Cryptography: The Mathematics of Trust
Cryptography is the engine under every padlock, every signed update, and every private message you have ever sent. This track takes you from the earliest paper ciphers to the algorithms defending the modern internet — and forward to the quantum machines that threaten to unravel them. You will learn not just how the primitives work, but how they fail, and how practitioners actually deploy them.
What you'll be able to do
- ▸ Explain how classical ciphers worked — and exactly how each one was broken.
- ▸ Choose the right symmetric primitive and mode of operation for a job, and never reach for ECB.
- ▸ Reason about public-key crypto, digital signatures, and the certificate chain of trust from root to leaf.
- ▸ Pick the correct hash for integrity versus the correct KDF for passwords, and say why they differ.
- ▸ Read a TLS handshake and judge when a padlock is meaningful and when it is theatre.
- ▸ Assess exposure to 'harvest now, decrypt later' and plan a crypto-agile migration to post-quantum standards.
Module Path
- 01
A Short, Brutal History of Secrets
Every cipher ever called unbreakable was eventually broken. Here is how.
16 min 5 briefings - 02
Symmetric Encryption
One shared key, both directions — fast, but only if you can share the key.
17 min 5 briefings - 03
Asymmetric Encryption & PKI
Two keys, a mailbox metaphor, and the fragile web of trust that holds the web together.
18 min 5 briefings - 04
Hashing & Integrity
One-way math that fingerprints data — and the right way to hash a password.
16 min 5 briefings - 05
TLS In Practice
What really happens behind the padlock — and when the padlock is lying to you.
18 min 5 briefings - 06
The Quantum Horizon
The computers that could unravel today's crypto — and the standards racing to replace it.
16 min 5 briefings