Place the cream, espresso, and brandy in a microwave-safe bowl and stir to combine. Microwave on high power for 1 minute. Set aside.
Place the sugar, corn syrup, and ¼ cup water in a heavy, medium-size saucepan and bring to a simmer over medium-high heat, stirring, until the sugar dissolves. Once the sugar is dissolved, cook the caramel without stirring until i