Sometimes I click on the users accounts on both MSE and Math Overflow sites. I noticed there are many users on MSE, prefer to be anonymous unless on the other site. and noticed there are many mathematician on the Math Overflow. also I realized there are some experts who are avoiding to put their full name on MSE but the same user have full name on the Math Overflow site.
Although I am far from being a a mathematician , I wonder what is the importance of having full name on Math Overflow?