Hi everyone! Hope I will finally get a specific answer to my question.

I live in US and I have my Green Card in my MARRIED Last Name and my Russian Travel Passport - is in my MAIDEN Last name.

I am planning to travel to Russia. My 2 questions are:

- What last name I should use when I buy my air tickets (round trip) - married or maiden?
- Should I expect any problems while crossing the borders/returning to US?

PS I have a marriage certificate (FL state), but there is no mentioning that my last name has been changed or anything like that. There is only mentioned of my husband's full name, my full name, place, date of marriage, etc.