Medals may be awarded in the disciplines of men's singles, ladies' singles, pair skating, and ice dancing, although not every discipline has been held in every year due to a lack of participants.

Medals were awarded in the disciplines of men's singles, ladies singles, and ice dancing.

Medals are awarded in the disciplines of men's and ladies' singles on the senior, junior, and novice levels.

The prize is awarded at the discretion of the Austrian Academy of Sciences to scholars resident in Austria for excellence and achievements in the mathematical and scientific disciplines in the broadest sense.

Medals are awarded in the disciplines of men's singles, ladies' singles, and ice dancing at various levels including junior, novice, and below.