Garbled Circuits as Randomized Encodings of Functions: A Primer.- The Complexity of Public-Key Cryptography.- Pseudorandom Functions: Three Decades Later.- The Many Entropies in One-Way Functions.- Homomorphic Encryption.- How to Simulate It: A Tutorial on the Simulation Proof Technique.- The Complexity of Differential Privacy.

This is a graduate textbook of advanced tutorials on the theory of cryptography and computational complexity. In particular, the chapters explain aspects of garbled circuits, public-key cryptography, pseudorandom functions, one-way functions, homomorphic encryption, the simulation proof technique, and the complexity of differential privacy. Most chapters progress methodically through motivations, foundations, definitions, major results, issues surrounding feasibility, surveys of recent developments, and suggestions for further study.