In my spare time, I enjoy writing expository notes on various subjects.

mathematics

• Algebraic Geometry – Some introductory notes on classical algebraic geometry. (20 pages)

• The Ring of Cyclotomic Integers – This note contains a derivation of the ring of integers in a cyclotomic field $\mathbb{Q}(\zeta_{n})$. By passing to the $p$-adic numbers, we are able to avoid many of the technicalities in the standard proof of this fact. (3 pages)

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. (34 pages)

physics

TBA