Make time to be bored

In the current times, most young people (and many older folks) seem to suffer from some form of addiction or obsession with tech, especially our phones. We instinctively react to its beeps and buzzes, we whip it out whenever there’s a quite moment, and we sometimes read texts out the corner of our eye during … Continue reading “Make time to be bored”

Algebraic derivatives

In commutative algebra and algebraic geometry, a common operation is to take derivatives of polynomials. This would seem a fairly straightforward thing to do, but in commutative algebra/geometry, we study polynomials over arbitrary rings and fields, and the good old derivative from standard calculus is quite dependent on the metric structure of or , since … Continue reading “Algebraic derivatives”

The Snake Lemma in unflattering detail

“Proving the snake lemma is something that should not be done in public…” ~ Paolo Aluffi. The Snake Lemma is a theorem about exact sequences of modules, and is an important tool in homological algebra. Almost every textbook that includes the Snake Lemma leaves it as an “easy” exercise. Atiyah–MacDonald is kind enough to construct … Continue reading “The Snake Lemma in unflattering detail”

The mindset for a successful mathematics undergraduate

Hey and welcome to my new blog, where I’ll discuss mathematics I like, study skills, and the lifestyle habits that keep me productive, organized, and stress-free on my academic journey. Mathematics is a famously difficult subject to study at university, so I’m going to kick things off with some general mindset tips for fellow undergraduates … Continue reading “The mindset for a successful mathematics undergraduate”