trust me, you don't need to!)
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Add the sour cream, salt and a pinch of pepper to the stand mixer and then mix until chunky.
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Add the brown butter and then continue to mix until desired consistency (they will never become completely smooth with this method-don't try).
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Season with additional salt and pepper as needed.
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Remove from stand mixer and serve warm.
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Garnish with Italian parsley if desired.