Start bringing a large pot of salted water to boil to cook the pasta in.
In a large skillet, melt the butter and stir in the lemon zest, cooking a minute until sizzlings. Add the white wine, lemon juice and salt, stirring. Bring to a simmer, cover, and cook a few minutes.
Uncover the pan and slowly pour in the cream, whisking it into the sauce. Cook 2-3 minute, stirring, until it's a consistency you like.
Turn the heat down to low on the sauce and start cooking your pasta.
When it's just done, lift the pasta out of the water with tongs and place into the simmering sauce. (Bring back to a simmer if it's stopped.) Toss the pasta until it's coated. Add some of the pasta water if needed.
Turn off the heat, stir in the Parmesan cheese and add a drizzle of olive oil.
Serve more cheese and oil at the table if you'd like.