Squash, Sage, and Ricotta Cannelloni

Preheat oven to 350 degrees. Lightly oil a 2-quart or 8-inch square baking dish. In a large pot of boiling salted water, cook pasta until al dente. Using tongs, transfer pasta to a lightly oiled rimmed baking sheet. Add squash to boiling water and cook until tender, about 10 minutes. Drain squash and transfer to a bowl.

In a small skillet, heat 1 tablespoon oil over medium. Add shallots, season with salt and pepper, and cook until soft, about 5 minutes. Transfer to bowl with squash and add 2 tablespoons milk, chopped sage, and nutmeg; season with salt and pepper. Mash with a fork until a rough puree forms.

Spread 1/4 cup squash mixture crosswise down the middle of each lasagna noodle; roll up noodle and place, seam side down, in baking dish. In a bowl, combine ricotta, 1/2 cup Parmesan, and 1/4 cup milk and season with salt and pepper. Spread ricotta mixture over cannelloni and top with cup Parmesan. Bake until warmed through, about 25 minutes. Broil until top is browned, 2 to 3 minutes.

Meanwhile, in a small skillet, heat 2 tablespoons oil over medium-high. Fry whole sage leaves until crispy, 15 to 20 seconds. Drain on paper towels. Serve cannelloni topped with fried sage.