The following programs can be used for students who wish to experience studying mathematics in another country for a term or two.
Budapest Semesters in Mathematics
Website
Available Terms: fall, spring, fall + spring, or summer
Application Deadlines: April 1st for fall or fall + spring — October 15th for spring — March 1st for summer
Math in Moscow
Website
Available Terms: fall, spring, fall + spring
Application Deadlines: March 30th for fall — September 30th for spring