Preheat the oven to 375˚. In a medium mixing bowl, thoroughly combine the cream cheese, mayo, green chiles, jalapeños, and shredded cheese. Spoon into a baking dish (the one pictured is about 5x5, but I've also used shallower, slightly larger dishes too).
Combine the bread crumbs and Parmesan cheese and sprinkle over the cream cheese mixture. Bake for 30 minutes or until the topping is golden brown. Serve warm with pita chips, cut veggies, or crackers.
(adapted from Annie's Eats)