Boil potatoes over a medium high heat in salted water until they soften enough that a fork easily pokes through, about 10 to 15 minutes. Once they are done, strain the water and leave the potatoes in the pot
Season lamb with salt, pepper, and oregano on both sides
Over a medium heat, using a cast iron or ridge grill pan, add some olive oil and sprinkle a small pinch of red chili flakes to absorb its flavor. You can forgo adding the red chili flakes if you do not like spicy food. Cook the lamb, about five minutes on each side
While the lamb is cooking, prepare the mashed potatoes. Make sure to keep an eye on the lamb while doing so. In a small pot, heat the milk and melt the butter and cheese in the milk. Add salt and pepper to taste and stir. Transfer into pot with potatoes. Turn on a low heat and, using a masher or the back of ladle, mash and mix the potatoes with the milk until a creamy mixture forms. Taste for flavor and if needed, add more salt and pepper and stir
Plate the lamb and mashed potatoes