Awards of the society:

• The Australian Mathematical Society Medal – awarded annually since 1981 to a Society member under the age of 40 for distinguished research in the mathematical sciences
• The George Szekeres Medal – awarded since 2001 in even numbered years for an outstanding contribution to the mathematical sciences in the fifteen years prior to the year of the award.
• The ANZIAM Medal
• The J.H. Michell Medal
• The Mahler Lectureship
• The Bernhard Neumann Prize