Peel and wash the potatoes and cut them roughly into pieces. Cover and cook in little boiling salted water for about 20 minutes. Chop the olives, except for something to garnish. Crumble cheese. Warm the milk.
Drain the potatoes and press them through a potato ricer. Add olive oil, cheese, except for something to sprinkle, milk and olives and stir in. Season to taste with salt and pepper. Serve, sprinkle with remaining cheese and garnish with olives.