Bring a large pot of salted water to a boil and cook the pasta to al dente, according to package instructions. Reserve ½ cup of the pasta water, drain pasta, and set aside.
In a large pot, heat the olive oil over medium-high heat. Add the shallots and cook for 2 minutes, stirring occasionally. Add the garlic, thyme and crushed red pepper flakes and cook 1 minute.
Add the pumpkin and broth and whisk until combined. Add the heavy cream. Whisk to combine. Season with salt and pepper.
Add cooked pasta, kale and parmesan cheese. Stir until combined.
Add pasta water as necessary to reach desired consistency.
Serve with extra parmesan, red pepper flakes and a sprinkle of fresh thyme.