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Paleontology and Paleobotony (although it deals with plants, not Animals)
A paleozoologist is a person who studies paleozoology - the study of the branch of zoology dealing with fossils and the creatures which were transformed into them.
Vertebrate paleontology, Invertebrate paleontology, Paleobotany, Micro-paleontology, Palynology, Economic paleontology, Applied paleontology, Paleozoology, Paleoecology, Paleolimnology
Paleontology is the study of prehistoric life.
Paleozoology is the study of prehistoric animals.
Paleobotany is the study of prehistoric plants.
Paleontology is the study of prehistoric life through fossils.