Bring a large pot of well-salted water to a boil. Cook the pasta according to package directions, drain, and transfer to a large bowl.
Meanwhile, heat the oil in a 12-inch skillet over medium-high heat until shimmering hot. Add the shallot, reduce the heat to medium, and cook, stirring, until golden brown, about 2 minutes. Add the salmon and cook, gently stirring, until opaque, about 2 minutes. Add the garlic and cook, stirring gently, until fragrant, about 20 seconds (the salmon will begin to break up). Add the wine and cook until evaporated, about 30 seconds. Stir in the tomato paste and then the cream and cook until slightly thickened, 3 to 4 minutes. Stir in the capers, 1 Tbs. of the chopped dill, and the lemon zest. Add the pasta and toss to coat.
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