Prep Time: 30 min.
Turn on broiler to preheat.
Boil water and milk or cream, then slowly whisk in polenta, cover, and reduce heat to a simmer. add a dash of salt and pepper. Continue to stir regularly to avoid clumping. Cook for about 18 minutes then remove from heat.
Cut eggplant and fennel into spears, then toss with olive oil, salt, pepper, and oregano. Place on a baking sheet and place on the top rack of your broiler, as close to the heat as possible. You want a nice char to develop, creating a hint of sweetness to the fennel and saving the eggplant from becoming mush. Broil for 3 minutes, flip the vegetables, and broil for another 3 minutes.
Use a vegetable peeler to peel lemon. Finely chop the lemon peels, then toss with the chopped parsley and garlic.Top a bowl of polenta with the broiled vegetables, then sprinkle some of the parsley mixture on top. Add a poached egg or grate some SarVecchio over top, if desired.