Cook pasta according to package directions but stopping short a minute less than package's cooking time. (Pasta will finish cooking in later step.) Drain pasta, reserving 1/2 cup of pasta water.
While pasta cooks, add bacon to a large skillet and cook until crispy. Turn off the heat, remove the bacon with a slotted spoon and then add the drained pasta to the skillet and toss it in the bacon fat.
Add eggs, salt, pepper, and parmesan cheese to a large bowl and whisk well. Then add mixture slowly to the hot pasta while tossing it to prevent scrambling.
Add peas and 1/4 cup of pasta water, one tablespoon at a time, tossing again to create a silky consistency to the pasta. Top with the bacon before serving.