Challenge by Choice: How to gain power in your own education

Hidden deep within the jungle of demands for graduate students is one unspoken, yet clearly important goal: become your own advisor. This painfully mysterious mission was once again apparent in a recent conversation that I had. As is typical when I feel powerless in the machinery of graduate school, I was standing in the library stacks, manically reading the table of contents of any book that looked interesting while repeating the mantra: “That’s fine, I will teach myself.” Searching for books never fails to remind me of why I love math and why I am in graduate school. But after settling on only checking out three books, I was quickly reminded that (for the most part) I am not quite capable of picking up a math book and reading it. Not to mention that checking out three math books is already unreasonable. So, logically, I found a professor I trusted and asked: “How do I find resources that are developmentally appropriate, but allow me to learn the things that I want?” The response: “That’s what an advisor is for.”

Continue reading

Posted in Advice, Grad student life, Starting Grad Schol | Tagged , | Comments Off on Challenge by Choice: How to gain power in your own education

How to Survive Grad School as a Woman in STEM

There are certain moments from grad school that will always stick with me: the conference in Boston where my usually quiet lab mate opened up to me; the nights I spent drinking cheap beer with my closest friends in the grungy, student-run bar; the time (okay, times) I cried in my advisor’s office. And you can be sure that I won’t ever forget my general exams, whose residual panic-inducing effects I can still feel, months later.

I value these memories because they add texture to my life as a graduate student, providing joy or throwing it into relief.

But I’ve also had experiences that extend beyond the normal ups and downs. I listened, trying not to cry, as a professor told me that I was too slow to do theoretical work. (A year later, I won an NSF grant to do just that.) I gritted my teeth as I, the only woman in the room, was asked to sort exams into piles, while my male colleagues graded them. These experiences didn’t make me stronger, happier, more resilient, or more confident. They just wore away at my well-being.

Learning to survive graduate school as a woman in STEM—or any minority, for that matter—means finding ways to manage the effects of constant, subtle antagonism, because that antagonism won’t make you a better scientist, mathematician, or engineer.

Here are seven things that will.

Continue reading

Posted in Advice, Diversity, Grad School, Grad student life | Tagged , , , | 3 Comments

AMS Notices Spotlight June/July 2017

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 fact, if you are like me, often when you get the email notification that the Notices is published and you quickly file it away into a folder to check out at a later date, but let’s be honest, you rarely enter that folder to peruse them after you click the button to file it away. Now as a mathematician, staying up to date is important and filing away the Notices for some future date may not be the best habit to have. That’s where this post and future posts come in handy. Every time that the Notices have a new edition available, we will be spotlighting an article that we think is of particular interest for us as graduate students. We encourage you to take a moment out of your busy schedule to read the article or, if you aren’t interested in the topic we are emphasizing, to peruse the other articles and find one that catches your eye. So without further ado, our first spotlighted article.

Continue reading

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

Matrix Multiplication, the human way!

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 ever doing any numerical multiplication:
\[\begin{bmatrix}
1 & 2 & 3 \\
4 & 5 & 6 \\
7 & -8 & 0
\end{bmatrix}
\begin{bmatrix}
0 & 0 & 0 \\
0& 1 & 0 \\
1& 0 & 0
\end{bmatrix}
=
\begin{bmatrix}
3 & 2 & 0 \\
6 & 5 & 0 \\
0 & -8 & 0
\end{bmatrix}\]

Was there a way to have known that the first column of the product would be the third column of the first matrix?

Continue reading

Posted in Math | Tagged , , | Comments Off on Matrix Multiplication, the human way!

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 [a,b]\subset \mathbb{R} along with two or three real-valued functions. We also discussed when two sets of such data give equivalent (overlapping) curves. This enabled us to patch together a collection of such sets of data into one unified spatial curve.

We then studied the specific example of re-defining the metric on the plane so that its geometry is precisely that of a 2-sphere. We saw that for measurements of angles, lengths, and areas, all we need is a dot-product on vectors. Given an open domain in the plane, once we have a dot-product, we will be able to make such measurements. Our goal in this post is to make the following definition of a manifold more tangible.

Continue reading

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