If you'd like a thicker compote, you can add a little cornstarch. To do this, place 1 tablespoon of cornstarch in a small bowl and mix with 2 tablespoons of cold water to make a cornstarch slurry. Stir until the mixture is smooth, then add the cornstarch mixture to the compote while on the stove, stirring constantly. The result is a thick strawberry compote.