Combine all of the ingredients for the marinade in a small bowl, and stir to mix. Pour marinade into a heavy resealable bag. Add chicken breasts to the ziplock bag, and and zip shut. Move chicken around in bag until all of the chicken breasts are evenly coated in the marinade. Refrigerate chicken in ziplock bag for at least 1-2 hours, or overnight for best results. (Don't marinate for longer than 24 hours).
When ready to grill chicken, remove chicken from ziplock bag, and discard leftover marinade. Cook chicken on an outdoor grill, (or on a grill pan or non-stick skillet) over medium high heat until chicken is fully cooked, and no longer pink in the middle (takes about 10-15 minutes). Immediately after removing the chicken from the grill, sprinkle parmesan cheese evenly over cooked chicken breasts, (it will melt onto the chicken, making for a slightly sweet, slightly salty sauce coating the grilled chicken! YUM!) Enjoy warm!