Satisfy porky cravings with this tender, cider-glazed roast from chef Andrew Carmellini. Also try:Oven-Roasted Vegetables with Apples, Dried Cranberries, and Pumpkin Seeds
Fill a large pot with 2 quarts water; add 1 1/2 cups salt and sugar. Bring to a boil over high heat and cook until salt and sugar are dissolved. Remove from heat and let brine cool completely.
Place pork in a large container and cover with brine. Transfer to refrigerator and let marinate for 45 minutes. Remove pork from brine and pat dry with paper towels.
Preheat oven to 425 degrees with rack in the center. Fit a roasting pan with a rack and set aside.
Season pork with remaining 1 teaspoon salt and 3/4 teaspoon freshly ground pepper. Place pork on rack and transfer to oven; cook until an instant-read thermometer reaches 130 degrees when inserted into the thickest part of the pork, about 45 minutes.
Meanwhile, place cider in a medium saucepan over medium-high heat until reduced and turns into a dark golden-brown loose syrup, about 20 minutes. Remove from heat and add vinegar; stir to combine. Pour glaze into a small bowl and transfer to refrigerator; let cool.
In a small bowl, mix together paprika, cumin, remaining 1/2 teaspoon black pepper, and chile powder; set spice mixture aside.
Brush half of the glaze over pork and return to oven for 2 minutes more. Remove from oven and let stand for 15 minutes; brush with remaining glaze and sprinkle with spice mixture.
Cut the pork rack into chops by cutting between each set of bones; transfer chops to a large platter. If any glaze remains, add juices from pork to glaze and stir to combine; pour over chops and serve immediately.