1. Combine curing salt, kosher salt, and sugar, coat cheeks evenly and rub in.
2. Transfer rubbed cheeks to a vacuum bag.
3. Combine pepper, mustard, coriander, allspice, cloves, and bay leaf and add to the vacuum bag, distributing evenly around beef cheek.
4. Vacuum-seal the bag, place in refrigerator and cure 24-48 hours.
5. Heat immersion circulator to water to 150 F (65 C). Add the cured cheeks and cook for 18 hours. Raise the temperature to 180 F (82 C) and cook for an additional 6 hours.
1. Melt butter with caraway seeds and infuse for 20 minutes. Strain, keep the butter, discard the caraway seeds.
2. Blanch carrots for 2 minutes and 15 seconds in boiling water. Plunge into ice water after blanching. Drain. Pat dry.
3. Press carrot slices between 2 to 3 layers of paper towels, applying gentle pressure to squeeze out as much liquid as possible.
4. In a very small rectangular pan (4 x 8-inch/10 x 20.5 cm), brush caraway butter, make a layer of carrot slices, brush with the caraway-butter again and season with salt. Repeat layering the carrots, butter, and salt to build a terrine that is about 1 inch (2.5 cm) thick.
5. Place a second pan of the same size over the carrot layers to press, adding a weight (such as a box of salt or a can of beans), then refrigerate the weighted terrine overnight.
6. The next day, loosen edges with a knife and invert onto a cutting board.
7. Preheat oven to 500 F (260 C). Line a baking tray with parchment paper.
8. Cut a 1-inch (2.5 cm) wide slice of the terrine, then cut the 2 ends off to make flat edges, for a perfect rectangle (1 x 1 x 4-inch/2.5 x 2.5 x 10 cm) of terrine. Repeat for as many portions as needed. Transfer slices to tray, brush with oil, and bake in a 500 F oven for 4-5 minutes until edges are slightly charred.
1. Heat olive oil in a small pot, add mustard seeds and heat until they start to pop. Transfer to a bowl to cool down.
2. In a squeeze bottle, mix vinegar, cooled mustard seed-oil mixture, Dijon mustard and honey. Shake to combine.
3. Heat a small amount of vegetable oil in a cast iron pan over high heat. Add julienned cabbage. Char cabbage slightly for 1 minute without stirring, flip and repeat.
4. Remove pan from heat. Add dressing to cabbage and toss, keep warm.
1. Remove the cured cheeks from the vacuum bag. Steam for 5 minutes to re-heat (if needed) and slice very thin.
2. On a dark plate, place a warm portion of Carrot Terrine down the middle, from top to bottom.
3. To the right, place a small amount of warm cabbage slaw, without leaving any space.
4. Lay slices of the Beef Cheek over the cabbage, fanned out, angled from left to right. Serve immediately.