Explore a 43-minute conference talk from linux.conf.au 2021 that delves into the mathematics and development of fast TLS handshakes. Learn about Tempesta TLS, an implementation for the Linux kernel that focuses on asymmetric cryptography and elliptic curves. Discover how this implementation achieves 40-80% more TLS handshakes per second than OpenSSL/Nginx with up to 4x lower latency. Gain insights into elliptic curve computations, side channel attacks, CPU vulnerabilities affecting TLS handshakes, and new fast algorithms. Compare design trade-offs between OpenSSL, WolfSSL, mbed TLS, and Tempesta TLS. Examine assembly code examples and understand the fundamentals of efficient TLS handshake implementation in the Linux kernel.