1. Place an oven rack in the center of the oven, then preheat to 450degreesF. Heat a large pot of salted water to boiling on high. Wash and dry the fresh produce. Cut off and discard the bottom 1/2 inch of the broccoli stem; cut the broccoli into small pieces. Place on a sheet pan. Drizzle with olive oil and season with salt, pepper, and up to half the Italian seasoning (you will have extra); toss to coat. Arrange in an even layer. Roast 22 to 24 minutes, or until browned and tender when pierced with a fork. Remove from the oven.

2. While the broccoli roasts, peel and roughly chop the garlic. Using the flat side of your knife, smash the olives; remove and discard the pits, then roughly chop. Grate the cheese on the small side of a box grater.

3. While the broccoli continues to roast, add the pasta to the pot of boiling water and cook 8 to 10 minutes, or until al dente (still slightly firm to the bite). Turn off the heat. Reserving 1/2 cup of the pasta cooking water, drain thoroughly and return to the pot.

4. While the pasta cooks, in a medium pan, heat 2 teaspoons of olive oil on medium-high until hot. Add the chopped garlic, capers, and as much of the red pepper flakes as you'd like, depending on how spicy you'd like the dish to be; season with salt and pepper. Cook, stirring constantly, 30 seconds to 1 minute, or until fragrant. Add the tomatoes and chopped olives; season with salt and pepper. Cook, stirring occasionally and gently crushing the tomatoes with the back of a spoon, 6 to 7 minutes, or until thickened. Turn off the heat and season with salt and pepper to taste.

5. To the pot of cooked pasta, add the roasted broccoli, sauce, butter, half the grated cheese, and half the reserved pasta cooking water; season with salt and pepper. Cook on medium-high, stirring vigorously, 1 to 2 minutes, or until the pasta is thoroughly coated. (If the sauce seems dry, gradually add the remaining pasta cooking water to achieve your desired consistency.) Turn off the heat and season with salt and pepper to taste. Garnish the finished pasta with the remaining grated cheese. Enjoy!