In a medium saucepan, melt the butter over medium-low heat. Add the garlic and cook, turning occasionally, until the garlic caramelizes, 6 to 7 minutes. Remove from the heat. When the garlic is cool enough to handle, chop and return to the pan. Add the cream and warm over medium heat.

Meanwhile, in a medium saucepan, combine the potatoes, 1 teaspoon of salt, and enough water to cover by 1 inch. Bring to a boil and cook until just fork tender, about 12 minutes. Remove from the heat and drain. Return to the pan and cook for 1 minute, mashing with a heavy whisk, over medium heat. Add the hot garlic-cream mixture, and mash until smooth. Season with the remaining 1/4 teaspoon of salt and the white pepper, mixing well. Cover to keep warm until ready to serve.