Bring a large pot of water to a boil for pasta.
Heat EVOO and butter in large skillet over medium heat. Add mushrooms and thyme, and cook to tender, stirring occasionally, until lightly browned, 10-12 minutes. Season mushrooms with salt and pepper, and add shallots and garlic. Sauté another 4-5 minutes then deglaze the pan with sherry or Marsala. Stir in cream and bring to a bubble then reduce heat to low and simmer. Season with nutmeg. When pasta is just about done, turn off heat and stir in cheese, a couple of handfuls. Cover and reserve.