A quick weeknight dinner. You can let the mushrooms stand while you are preparing your chicken. From Bon Appetit magazine. Adjusted slightly for my taste. The 20 to 30 minutes standing time for the mushrooms is not included in prep and cooking time.
Toss the first 5 ingredients in a medium bowl. Season generously with salt and pepper to taste. Let it stand at room temperature, tossing often, until the mushrooms soften, about 20 to 30 minutes.
Meanwhile, preheat the oven to 500 degrees. Line a rimmed baking sheet with foil; set a wire rack inside. Season the chicken with salt and pepper to suit your taste; place on the rack. Spread mayonnaise on the chicken and sprinkle with cheese.
Bake for 5 minutes. Turn on the broiler. Broil until the chicken is cooked through and the cheese is golden brown, about 5 minutes. Serve with the mushroom salad.