Preheat the oven to 350° and grease an 8x8 pan.
In a large, microwave-safe bowl, combine the butter and chocolate chips, and microwave at 30-second intervals, stirring after every 30 seconds, until the chocolate chips have melted. Let cool slightly, then stir in the sugar.
Stir in the eggs, one at a time, beating well after each egg. Stir in the vanilla extract.
In a small bowl, whisk together the cornstarch, cocoa powder and salt. Add the cornstarch mixture to the brownie batter, and stir for 1-2 minutes, until well-combined.
Pour the brownie batter into the greased pan, and bake at 350° for 35-40 minutes, until a tester comes out with a few crumbs attached.
Let the brownies cool completely before serving.