Category Archives: mathematics

New York Times Nonsense

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I can’t decide whether to be annoyed or amused by the opinion piece by Andrew Hacker entitled “Is Algebra Necessary?” in the New York Times on Sunday*. Annoyed because it is such an obviously flawed piece of writing, essentially saying that since (in the US) the system is failing to teach lots of people basic mathematics in school, the solution is to stop teaching it rather than figure out what is going wrong with the teaching process, while at the same time very lamely trying to make the case that it has no use anyway. Amused because it’s obviously flawed, and hopefully anyone reading it will laugh – one’s first thought has to be that it is not a serious article, given that it it is published in a respectable newspaper with reasonably educated editors.

But one can’t – shouldn’t – laugh, since there are (sadly) many people (lots of whom […] Click to continue reading this post →

Working Group

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It wasn’t all lecture halls, discussion rooms, and cafeterias for the workshop. The organizers arranged for a boat tour last week, and we all sat on one of those splendid long, wide and low tour boats that you often see on the canals in Amsterdam. It was nicely equipped with a bottle of wine at each table, and the crew members handed us each a glass of sparkling wine as we embarked. Very nice. There was a lot of fun chatter from each table for the whole trip around the canals (so much so that they stopped the attempts to inform us over the PA system about some of the sights we were seeing, since the sound was drowned out by the conversations), covering (from what I could hear) a wide range of topics from well beyond physics to matters concerning topics presented in the workshop.

Sometimes pads of paper and pens appeared. Above is a group (David Tong, […] Click to continue reading this post →

Fractal in Progress…

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So last week we had a visit from Kelly Stelle (he’s part of the high energy theory group at Imperial College) who gave us an excellent talk about aspects of supergravity. His work connects to the fascinating ongoing story about finiteness, and the new techniques being used to do the multiloop computations (see a recent Scientific American cover story about some of that – it is misleadingly packaged by the magazine, as usual (preview here) , but the article itself, focusing on the computational issues, is nice).

After his talk, I gave him a tour of the campus, and as we passed through the Doheny Library to view the lovely interior, we stopped by the ongoing construction of the Mosely Snowflake Sponge fractal that I told you about here.

They’re making a lot of progress.

We spent a few minutes folding some business cards to contribute some component cubes to the construction, and I took a snap (see photo on left) of Kelly at work. We made two or three cubes each…

Here’s a shot of one of the completed modules […] Click to continue reading this post →

A Snowflake on Campus

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Ever heard of the Mosely Snowflake Sponge? There is one being constructed on campus here at USC right now! (The image on the left is the poster for the event.) The fractal was discovered by engineer Jeannine Mosely, and she did a similar construction (of a different fractal, the Menger Sponge) some years ago out of folded business cards (see here for some great images!), and the same thing is being done here. You can learn more about the project here. Margaret Wertheim, of the Institute for Figuring, is running this project, with the help of Tyson Gaskill. Everyone is invited to join in. You can just show up and fold a few cubes as you pass by. I took a picture and made encouraging remarks on this visit. (My defense is that I’d just given an hour and a half presentation, it was getting late into the night, and I was tired.)

There’s Margaret and Tyson working on constructing it, alongside a colleague of theirs […] Click to continue reading this post →

Knots from a Master

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witten_on_knotsAh. This is just perfect. I actually looked into my Institute For Advanced Study news magazine this time around and noticed a gem I’d like to share. Edward Witten gave a lovely talk entitled Knots and Quantum Theory for a (sort of) general audience, and there is video of it available. Ever wondered why mathematicians study knots? Why do physicists care? What do they bring to the table? Well, this could be a talk for you to take out a bit of time to watch.

