The National Mathematics Summer School (NMSS) is a program for the discovery and development of mathematically gifted and talented high school students from all over Australia.

During NMSS, students participate in a number of courses on different branches of mathematics not typically studied as part of the school curriculum. Each course is delivered in a series of lectures and small-group tutorials. Private study in the evening also gives students time to puzzle over problems and absorb what they have learned during the day.

The main course is Number Theory, which is studied in depth over the two weeks. Other courses which each run for one week vary from year to year and have in the past included:

• Chaos Theory
• Cryptography
• Knot Theory
• Languages and Automata
• Projective Geometry
• Topology

Accommodation is provided on campus and students enjoy a range of social activities.