Nullstellensatz

July 2022

Hilbert's Nullstellensatz is an important theorem in providing a bridge between algebra and geometry. This article walks through topics in commutative algebra before arriving at a proof of the theorem. Read moreNullstellensatz

July 2022

Hilbert's Nullstellensatz is an important theorem in providing a bridge between algebra and geometry. This article walks through topics in commutative algebra before arriving at a proof of the theorem. Read moreSylow Theorems

December 2021

The Sylow Theorems are fundamental to the study of finite groups. We build up to their proof by (1) studying group actions, (2) focusing on existence, and finally (3) studying conjugation of Sylow subgroups. Read more