Prepare pasta according to package instructions. Drain pasta, reserving 1 C cooking water.
While pasta is cooking, melt butter in a large non stick skillet, over medium/high heat and add shrimp. Cook shrimp just 2-3 minutes per side.
In a small bowl stir together chili garlic sauce, brown sugar and soy sauce. Pour sauce over shrimp.
Stir in arugula until wilted.
Add cooked pasta to skillet, stirring well to distribute everything evenly and cook just 2 minutes longer. If pasta seems dry, stir in ¼ C pasta cooking water at a time until desired consistency.
Stir in parmesan cheese and serve.