Use all manner of kale, chard or other hearty greens in this filling cold weather soup. Look for Parmigiano Reggiano rinds, ideal for flavoring soups and stews, in the specialty cheese department.
Heat oil in a large pot over medium heat. Add garlic, onion, bay leaf, salt and pepper and cook, stirring often, until golden brown, about 15 minutes. Add tomatoes and cook until most of the liquid is released and absorbed, about 5 minutes more. Add carrots and 8 cups water and bring to a boil, scraping up any browned bits from the bottom of the pot.
Stir in chard, escarole, pasta and Parmigiano-Reggiano rind. Reduce heat, cover and simmer until broth is flavorful and greens and pasta are tender, about 15 minutes. Stir in spinach and season with salt and pepper.
Remove and discard bay leaf and cheese rind from soup then ladle into bowls, garnish with grated cheese and serve.