Cook pasta in large pot of lightly salted boiling water until al dente, firm but tender, about 12 minutes. Add the green beans to the boiling water for the last 6 minutes of cooking; beans should be crisp-tender and not limp.
Meanwhile, heat the oil in a large skillet over medium heat. Add the sweet red pepper, onion and garlic; saute for 5 to 6 minutes. Stir in the shrimp; saute 2 minutes. Add the wine, salt, black pepper and red pepper flakes. Cook, stirring, until the shrimp are opaque, about 1 to 2 minutes more. Be careful not to overcook the shrimp.
Whisk together the chicken broth and cornstarch in a small bowl until well blended and smooth. Stir the cornstarch mixture into the skillet. Bring to boiling; cook for 1 minute. Stir in the parsley.
Drain the pasta and green beans in a colander; turn the pasta into a large bowl. Add the shrimp mixture; toss until well combined. Sprinkle with the grated Parmesan. Serve immediately.