Answer
Synthetic methodologies are one of Corey's primary research interests. He focuses on developing new and efficient ways to synthesize complex organic molecules. His work in this area has led to the development of several important synthetic methods, including the Corey-Chaykovsky reaction, the Corey-Fuchs reaction, and the Corey-Winter reaction. These methods have been widely used in the synthesis of natural products, pharmaceuticals, and other important organic compounds.