Bring a large pot of water to a boil. Season with salt.
Roughly chop enough chilis from the jar of calabrians to equal 1/4 cup.
While the water comes to a boil. Add pine nuts to a large skillet with high sides. Turn the heat on medium-low. Toast the nuts until then become slightly golden and smell nutty. Watch carefully, as they burn easily. Remove from the skillet and set aside.
Turn the heat up to medium. Add three tablespoons of oil from the jar of chilis. When the oil is hot, add the shallots and 1/4 teaspoon salt. Sweat the shallots until they start to soften, about 3-4 minutes. If they start to brown, turn the heat down to medium-low.
Drop the pasta into the boiling water and give it a good stir. Cook until just under aldente, about 2-3 minutes shy of what the box says.
Once you drop the pasta in the water, add the garlic, chopped chilis, and remaining 1/4 teaspoon salt to the shallots and chili oil. Sweat until the garlic has softened, about 1-2 minutes.
Before draining the pasta, reserve 1 cup of the starchy cooking liquid. Transfer the pasta to the skillet with the shallots. Toss to coat the pasta. Add 1/2 cup of the pasta water, toss. Sprinkle the cheese on top and continue to toss until the cheese melts. If needed, add more pasta water. Season to taste with salt and pepper.
Add the pine nuts to the pasta. Toss to combine.