Tomato Galette With Parmesan Whole Wheat Crust

Name: Tomato Galette With Parmesan Whole Wheat Crust
Ingredients: 1 cup ( 135 g ) whole wheat flour; 1 cup ( 120 g ) all-purpose flour; 1/3 cup ( 50 g ) coarse cornmeal; 1/4 cup ( 20 g ) shredded Parmesan; 3/4 teaspoon salt; 8 ounces ( 2 sticks ) cold unsalted butter , cut into cubes; 1/2 cup ice water , more as needed; 4 cups (about 1 3/4 pounds ) cherry tomatoes , halved; Kosher salt (for the tomatoes); 1/2 cup ( 40 g ) shredded Parmesan; 2 tablespoons chopped fresh thyme leaves; 1 large egg , well beaten with 1 tablespoon water; 1 tablespoon chopped parsley , to garnish