Cryptography and Mathematics for Developers

This project is a centralized repository and academic resource aggregator designed to guide students through a structured computer science curriculum. It provides a comprehensive roadmap of foundational courses and technical materials, helping learners navigate the transition from introductory programming to advanced software engineering proficiency. The repository distinguishes itself through a community-driven approach, where study paths and resource collections are refined and expanded via peer feedback and collaborative contributions. By organizing high-quality lecture notes, assignments, and reading lists from top-tier university programs into a logical progression, it enables self-directed learners to bridge technical skill gaps and optimize their academic performance. The content is maintained as a version-controlled collection of markdown files, ensuring that the learning path remains transparent and accessible. This documentation is compiled into a static format, allowing users to navigate complex academic sequences and track their progress across platforms without the need for dynamic backends.

libsignal is a cryptographic library that implements the Signal Protocol, providing the core primitives for end-to-end encrypted messaging with forward secrecy and deniable authentication. It includes the Double Ratchet algorithm for iteratively deriving fresh encryption keys per message, and the X3DH key agreement protocol for establishing shared secrets between parties asynchronously. A session state machine maintains cryptographic state across message exchanges, supporting recovery and out-of-order delivery. The library extends beyond basic messaging encryption with capabilities such as zero-knowledge proof group membership verification, which allows confirming a user's group membership without revealing the full group roster. It also supports hardware attestation verification to validate the identity and integrity of remote hardware security modules, and provides for secure device migration—transferring account data from one device to another while preserving encryption keys. Additional scope includes a Rust C FFI bridge that exposes cryptographic functions as a cross-platform API, enabling integration from multiple programming languages without rewriting core logic. The library covers end-to-end encryption, group membership verification, and device migration security as distinct capability areas.