1. Trim 1/2-inch from the stem and blossom ends of tomatoes. Slice tomatoes 1/4-inch thick. Season tomato slices with 2 teaspoons salt and 1 teaspoon pepper; set aside.

2. In a shallow bowl, whisk together eggs and milk; set aside. In a second shallow bowl, whisk together flour, 1/2-teaspoon salt, and 1/4-teaspoon pepper; set aside.

3. Place panko in a shallow bowl along with cornmeal, remaining teaspoon salt, and 1/2-teaspoon pepper; stir to combine and set aside.

4. Working with one tomato slice at a time, coat tomatoes with flour mixture, shaking off excess. Coat with egg mixture, followed by breadcrumb mixture. Transfer to a wire rack set over a parchment-lined baking sheet; repeat process with remaining slices.

5. Heat 2 cups oil in a 10-inch skillet over medium-high heat until it reaches 350 degrees on a deep-fry thermometer. Working in batches, carefully place tomatoes into the heated oil in a single layer. Fry until golden, turning once, 2 to 3 minutes per side. Drain on a paper towel-lined baking sheet. After frying half of the tomato slices, discard oil and heat remaining 2 cups oil in skillet; continue frying remaining tomato slices. Serve tomatoes immediately with aioli.