Learn / Math

TRACK 01 · BEGINNER – INTERMEDIATE

Math

Finite fields, elliptic curves, and the algebra that underlies every proof system.

Foundations

00 ZK Math — Introduction 8:04 01 Variables, Expressions & Equations 5:11 02 Exponents and Powers 5:25 03 Divisibility, Factors & Primes 6:46

Modular Arithmetic

04 Modular Arithmetic 5:22 05 Modular Inverses & Fermat's 4:31 06 Finite Fields 4:08

Algebra for ZK

07 Polynomials 4:25 08 Polynomial Arithmetic 3:41 09 Lagrange Interpolation 3:33 10 Schwartz-Zippel Lemma 3:38

Groups & Curves

11 Groups & Cyclic Groups 3:23 12 Elliptic Curves 3:47 13 Bilinear Pairings 3:28

Hash Functions

14 Hash Functions & Random Oracles 4:02

Commitments

15 Commitment Schemes 5:43