Blog: Articles filed under CUMC

It is Saturday, but it doesn’t feel like Saturday, mostly because I’m … at school. This is the last day of the CUMC. I’m in the last talk of the day, having chosen to attend “Perfect Matchings and Shuffling.” Afterward, there is the final keynote, which Ram Murty will deliver on the Riemann hypothesis.

Yesterday I went to a talk on fractal image compression. The talk itself was not stellar, but there were some good questions on the applications of this type of lossy compression, and the speaker addressed those well.

In the afternoon Aaron, Rachael, and I took a bus—yes, a bus—down to King St. This was my first time riding public transit, and it wasn’t in my own city! Aaron wanted to visit a small record store, Orange Monkey Records, and then i checked out a used bookstore known as Old Goat Books. I bought more books than I should have, considering they need to fit in my sparse luggage—but I couldn’t resist.

The final keynote of the day was delivered by Greg Brill, of Infusion. Although titled “The Evolution of Technology,” Brill’s talk was not what I expected. He has a Masters in computer science (after coming from a liberal arts background!) but talks like a showman rather than an academic or a businessman. He discussed how mathematics—and hence, mathematicians—are essential to the development of technology, particular business products. For example, he mentioned how his company had been working with motion-sensing technology similar to Kinect, and that the main problem was not a lack of technology but a lack of the mathematics necessary to achieve what we want in that area. Brill is very keen on the idea that we are moving from an idiomatic society to an idiom-less one and is convinced that mathematicians will help make that happen.

Dinner came in banquet form, and while the food was OK, the dancing was better. That’s right: dancing. I love to dance, and I had a great deal of fun on the dance floor for about an hour or so before calling it a night. I’m not as young as I used to be.

Tonight we fly home, and tomorrow I go to my nephew’s first birthday party (no weekend recovery for me). Then it is back to math research: reading papers, re-reading papers, writing algorithms, and making tea. CUMC has been fun, but I will be glad to be home.

It is Thursday, July 8.

After the first talk this morning—on set theory, particularly ZFC—I spent time caressing the lovely wireless network by way of uploading some photos to Flickr. When attempting to geotag them, however, I ran into the slight problem, in that typing “University of Waterloo” into the Flickr map’s location finder produced no results.

So, Yahoo!, in case you are wondering why people drool over Google and its products, here is a hint: we are lazy. When I type in the name of a major university, your map should be able to find it for me. I should not have to go find a postal code on my own, enter that, and wind up in the general vicinity of the campus. (I used Google Maps to find the postal code too, which just seems wrong). It is not that I am a Google fanboy, Yahoo!—they just do it so much better.

At lunch, I did something completely out of character and chose to be adventurous, purchasing bubble tea for the first time. My less adventurous self was soon vindicated. We went to a fast food place called “The Grill” for food. I attempted to poke my straw through the seal placed over my cup—urged on by Rachael’s encouragements of, “Just do it!”—and after one mighty stab, the straw went through … and the bubble tea exploded. A plume escaped from the top, but the cup also developed a leak in the bottom somehow, and it spilt all over the table and down onto the floor. We don’t cry over spilt milk, but what about spilt bubble tea?

I also decided to be adventurous when it came to food. The menu had a “lamb burger” on it. I have had lamb before, but never in burger form, so I ordered one of those. Its taste was similar to a regular hamburger, which disappointed me.

For some reason, I was lethargic after lunch and greatly desired a nap. I blame the heat. I struggled to stay awake and pay attention to the afternoon’s talks—first one on computability theory, and then another on universal algebra. After that, we had a little break before going for dinner. Rachael and I ordered some chicken fried rice from a Chinese place, while Aaron opted for shrimp wonton soup. The price was right and the portions huge—I could not finish mine, although I came close, while Rachael ate a lot and left even more.

