Aioli

1. Combine mayonnaise, red peppers and garlic in a processor or blender. Process until well combined and fairly smooth, scraping down sides of the processor halfway through. Transfer to a small bowl. Refrigerate until serving.

Tomatoes

1. Core tomatoes and cut a thin slice from the top and bottom of each and discard. Cut each tomato into three or four 1/4-inch-thick slices and dry on paper towels. Sprinkle with 1/8 teaspoon of the salt.
2. Combine flour and 1/8 teaspoon of the salt in a shallow dish. Lightly beat eggs in a second shallow dish. Whisk together cornmeal, Parmesan, remaining 1/4 teaspoon salt, the black pepper and cayenne in a third shallow dish.
3. Coat 1/3 of the tomato slices in the seasoned flour, followed by egg, then cornmeal mixture.
4. Heat oven to 200 degrees F.
5. Heat 2 tablespoons of the oil in a large nonstick skillet over medium-high heat. Add the coated tomato slices and saute for 2 minutes. Carefully turn over the slices and saute an additional 2 minutes. Transfer to a baking sheet fitted with a wire rack and keep warm in the oven.
6. Repeat, coating 1/3 of the tomato slices with seasoned flour, egg and cornmeal mixture. Add 2 more tablespoons of the oil to skillet and saute as directed above. Repeat with the last batch of tomatoes and oil. Serve tomatoes warm with the aioli on the side.