Francis G. Garvan (born March 9, 1955) is an Australian-born mathematician who specializes in number theory and combinatorics.
[1] He received his Ph.D. from Pennsylvania State University (January, 1986) with George E. Andrews as his thesis advisor.
[4] Garvan is well-known for his work in the fields of q-series and integer partitions.
Most famously, in 1988, Garvan and Andrews discovered a definition of the crank of a partition.
It was first described by Freeman Dyson in a paper on ranks for the journal Eureka in 1944.