Pasta E Ceci Soup

Ingredients

• 3 tbs. plus 1/2 cup extra-virgin olive oil
• 2 carrots, finely diced
• 1 large yellow onion, finely diced
• 1 1/2 tsp. minced garlic
• 1/3 cup diced tomato
• 1 1/4 cups dried chickpeas, soaked in water overnight, drained and rinsed
• 6 cups water
• 2 fresh thyme sprigs
• 1/4 cup vegetable oil
• 3 fresh rosemary sprigs, cut into 1 1/2-inch lengths
• kosher salt, to taste
• 1/2 lb. tubetti pasta, cooked until al dente and drained
• freshly ground pepper, to taste
• shaved parmigiano-reggiano cheese for serving