The textbook "Geometric Methods in Inverse Problems and PDE Control" offers a comprehensive collection of articles presented during the IMA Summer Program in 2001. The contributions in this volume illuminate the application of geometric methods to solve inverse problems and to control partial differential equations (PDEs). The authors, including renowned scientists such as Christopher B. Croke and Gunther Uhlmann, have extensively engaged with the techniques used in the study of inverse coefficient problems and control problems for PDEs. These topics are of great significance in various application areas, such as medical imaging, non-destructive testing, and geophysical prospecting. The volume is a valuable resource for researchers and students who wish to explore the mathematical foundations and applications of these methods.