Heat water and milk to 120° to 130°F.
Combine 1 cup of flour, sugar, yeast, and salt in mixer.
Attach dough hook and add water and milk mixture and mix until combined.
Add enough remaining flour to create a soft, slightly stick dough.
Stir in cheese.
Continue kneading with dough hook for another 5 minutes.
Lightly flour a cutting board.
Remove dough and let rise, covered, on cutting board for 30 minutes.
Divide dough into six equal pieces and roll into a 14-16 inch rope.
Fold the rope in half and pinch the ends together.
Holding both ends, twist the rope two to three times.
Place on parchment lined baking sheet, cover and let rise for another 30 minutes until doubled in size.
Preheat oven to 400°F.
Lightly beat egg white and water together.
Brush egg mixture over top of twists.
Sprinkle with cheese, poppy seeds, or sesame seeds - optional.
Bake for 10-15 minutes or until gold brown.
Let twists cool on wire rack.