Origin and Evolution of the Globular Cluster Mass Function Bruce G. Elmegreen IBM T.J. Watson Research Center Yorktown Heights, NY 10598 USA bge@us.ibm.com The globular cluster mass function (GCMF) is peaked at a mass that seems to be universally constant from galaxy to galaxy independent of type, and over radius inside a galaxy. The origin and mass of this peak are not understood. Cluster mass functions in galaxy disks are always power laws, possibly with an upper truncation. If globular clusters in the early universe formed by the same processes as local clusters, then the GCMF might have been a power law once too. Several models have been proposed to explain how such a power law might have evolved into a peaked function by the evaporation or destruction of low mass clusters. Other models consider that globular clusters did not form like local disk clusters but were unique from the start, like nuclear clusters in dwarf and late-type spiral galaxies. This talk will review observations and models of cluster formation and destruction with a focus on likely processes in the early universe.