Step 1

Place pinenuts in a 12-inch skillet and heat over high heat, tossing and stirring frequently until lightly toasted. Transfer to a bowl and set aside.

Step 2

Heat the water in a 12-inch skillet over high heat until boiling and heavily salt it until it tastes like the sea. Add the linguine and cook, stirring occasionally, until al dente, about 8 minutes. Drain, reserving 1 cup of the pasta water, and transfer to a bowl. Toss with 1/2 tablespoon olive oil and set aside.

Step 3

Wipe out the skillet, and heat remaining 1 1/2 tablespoons oil over medium-high heat until shimmering. Add the tomatoes and cook, stirring occasionally, until softened, 2 to 3 minutes. Season with salt and pepper. Push the tomatoes to the side and add the shrimp, seasoning those with salt and pepper on both sides. Cook until pink and opaque, about 4 minutes total, flipping once half way through cooking.

Step 4

Add the pasta back to the pan, stir in the pesto and pine nuts until combined. Add reserved pasta water as necessary, adding a little at a time until it reacjes desired consistency. Season with salt and pepper, transfer to warm serving bowls, top with basil, and serve.