In my spare time, I enjoy writing expository notes on various subjects. This is still a work in progress, but I hope to add more writings soon!

mathematics

• The Ring of Cyclotomic Integers – This note contains a short derivation of the ring of integers in the cyclotomic field $\mathbb{Q}(\zeta_{p^r})$ for a prime power $p^r$. By passing to the $p$-adic numbers, we are able to avoid many of the technicalities in the standard proof of this fact.

machine learning

• Supervised Learning – An exposition to basic machine learning concepts such as gradient descent, k-nearest neighbors, soft-margin SVM from a mathematical viewpoint, using real-world examples.

physics

TBA