Step 1

Heat a large Dutch oven or pot over medium heat. Add the olive oil and ham. Cook, stirring occasionally, until the ham pieces are golden brown, 8 to 10 minutes. Increase the heat to medium-high; add the onion, carrot, and celery, and continue to cook until the vegetables are slightly softened, about 5 more minutes. Add the garlic and cook 1 more minute.

Step 2

Meanwhile, place the split peas in a colander. Rinse them well and pick through and discard any tiny pebbles or debris.

Step 3

Add the peas, chicken stock, dried thyme, and bay leaf, if using. Bring to a simmer, then reduce the heat to medium-low and cook, uncovered, stirring occasionally, for 1 hour and 30 minutes until the peas "split" open in the pot and are very tender. (If the pot stops simmering during cooking, increase the heat to medium until it returns to a simmer, then reduce the heat back to medium-low). Add 1/2 to 1 cup of water to reach desired consistency.

Step 4

Season with the salt and black pepper. Serve topped with chopped parsley, if preferred.