Celebrate Spring With a Veggie-Forward Carbonara

uncooked whole-wheat linguine

center-cut bacon slices, chopped

finely chopped asparagus

garlic clove, thinly sliced

large egg yolks

kosher salt

black pepper

Parmesan cheese, finely grated (about 2/3 cup), divided

extra-virgin olive oil

frozen green peas, thawed