Suzanne Eaton, 59, had been attending a conference at the Orthodox Academy in northwest Crete, when she is believed to have disappeared during a run on July 2.
Greek police found her body on Monday evening, according to the Max Planck Institute at Dresden University in Germany, where she worked as a biologist.
Local authorities "have not yet completed their investigation regarding the events that may have transpired" on the afternoon Eaton went missing, the institute said in a statement.
"We are deeply shocked and disturbed by this tragic event," it added. "Suzanne was an outstanding and inspiring scientist, a loving spouse and mother, an athlete as well as a truly wonderful person beloved to us all."