Best Shepherd's Pie

Name: Best Shepherd's Pie
Prep time: 20 min
Total time: 20 min
Cuisine: American
Ingredients: 2 lb. russet potatoes, peeled, sliced 1/2" thick; Kosher salt; 2/3 c. half-and-half; 4 tbsp. unsalted butter; 2 tbsp. chopped fresh parsley, divided; Freshly ground black pepper; 1 tbsp. canola oil; 2 lb. lean ground beef; 1 medium yellow onion, chopped; 2 medium carrots, peeled, chopped; 3 cloves garlic, chopped; 2 tsp. chopped fresh rosemary; 2 tsp. chopped fresh thyme; 3 tbsp. tomato paste; 1/2 c. dry red wine, such as Cabernet Sauvignon; 1 c. low-sodium beef broth; 3 tbsp. Worcestershire sauce; Cooking spray; 3 tbsp. all-purpose flour; 1 c. frozen corn; 1 c. frozen peas; 3 tbsp. grated Parmesan