Place the potatoes in a large pot of generously salted cold water. Bring to a boil and cook for 10 minutes, until just fork-tender but still holding their shape. Drain, return the potatoes to the pot, and shake firmly to rough up the edges — those ragged bits are what make the potatoes extra crispy.
2 pounds Yukon Gold potatoes
Preheat the oven to 450 degrees Fahrenheit (230°C). Pour the olive oil onto a large rimmed baking sheet and heat in the oven for 5 minutes until shimmering. Add the potatoes, toss to coat in the hot oil, and season with kosher salt. Roast for 25 minutes, flipping once halfway through, until deep golden and beginning to crisp. Use this time to make both sauces.
2 pounds Yukon Gold potatoes, 3 tablespoons olive oil, 1 1/2 teaspoons kosher salt
Whisk together the mayonnaise, grated garlic, lemon juice, Dijon, smoked paprika, and salt until smooth. Refrigerate until ready to plate.
3/4 cup good quality mayonnaise, 3 garlic cloves, 1 tablespoon fresh lemon juice, 1/2 teaspoon Dijon mustard, 1/4 teaspoon smoked paprika, 1/4 teaspoon kosher salt
Heat the olive oil in a small saucepan over medium heat. Add the garlic and cook for 1 to 2 minutes until fragrant. Add the smoked paprika, cayenne, and cumin and stir for 30 seconds to bloom the spices — the oil will turn a deep rust color. Add the crushed tomatoes, sherry vinegar, sugar, and salt. Simmer for 12 minutes, stirring occasionally, until thick and glossy. Keep warm on low.
3 tablespoons olive oil, 4 garlic cloves, 3 teaspoons smoked paprika, 1/4 teaspoon cayenne pepper, 1/2 teaspoon ground cumin, 3/4 cup crushed tomatoes, 1 1/2 tablespoons sherry vinegar, 1/2 teaspoon sugar, 1/2 teaspoon kosher salt
Pat the salmon fillets dry. Drizzle with olive oil and season all over with salt, pepper, and smoked paprika.
4 skinless salmon fillets, 1 tablespoon olive oil, 1 teaspoon kosher salt, 1/2 teaspoon black pepper, 1/4 teaspoon smoked paprika
Pull the potato tray from the oven at the 25-minute mark. Push the potatoes apart to make four gaps and nestle the salmon snugly among them. Return to the oven for 10 to 12 minutes, until just cooked through with a slight blush at the center. Switch to broil for the final 2 to 3 minutes to caramelize the top — keep a close eye on it, as it can burn quickly.
Dust the hot potatoes with flaky salt and smoked paprika. Spoon the bravas sauce generously across the base of a large serving platter, then lift the potatoes and salmon on top. Spoon more bravas over everything, swoop the aioli across in loose strokes, and scatter the parsley and chives. Finish with a drizzle of extra virgin olive oil and lemon wedges tucked around the edges. Serve immediately.
1/2 teaspoon flaky sea salt, 1/4 teaspoon smoked paprika, 3 tablespoons flat-leaf parsley, 2 tablespoons chives, 2 lemons