Quinoa Cakes with Poached Eggs

cooked quinoa, at room temperature

large eggs, beaten

coarse salt

minced fresh chives, plus more for garnish

large shallots, finely chopped

grated Parmesan cheese

garlic, minced

whole grain bread crumbs, plus more if needed

Olive oil, for frying patties

(for serving) Shaved Parmesan

(for serving) 6 poached eggs (one for each patty)

(for serving) Salt and pepper