This colorful and spicy fish dish incorporates traditional Thai and Vietnamese ingredients.
Smash 1 garlic clove. Halve 1 chile lengthwise. Cut 1/2 inch off ginger, and grate remaining 1 inch. Mix these with chile paste on cutting board; mince together to form a paste; transfer to a bowl. Stir in fish sauce, lime juice, sugar, and 2 tablespoons water. Thinly slice remaining chiles diagonally; julienne remaining 1/2 inch ginger; add to bowl. Thinly slice remaining garlic; set aside.
Cut fillets in half crosswise. In a large non-stick skillet, heat oil over high heat. Add fillets, skin side down; scatter sliced garlic over fish. Cook until just cooked through and very crisp on the outside, 2 to 3 minutes per side. Transfer to a platter; pour sauce over fish; sprinkle with scallions, carrots, and cilantro.