1) From the subway stations Saviolovskaya and Timiriazevskaya it's possible to get by the suburban train "From Moscow" (except for the trains of Aeroexpress and RegionExpress). If the train stops at the station Novodachnaya, then you should exit the first train car, follow the road to campus (5-7 minutes). If the train DOESN'T stop at the Novodachnaya station, then you should exit on the station Dolgoprudnaya from the last car, go by the Pervomayskaya street against the train movement to the campus (10-12 minutes).
2) From the subway station Altufyevo it's possible to get by the 545 bus. The bus stop "Altufyevo" is located near the TC "Perekriostok" ("ТЦ "Перекресток"), exit the station from the first train car. Then exit the bus on the bus stop "MFTI" (Russian for MIPT).
3) From the subway station Rechnoy Vokzal it's possible to get by the 368 bus. Exit on the last stop "Stantsiya Dolgoprudnaya", then follow Pervomayskaya Street to the campus.
For those arriving by plane: Airport Domodedovo. From the airport, you can get to the subway station Domodedovskaya by taxi, or by Aeroexpress (high speed suburban train) to the Paveletsky Railway Station (subway station Paveletskaya). Afterwards, enter the subway and follow the scheme bellow. Airport Vnukovo. From the airport, you can get to the subway station Yugo-Zapadnaya, Oktiabrskaya (the brown line) by Aeroexpress (high speed suburban train) or by taxi to the Kievsky Railway Station (subway station Kievskaya). Afterwards, enter the subway and follow the scheme bellow. Airport Sheremetyevo. Although it is located in close proximity to the city of Dolgoprudny, but there is no direct highway. From the airport Sheremetyevo use taxi to get to the subway station Rechnoy Vokzal, then follow the scheme bellow. Or you can take a cab to go to the suburban train station "Lobnia" (not all terminals have taxi, so specify this information at the referral service of the airport), from there take any passing train to Moscow and exit at the station Dolgoprudnaya.
The campus map of MIPT can be found here: Map of the MIPT campus