Blog: Articles filed under mathematics

This January, I applied for a summer Undergraduate Student Research Award (USRA) from the National Science & Engineering Research Council (NSERC). Lakehead University has 20 such awards to give to applicants this year, and on Monday, I learned that I am the recipient of one!

I was (still am) a mixture of elation and trepidation. Part of me is still in a state of shock and can’t quite believe that this is real. I spend a good half hour after learning I got the grant just trying to calm down so I would not run up to everyone I encountered and yell, “I GOT A GRANT!” Another part of me is saying, “What do you think you‘re doing, Ben? You don’t even understand what it is you’re going to be researching!” As anyone who has ever looked at a higher math textbook knows, the language is just scary sometimes.

I applied for the NSERC grant for two reasons. Firstly, it’s a different summer employment opportunity than my default, which is the art gallery. Don’t get me wrong: I love working at the gallery. You can’t beat the hours, and I have an awesome boss—she took the news that I wouldn’t be working there over the summer much easier than I thought she would. Nevertheless, I’ve worked there for four consecutive summers. I‘m not averse to trying something new, particularly something related to my area of interest.

Secondly, since this is a research position, I’ll get a chance to experience exactly what “math research” is all about. Sometimes people will ask me why I’m becoming a high school teacher instead of going on to graduate school and becoming a professor; usually my answer is somewhere along the lines that I‘m not sure I’d like doing “math research” and writing “math papers.” I‘m more in it for the teaching. This grant is a perfect way to see if, in fact, I like or dislike doing research, without committing to something like graduate school first.

So I’m excited about this change, but also just a little bit anxious—it is a big change in how I’ll be spending my summer, and a different responsibility. After four years at the gallery, I’m so used to doing the same thing every summer that it’s hard imagining myself doing anything else.

The position itself is a full-time for 16 weeks. My area of interest in mathematics lies in commutative algebra, so Dr. Adam Van Tuyl has agreed to be my supervisor. He’s come up with a neat project for me, and I’ll try to explain some of it. I don’t fully understand what I’m doing yet myself; for the first few weeks I’ll need to review my ring theory from last year and then work to learn new concepts we didn’t even cover in that class.

Ultimately I’ll be continuing work that Dr. Van Tuyl did on computing spreading and covering numbers for monomial ideals. One of the issues he and his colleagues encountered when they first worked on this problem was a lack of computational power for calculating values for these numbers. Later in the project, I’m going to be writing my own algorithms for calculating these numbers, and I should be able to run them SHARCNET, a network of high performance computers maintained by several academic institutions in Ontario.

I plan to blog about the project as the summer goes on. I start working on May 10, so I probably won’t have much to say on the subject until then. For now I need to focus on finishing the school year!

Tonight Stargate Universe premiered, and I wanted to share my thoughts on it. However, I feel guilty blogging about a television show when I haven’t blogged about arguably more important matters, such as life.

With a month behind me, I feel good about the school year so far. I only have four courses this year: Introductory Analysis, Partial Differential Equations (PDEs), Introduction to Mathematical Probability, and Speculative Fiction. Three math courses and an English course. All of my math courses are interesting, and I was excited to take the English course the moment I saw it offered. I’ll discuss it first, since the rest of the post will be about math.

My Speculative Fiction course is covering only science fiction this section—which is fine. Although I love literature in general and would gladly have taken something like Victorian Literature if this course hadn’t been offered, the chance to read and discuss science fiction for credit is not something I was going to overlook! We’re reading The Time Machine and The War of the Worlds, The Left Hand of Darkness, Do Androids Dream of Electric Sheep?, Neuromancer, Dawn, and Singularity Sky. We also have to watch Blade Runner (a film based on Do Androids Dream).

Of my math courses, Introductory Analysis is my favourite because it comprises my favourite aspect of math: proofs. Specifically, I love algebraic proofs—the more abstract the better. I love math but don’t like numbers so much. PDEs are fascinating and challenging as well; the course is very much oriented toward application, however, whereas I‘m more interested in theory. Unfortunately, my ardour doesn’t quite extend to probability, but I think I’ll survive—so far it hasn’t tripped me up too much.

My involvement in math at the university extends far beyond courses! Last term I marked assignments for a first-year calculus course; this fall I‘m marking a second-year linear algebra course. Moreover, I’m tutoring in the new Lakehead Math Assistance Centre (LUMAC for short). Both of these jobs are paid positions, which is a nice income in addition to my gallery job while also providing me with relevant experience for my future career.

Having spent a few sessions tutoring, I can already say that I enjoy it. We’ll see if it stays that way once the flood of people arrives the week before midterms! For now, however, it’s fulfilling. Plus, it gives me a nice review of first-year courses, like basic calculus, that contain skills I’ll always be needing but don’t always practise as I should.

So I have a very math-filled term, it appears. I like to use the phrase “inundated by math—and I love it.”

More Reasons to Love the Guild

I‘ve already preached my love for The Guild, a webseries by talented comedians and actors, including Felicia Day. Well, even as they work on a third season, they’ve released a fantastic music video:

Who Said Math Can’t Be Fun?

Well you were wrong, whoever you were. Mathematicians from Carleton University and the University of Ottawa modelled different responses to a zombie apocalypse and concluded that the best way to survive a short-term zombie apocalypse is to impulsively eradicate all zombies. Ladies and gentlemen, load your engines and start your shotguns.

I’m an Uncle

In July, my sister, Tara, gave birth to a very little boy named Clark! So I’ve got a nephew, which makes me an uncle, and that is sublime. I got to meet Clark today for the first time, which called for the typical point-and-shoot photos that wind up on Flickr somehow.¹ If I‘m short on words about Clark, it’s only because I don’t really know him yet—he doesn’t know himself yet, since he’s only a month old and still new to the world. I will report back in four or five years!

• [ 1 ] I blame the gnomes, if only because they haven’t unionized yet like the orcs did.