Liogier was educated at Havana University in Cuba, completing his bachelor's degree in 1940 and his doctoral degree in 1945. He became a Professor and taught Biology and Botany at various universities in the United States and the Caribbean. Liogier was associated with the New York Botanical Garden, Harvard University and the Smithsonian Institution in Washington, D.C. In 1995 he retired from the faculty at the University of Puerto Rico. Liogier and his wife, Perpha, retired to Fort Worth, Texas, where he became a research associate of the Botanic Research Institute of Texas and the Fort Worth Botanic Garden. He was also an active member of St. Ritas Catholic Church in East Fort Worth.
