Preheat oven to 400º and prepare chicken. In small saucepan, heat 1 tablespoon olive oil and add 2 tablespoons red curry paste, cook for a minute or two to soften, cool slightly. Pat chicken thighs dry and season with salt and pepper. Rub curry mixture all over chicken and under skin.
Heat large cast iron skillet or other oven proof pan over medium high heat with a drizzle of olive oil. Cook and sear chicken thighs starting with skin side down until lightly browned, being careful not to burn, about 3 to 5 minutes per side. Transfer to oven, skin side up and bake for 30 to 35 minutes until done.
Meanwhile, make sweet potatoes. Heat remaining tablespoon of oil in medium sauce pan. Add ¼ cup red curry paste and brown sugar. Stir and caramelize for a couple minutes. Whisk in coconut milk until smooth, add sweet potatoes and simmer until tender, about 15-20 minutes. Stir in chopped cilantro, lime juice and zest. Taste for seasonings.
When chicken is done, garnish with more chopped cilantro and a squeeze of lime. Serve with curried sweet potatoes. Enjoy!