Category Archives: Uncategorized

The AMS invites applications for staff writers of the Graduate Student Blog

The AMS invites applications for staff writers of the Graduate Student Blog, a blog by and for graduate students in mathematics, beginning in the fall 2019 semester. Staff writers share their experiences and challenges as graduate students, solicit posts, and … Continue reading

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How to Divide by Zero: An Interview with Bill Shillito

For this post, I interviewed a colleague about a new project he is working on: a website where he encourages his readers to consider the possibility of dividing by zero.  Bill Shillito has a Master’s degree in Secondary Mathematics Education … Continue reading

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Teaching Lessons from a Summer of Taking Mathematics Courses

Although I am a mathematics education graduate student and am not required to take mathematics courses as a part of my PhD, I had the opportunity to take several mathematics graduate courses this summer as part of a Mathematics Graduate … Continue reading

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Introduction to Ideal Class Groups

Algebraic number theory is a really interesting subject, but unlike some other subjects, it’s not 100% clear what objects people study. This post provides an introduction to the class group of a finite dimensional field extension of $\mathbb{Q}$, an object often … Continue reading

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What is a Manifold? (6/6)

In posts 1-3 we were able to reduce all of the geometry of a curve in 3-space to an interval along with two or three real-valued functions. We also discussed when two sets of such data give equivalent (overlapping) curves. This … Continue reading

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