Arrange a rack in the middle of the oven. Preheat broiler.
Arrange tomatoes on a rack set over a baking sheet to allow the air to circulate around. Drizzle with EVOO and season with salt and pepper.
In a small bowl, combine breadcrumbs and cheese. Top tomato slices with breadcrumb mixture.
Broil the tomatoes until golden brown, about 4-5 minutes.