The morning keynote speaker was Michele Mosca, from the University of Waterloo. He talked to us about quantum computing, with a particular focus on quantum cryptography. The talk was more about mathematics than of mathematics, with only a little actual math involved. I quite enjoyed the subject. Quantum computing is a concept that sounds like science fiction, but it is real; we have quantum computers—albeit primitive ones—right now! The future is here.

It is Wednesday, July 7. The CUMC talks began today.

I went to four talks today. Rather than summarize them all—I enjoyed them all—I’ll mention some highlights. The first talk of the afternoon was both my least favourite and most favourite talk. Entitled “The Ontology of Mathematics: Do Numbers Exist?,” the presenter read from dense slides, which did not make for the most riveting experience. There was some lively discussion among the audience, however, and I enjoy talks like that.

Comparing CUMC to the Combinatorics & Optimization workshop that preceded it, I prefer the student talks of the former. The topics are so varied—there is so much choice within each time slot, that it is difficult to decide which talks to attend. The atmosphere is less intimidating, because it’s undergraduates talking to undergraduates. I almost regret not giving a talk myself—almost, for it would involve public speaking, and long gone are the days when classes made that mandatory.

There were two keynote speakers, one at lunch and one at the end of the day. First, Frank Morgan, from Williams College, gave a talk on densities and the Poincaré conjecture. As I have never studied differential geometry, most of the mathematics went over my head. The audience in general got into it, however, asked great questions, and we all tried answering the questions Morgan asked of us. In the end, I learned from the talk, which is all one can ask, right? The second talk was easier for me to understand, because it involved matrices and metric spaces. I love metric spaces! Carsten Thomassen, visiting from the Technical University of Denmark, was the speaker; he also gave two talks at the Combinatorics & Optimization workshop.

After the last keynote, Aaron, Rachael, and I walked down to the campus plaza, which has a cornucopia of restaurants. We elected to share a pizza, placed an order, and then took it back to the air-conditioned environment of another building. The Waterloo campus is beautiful, but the heat makes any sort of lengthy walk unattractive. Waterloo campus is also big—compared to Lakehead’s, at least—so every walk is lengthy.

The pizza proved a good choice, as it was tasty and filling. We walked back to the residence where Aaron and Rachael stayed, and then Rachael and I listened to Aaron’s talk, which he is presenting tomorrow afternoon (it concerns the classical Cantor set). Tomorrow I plan to attend talks on set theory, computability theory, universal algebra, and perhaps one on range-sum queries.

I’ve uploaded some photos from my trip so far. They are all accessible in this Flickr set, and new ones will be added there as well.

It is Tuesday, July 6.

Today’s four talks began with electrical networks and random walks. That is, suppose you have a graph that describes a network through which electricity flows. Starting at a vertex x, what is the probability that, when walking at random along the graph, we will arrive at a vertex s instead of a vertex t? This talk was very easy to follow (for which I am thankful), even though I don’t have any engineering or physics background with which to understand the electrical current aspects (like voltage law).

Unfortunately, the second talk involved probability. Probability is great, but I find it very difficult, so this talk was hard to follow. The third talk was about embedding locally-compact metric spaces on surfaces (it is not as scary as it sounds). Finally, the fourth talk was about matching polynomials. The speaker went rather briskly, so it was difficult to take detailed notes, but I enjoyed the subject. Before this summer, I had no idea that polynomials and graphs went so well together. Now it seems like they’re inseparable.

And that concludes the Combinatorial and Optimization workshop. There was a banquet for CUMC at the Huether Hotel, and it was not what I was expecting—very crowded, although the food was good.

Prior to the banquet, Phelim P. Boyle delivered the first keynote speech for CUMC. Boyle is a mathematician of finance, he is interested in the recent financial crisis. He discussed option pricing and the Black-Scholes equation. As with probability, finance is an area of mathematics I avoid, because of its strong dependency on number. Nevertheless, I enjoyed the talk.

I now have access to reliable wireless on campus, although such a phenomenon continues to elude me at my grandparents’ house. Never has my dependency on the Internet been so apparent.