For the shrimp: toss the shrimp with the olive oil, ginger, and a pinch of salt. Let stand for 10 to 15 minutes or longer in the refrigerator.
For the Pico de Gallo: toss together the papaya, tomatoes, onions, serrano peppers (the more peppers, the more the heat, so act accordingly), cilantro, lime juice, and a pinch of salt. Set aside.
To serve: Heat the grill and grill the shrimp until cooked through, about 2 minutes per side. Simply plate the grilled shrimp with a nice heaping teaspoon of the Pico de Gallo. The tomatoes and the papaya go smashingly well with the heat of the chili and the twang of the ginger. Once again...good stuff.