Francis G. Garvan (born March 9, 1955) is an Australian-born mathematician who specializes in number theory and combinatorics. He holds the position Professor of Mathematics at the University of Florida. He received his Ph.D. from Pennsylvania State University (January, 1986) with George E. Andrews as his thesis advisor.
Garvan is well known for his work in the fields of q-series and integer partitions. Most famously, in 1988, Garvan and Andrews discovered the crank of a partition, an elusive combinatorial statistic conjectured to exist by Freeman Dyson in 1944, which provides a key to the study of Ramanujan congruences in partition theory.