Bring a medium pot of salted water to a boil. Add the pasta and cook the pappardelle per the package’s instructions (mine recommended about 7 minutes). Reserve about 1 cup of pasta water and set it aside (we’re going to use it later in the sauce). Drain the pasta and set aside.
In a medium saucepan, melt the butter over medium heat. Cook the butter, stirring constantly, until it begins to foam and brown speckles appear. Keep stirring until the foam subsides and the color turns medium brown. Add the shallots and garlic clove and turn down the heat to medium-low. Cook until the shallots have softened, about 1 minute.
Stir in the pumpkin, sprigs of sage, heavy cream, parmesan and 1/2 cup of the reserved pasta water. Season with the pinch of nutmeg, a few turns of cracked black pepper and salt to taste (I needed about 1/2 teaspoon salt). Give it a good stir and taste; adjust any seasoning you like. I ended up adding an additional pinch of nutmeg and some more pepper. Do this too, if you like. Keep the sauce warm over low heat.
To fry up the sage for garnish, add a teaspoon or two of olive oil to a skillet. When the oil is hot, add the sage leaves and cook until fried, about a minute. Drain on paper towels.
Remove the sage leaves from the sauce and discard. To large bowl, add the pasta. Pour in a bit of the sauce and stir until covered. Divide the pasta amongst bowls or plates. Top each mound of pasta with more sauce, because the sauce is good! Garnish with more Parmesan cheese and the fried sage leaves.