Cousin Wu Ka Lok

First-year PhD student in the Computer Science Department at Stony Brook University. CTF, Maths enthusiast. A member of the Black Bauhinia (blackb6a) CTF team based in Hong Kong.

Fundamental Concepts Underlying Elliptic Curves

Blog series on the fundamental concepts underlying elliptic curves.

Fundamental Concepts Underlying Elliptic Curves (Level 2): Divisors and Pairings

11 May, 2022 56 minute read ★★★☆☆

Elliptic curve has a lot of nice structures attached to it. One of them is the idea of divisors. Using divisors, we can construct an example of a pairing, wh...

Fundamental Concepts Underlying Elliptic Curves (Level 1): Projective Coordinates

15 December, 2021 85 minute read ★★★☆☆

Last time we mentioned the basic concepts of Elliptic curves. However, there were some lingering questions about the weird representation of points in sage b...

Fundamental Concepts Underlying Elliptic Curves (Level 0): High-level Overview

11 December, 2021 39 minute read ★★☆☆☆

Elliptic Curve is one of the biggest topic in mathematics, for example number theory and geometry, and is used to, for example, proof the famous Fermat’s Las...