Place the salmon filets on a baking sheet, brush lightly with olive oil, and sprinkle with salt and pepper. Add the zest of one lemon and slices of lemon on top of the salmon. Bake for 15-20 minutes.
While the salmon is baking, get the pasta water boiling. Cook the pasta according to the directions on the package. Drain and reserve, saving some pasta water for later.
In a small bowl, whisk together shallot, garlic, olive oil, balsamic vinegar, zest and juice of 1 lemon and a pinch of salt and pepper. Add to a large skillet and heat over medium heat until the garlic is fragrant and the shallot is translucent.
Add the tomatoes and cook 2-3 minutes. Add the cooked pasta and some of the reserved pasta water to the skillet.
Toss the pasta in the sauce and transfer to a serving bowl. Add the spinach.
Portion out the salmon so that each person gets a serving.
Serve the salmon on top of the pasta along with Parmesan cheese shavings.
This National Pasta Month rigatoni and salmon recipe is from our friends over at Live Love Pasta.