Pat shrimp with paper towels to ensure they're as dry as possible. Sprinkle 1 ½ tablespoon corn starch, salt, and pepper over the shrimp and toss to coat.
Heat cooking oil in a large skillet or wok over medium-high heat. Once oil is hot, add shrimp in a single layer (you can work in batches if necessary) and cook for about 1-2 minutes on each side or until pink and cooked through. Remove shrimp from the skillet to a plate or bowl and set aside.
In the same skillet, add minced garlic and ginger and sauté for about 30 seconds until fragrant.
Add chicken or vegetable broth, soy sauce, sugar, rice vinegar, hoisin sauce, and chopped chili peppers or chili paste. Stir and bring the mixture to a simmer.
Make a cornstarch slurry by combining the remaining teaspoon corn starch and 1 tablespoon water in a small bowl and mixing to combine. Add slurry to sauce and stir continuously while sauce simmers for another 1-2 minutes until it thickens to a consistency that can coat the back of a spoon.
Add cooked shrimp back to the skille and sir to coat the shrimp in the sauce and warm them. Drizzle with sesame oil and toss to combine again.
Serve over white rice, brown rice or whatever you choose. Garnish with sesame seeds and chopped scallions.