Frank Garvan

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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.[1] He received his Ph.D. from Pennsylvania State University (January, 1986) with George E. Andrews as his thesis advisor.[2]

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,[3] 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.


  1. ^ [1], retrieved 2016-01-26.
  2. ^ [2], retrieved 2016-01-26.
  3. ^ [3], retrieved 2016-01-26.

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