
The opinions expressed on this blog are the views of the writer(s) and do not necessarily reflect the views and opinions of the American Mathematical Society
Subscribe to Blog via Email
Comics

Recent Posts
Recent Comments
 Fourdimensional on Higher Dimensional Polytopes
 Irving Dai on Gauge Theory and LowDimensional Topology (Part II: Smooth FourManifolds)
 Sarah K. Salmon on Daily Quizzes: the Good, the Bad, and the Ugly—Part 2
 Craig on A Pretty Lemma About Prime Ideals and Products of Ideals
 jeff thomson on Daily Quizzes: the Good, the Bad, and the Ugly—Part 2
Archives
Categories

Comments Guidelines
The AMS encourages your comments, and hopes you will join the discussions. We review comments before they're posted, and those that are offensive, abusive, offtopic or promoting a commercial product, person or website will not be posted. Expressing disagreement is fine, but mutual respect is required.
Meta
Author Archives: Tom Gannon
A Pretty Lemma About Prime Ideals and Products of Ideals
I was trying to prove a theorem in algebraic geometry which basically held if and only if this lemma held. Here’s the lemma: Lemma: Given any ring $A$, a prime ideal $ \mathfrak{p} \subset A$, and a finite collection of ideals … Continue reading
The “Idea” of a Scheme
The mathematical concept of a “scheme” seems to pop up everywhere, but it’s hard to get a good grasp on what a scheme actually is. Any time you might ask someone what a scheme is in passing, there never seems … Continue reading
Ordered Fields and When You Can’t Order Them
The real numbers have an ordering on them–given two numbers and , we can tell whether or . So as math people, we like to generalize this to other sets–when can we say that a general set is ordered? In this post, … Continue reading
On “Imposter Syndrome”
Here’s how it happens: You’re in graduate school and were one of the best people in your major from your school. Honestly, that’s how you got into graduate school in the first place. You go in the first few weeks, you … Continue reading
Posted in Advice, Grad School, Grad student life, Starting Grad Schol
Tagged Advice, graduate students, Imposter Syndrome
3 Comments