01 -  Bring a large pot of salted water to a boil. Cook pasta according to package directions until al dente. Reserve 1/2 cup pasta water, then drain. 
 02 -  While pasta cooks, heat olive oil and 2 tablespoons butter in a large skillet over medium-high heat. Add mushrooms and sauté until golden brown and liquid has evaporated, about 7 to 8 minutes. Season with salt and pepper. Remove mushrooms from skillet and set aside. 
 03 -  In the same skillet, melt 1/3 cup butter over medium heat. Cook, swirling occasionally, until butter foams and turns deep golden brown with a nutty aroma, about 3 to 4 minutes. 
 04 -  Add garlic, shallot, thyme, and sage to brown butter. Fry gently for 1 minute until aromatic. 
 05 -  Pour in white wine if using, and simmer for 1 to 2 minutes until reduced slightly. 
 06 -  Return mushrooms to skillet. Toss to coat in brown butter sauce. 
 07 -  Add cooked pasta and a splash of reserved pasta water to skillet. Toss well to combine, adding more pasta water as needed for a silky sauce. 
 08 -  Remove from heat. Stir in half the parmesan and parsley. Adjust seasoning with salt, pepper, and lemon zest. 
 09 -  Serve immediately, garnished with the remaining parmesan and parsley.