The AMU is based in Yerevan, and has been a member of the European Mathematical Society since 2016.

[3] The modern Armenian Mathematical Union was founded in 1991, the same year that Armenia gained independence due to the dissolution of the USSR.

[2] In May–June 2018 it hosted a conference to celebrate the 120th anniversary of Emil Artin's birth.

[6] Since 2001 the AMU has annually awarded the Emil Artin Junior Prize in Mathematics to a mathematician under the age of thirty-five who studied in Armenia, for "outstanding contributions in algebra, geometry, topology, and number theory.

The winner is announced in the Notices of the American Mathematical Society, and as of 2024 receives a cash prize of US$1400.