Add pasta to salted boiling water and cook according to directions on the package (usually 7 minutes). Drain well.
Meanwhile, heat milk in a small saucepan, but do not boil it. In a large pot, melt butter and add flour. Cook over low heat for 3 minutes, stirring with a whisk. While whisking, add in the hot milk and cook for another two minutes until thickened and smooth. Remove from heat.
Add in the cheeses, salt to taste, pepper, and nutmeg. Add the cooked pasta and lobster and stir well.
Spoon mixture into 6 individual serving-sized ramekins.
Bake for 30 to 35 minutes until bubbly and the lightly browned on top.