Category Archives: Math

Gauge Theory and Low-Dimensional Topology (Part I: Historical Context)

Posted on July 24, 2017 by Irving Dai

Hi! This month, I thought I would start a brief series of articles describing the uses of gauge theory in mathematics. Rather than discuss current research directions in gauge theory (of which there are many), I hope to give an … Continue reading →

Posted in Math, Topology | Tagged , | 1 Comment

The “Idea” of a Scheme

Posted on July 16, 2017 by Tom Gannon

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 →

Posted in Algebraic Geometry, Math | Tagged , | 1 Comment

AMS Notices Spotlight June/July 2017

Posted on June 28, 2017 by Taryn Laird

As a grad student, life can be hectic—with classes, homework, teaching responsibilities and more—so taking the time out of an already busy schedule to read the AMS Notices “cover to cover” is not always something that seems easily attainable. In … Continue reading →

Posted in AMS, Math, Math Education, Math Teaching | Tagged , , , | 1 Comment

Matrix Multiplication, the human way!

Posted on June 12, 2017 by Behnam Esmayli

Having to do copious calculations by hand when preparing for an exam, I came to realize that there was an alternative way of interpreting a matrix multiplication. This new insight would allow me to instantly guess the following product without … Continue reading →

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What is a Manifold? (6/6)

Posted on April 27, 2017 by Behnam Esmayli

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 →

Posted in Math, Uncategorized | Tagged , , | 1 Comment