Savory Sourdough Bread Pudding

Name: Savory Sourdough Bread Pudding
Ingredients: 1 16- oz loaf of sourdough country-style bread; 1/4 cup olive oil; 3 teaspoons dried thyme; 3 large garlic cloves (minced); 6 tablespoons butter; 1 lb assorted fresh mushrooms; 1 1/2 cups finely sliced leeks; 1 1/2 cups thinly sliced celery; 1 cup finely chopped green bell pepper; 1/3 cup chopped fresh parsley; 6 oz smoked chicken and apple sausage (diced in 1/4 inch pieces); 3 1/2 cups heavy cream; 8 large eggs; 2 teaspoons salt; 1 teaspoon freshly ground black pepper; 1/3 cup grated Parmesan cheese