All motorcycles parked on campus need a permit, just as the other vehicles do. The permits are available on a yearly basis from July 1 - June 30 (permit not valid in the Memorial Union Ramp). See costs here.
Motorcycles can park in any odd-shaped hatched area, except for those adjacent to medical stalls and in front of walk ways. There are also spaces in some lots that are signed specifically for motorcycles. Motorcycles cannot park in vehicle stalls.