Heat up 4 tablespoons of olive oil in a pan over medium-low heat. Add in garlic cloves and cook for about 5 minutes until lightly colored on each side. Smash them around a little while cooking. This is going to really flavor the oil without overpowering it. Remove garlic and add remaining 2 tablespoons of oil.
Once the water is boiling, add in the pasta and cook to "Al Dente" according to package instructions.
While our pasta is boiling away, add the eggs into our garlic infused oil, still over medium-low heat. Cook until the whites are set but the yolks are still runny. Turn off the heat.
Drain the pasta and add to the pan. Toss the pasta with the eggs, breaking up the yolks. The eggs will finish cooking from the heat of the pasta.
Add in ¼ cup parmesan and stir to combine. Season with salt and pepper to taste.