Tuition fellowships for foreign students
Tuition: fully covered by the federal QUOTA program, with a slightly different procedure for different countries, as explained here (CIS students) and here (non-CIS students) respectively. General information on international applications may be found here.
Russian as a foreign language: tuition is fully covered by HSE
Accommodation: a modern and inexpensive student guesthouse is provided by HSE
Visa support provided by HSE