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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
What is a Manifold? (6/6)
In posts 13 we were able to reduce all of the geometry of a curve in 3space to an interval along with two or three realvalued functions. We also discussed when two sets of such data give equivalent (overlapping) curves. This … Continue reading
Up to Date Blog Content for JMM 2017
Looking for blog content about the 2017 Joint Mathematics Meetings? Check out the JMM 2017 Blog where you can catch up on yesterday’s main events and keep up with some of the main events during the meeting. I really enjoyed reading Profession, … Continue reading
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Riddle of the Month (November)
Welcome back to this month’s mathematical riddle (and can you believe it’s almost December)! Today we have a neat logic puzzle with an amusing twist on the traditional knightorknave problems that are popular in the literature.
Posted in Math Games, puzzles, Uncategorized
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Mathematical Democracy: Mission Impossible? Maybe not…
In 1950, a 29yearold PhD candidate at Columbia published a stunning theorem that later won him a Nobel Prize: “There is no such thing as a fair voting system.” Or so the legend goes. Let’s dive into this claim and … Continue reading