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Preheat your oven to 375°F/190°C, and line a baking sheet with a silicone liner or parchment paper.
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Spread the hazelnuts on the baking sheet, and roast for 7 to 10 minutes, or until lightly browned. Allow the nuts to cool, gently roll in a dish towel to remove the skins, and then roughly chop. Set aside.
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Increase the oven temperature to 400°F/200°C, and place the asparagus on the prepared baking sheet. Drizzle the asparagus with 1 tablespoon of the olive oil, and season with salt and pepper. Toss to coat evenly, then spread the asparagus in a single layer. Roast them for about 8 minutes, or until the asparagus is just tender and lightly browned.
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To make the dressing, whisk together the lemon zest, lemon juice, and the remaining 2 tablespoons of olive oil.
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Throw the arugula into a large bowl, drizzle with half the dressing, and toss until evenly coated. Transfer the arugula to a platter, arrange the asparagus on top, drizzle with the remaining dressing, and top with the chopped hazelnuts.