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