(Source: Internet)

Arrival in Moscow:
Reach Lomonosov University (by car or by bus) 

From the airport: take a taxi outside the airport (only with official 
signs) and indicate that you would like to go to 'Moscow State 
University, MGU'. Prices for a single ride from the airport is 
anywhere between 50 and 80 USD depending on the day of the week and 
the type of car (Sundays and late hours are more expensive). 
The ride should last about 40 min, however, during rush hour, it 
could take you as much as 2 hours to get to the university. 

There is also a bus connecting Sheremetjevo airport to the metro 
(station: 'retshnoi vokzal'). From there you can take the metro 
(red line) to 'universitet'. Across the street called 
'Lomonosovsky Prospekt' is a bus stop, and buses Nr 1, 113 
(3 stops) and Nr. 119 and 661 (2 stops) will take you directly 
to the entrance of the main building. Travelling from Sheremetevo 
airport to MGU with public transportation will take you 
about 1.5 hours and may be inconvenient, especially if you 
have lots of luggage. 

From the newer Domodedovo Airport, 
the transfer is somewhat shorter (45 min) but not much convenient 
by public transportation either. 

We recommend you to book a transfer from the airport 
to MGU when you arrive. Our representative and driver will await 
you at the airport right after you passed the customs and drive you 
to the unversity or your host family. Especially if you arrive late 
or on Sundays, you will have difficulties to get into the MGU 
campus alone.