Boil salted water in a large pot
Add pasta and cook until al dente
Reserve some pasta water
Melt butter in a skillet over medium heat
Add minced garlic and cook briefly
Pour in heavy cream
Simmer gently
Add grated Parmesan cheese
Stir until the sauce is smooth
Season with salt and black pepper
Add cooked pasta to the sauce
Toss to coat evenly
Add reserved pasta water if needed
Serve immediately