Add the butter to a mid-sized non-stick pan and set to medium high heat.
Once hot, add the chopped shallot and garlic and sauté for about 2 minutes.
Stir in the gochujang for about 30 seconds.
Pour in the heavy cream and keep stirring until well integrated. It should be lightly simmering.
Add the parmesan. (Reserve a little to sprinkle over at the end if you want.)
Season to taste with salt and pepper.
Once the parmesan is fully dissolved, add the noodles and stir until they are fully coated.
Distribute to plates or bowls and sprinkle with reserved parmesan and sliced scallions.