Bring a large pot of water to a boil over high heat for the pasta. Add salt and the pasta and cook al dente, reserving 12 cup of the starchy pasta water.
In a large skillet, heat the EVOO, twice around the pan, over medium heat. Add the shallots and garlic to the pan and saute for 3 minutes. Stir in the chicken stock, pumpkin, and cream, then season the sauce with the hot sauce, nutmeg, cinnamon, salt, and pepper. Reduce the heat to medium-low and simmer for 5 to 6 minutes longer to thicken. Add a little of the reserved pasta water if needed to thin out the sauce a bit. Stir in the sage, then toss in the drained pasta and grated cheese.