Cook pasta according to package directions.
While the pasta is cooking…
In a skillet over medium heat, melt the butter and olive oil.
Thinly slice the lemon. Remove any seeds and place lemon slices in the skillet with butter and oil. Lay the lemon in a single layer.
Cook for 2-3 minutes. Flip lemon slices over.
Add white wine and continue cooking until the fruit and juice has come out of the lemon slices. About 4-5 minutes.
Remove and discard the lemon slices. (You will be left with wheels of rind and membrane.)
Add the minced garlic and shrimp.
Toss to coat in the oil mixture and cook for 1-2 minutes.
Add heavy cream, salt, black pepper and cayenne pepper and cooked pasta to the pan with the shrimp.
Toss to coat.
Add Parmesan cheese to the pasta and toss to incorporate.