01 - Preheat the oven to 325°F.
02 - Season the short ribs thoroughly with salt and pepper on all sides.
03 - Heat olive oil in a large Dutch oven over medium-high heat. Sear short ribs on all sides until deeply browned, about 3-4 minutes per side. Transfer to a plate.
04 - Add onion, carrots, and celery to the pot. Sauté until softened and lightly golden, about 5 minutes.
05 - Stir in garlic and tomato paste; cook for 1 minute until fragrant and paste darkens slightly.
06 - Pour in red wine, scraping up any browned bits from the bottom of the pot. Simmer for 3 minutes until slightly reduced.
07 - Add beef broth, crushed tomatoes, thyme, rosemary, and bay leaves. Return short ribs to the pot, ensuring they are mostly submerged in liquid.
08 - Cover tightly with lid and transfer to the oven. Braise for 2½ to 3 hours, until meat is fork-tender and pulls away from the bone easily.
09 - When ribs are nearly done, bring water and salt to a boil in a saucepan. Gradually whisk in cornmeal in a steady stream to prevent lumps.
10 - Reduce heat to low and cook, stirring frequently, for 20-25 minutes until thickened and cornmeal is tender.
11 - Stir in milk, butter, and Parmesan cheese. Cook for 2-3 minutes more until smooth, creamy, and thoroughly incorporated.
12 - Remove short ribs from the oven. Discard herb sprigs and bay leaves. Skim excess fat from the sauce surface.
13 - Spoon creamy polenta into shallow bowls. Top with braised short ribs and spoon generous amounts of sauce over the meat.