Not long ago I wrote a post about Ed, his huge influence on the field of theoretical physics, and some of his role in my own development as a physicist during my time […] Click to continue reading this post →

Inspiration and Dedication

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jaime_escalante_by_robert_gauthierYou might not have heard of him, so I thought I’d mark the passing, on Tuesday, of the mathematics teacher Jaime Escalante. (Photo on right by Robert Gauthier.) He was an extraordinary teacher who passionately believed in the abilities of the many East Los Angeles students from disadvantaged and traditionally ignored backgrounds he taught, enduring the ridicule of his colleagues to press on with the job of teaching them as well as he could, challenging them to reach impressive heights of mathematical ability, especially considering given the circumstances. Some people might know some […] Click to continue reading this post →

Picking Mushrooms

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From Frances Bonahan s colloquiumAha. It’s one of those moments in mathematics press coverage that the journalists love, since all the stereotypes about how weird people working on abstract things can be are able to be brought out and highlighted, and words like genius, prodigy, recluse, eccentric, etc, get thrown about in equal measure.

Yes, Grigory Perelman has being turning down stuff again. You may recall him refusing the Fields Medal four years ago. Now he is refusing the Clay Mathematics Institute’s million dollar payout. Perelman proved the Poincaré conjecture a while back (see this older BBC article about that, along with a non-technical mention of the content of the conjecture – see also here, a related post the picture above right is from), which is on the Clay’s list of Big Problems whose collective heads have a bounty on them. He’s apparently a bit eccentric and the press love it, so most articles I’ve seen are mostly taken up with stuff like the following I saw in the Guardian:
[…] Click to continue reading this post →

Mathematics in Your Business

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Terry Gross interviewed Scott Patterson and Ed Thorp on NPR’s Fresh Air. I heard it yesterday. It was very interesting to listen to Thorp in particular, a mathematician, describing his curiosity about how to construct a system for beating various gambling games, and going from there to the stock market, in effect becoming one of the earliest of the “quants”,

Thorp and the people who use such systems have come to be known as “quants” — it’s a reference to the quantitative-analysis techniques they employ — and their stories are told in Scott Patterson’s new book The Quants: How a New Breed of Math Whizzes Conquered Wall Street and Nearly Destroyed It.

You can hear the interview here, and read an extract from the book. Very interesting are the questions about what they think really went wrong in the market crash of […] Click to continue reading this post →

Categorically Not! – Awesome

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cat_not_optical_puzzleThe next Categorically Not! is this coming Sunday May 29th. The Categorically Not! series of events that are held at the Santa Monica Art Studios, (with occasional exceptions). It’s a series – started and run by science writer K. C. Cole – of fun and informative conversations deliberately ignoring the traditional boundaries between art, science, humanities, and other subjects. I strongly encourage you to come to them if you’re in the area. Here is the website that describes past ones, and upcoming ones. See also the links at the end of the post for some announcements and descriptions (and even video) of previous events. (Image above right is from the excellent Categorically Not! – Really? event back in April 2006, described in an earlier post here. It was all about illusion, with examples from the world of optical illusions, and from literature.)

The theme this month is Awesome. Here’s the description from K C Cole:
[…] Click to continue reading this post →

Pi Day!

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piIt is Pi Day today! (It is also Einstein’s birthday, and Talk Like A Physicist Day. See below.) To remind you about Pi Day, from Wikipedia we have:

Pi Minute is also sometimes celebrated on March 14 at 1:59 p.m. If ? is truncated to seven decimal places, it becomes 3.1415926, making March 14 at 1:59:26 p.m., Pi Second (or sometimes March 14, 1592 at 6:53:58 a.m.).

The first Pi Day celebration was held at the San Francisco Exploratorium in 1988, with staff and public marching around one of its circular spaces, and then consuming fruit pies; the museum has since added pizza pies to its Pi Day menu.[1] The founder of Pi Day was Larry Shaw,[2] a now retired physicist at the Exploratorium who still helps out with the celebrations.

This year it is officially National Pi day too, according to the U.S. Congress!

Be sure to do some pi-ous things, ok? (Making pies, walking in circles at 1:59 pm (at […] Click to continue reading this post →

Unambiguously Good

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Libby Lavella, performing at at Categorically Not! 8th June 2008

Libby Lavella, performing at Categorically Not! 8th June 2008

Tonight’s Categorically Not! event was rather good fun, and interesting too. There were three excellent presentations under the theme “Ambiguity”. (See here.) K. C. Cole did a great job in bringing these people together (and of course in acting as M. C. on the night).

Bart Kosko did a great job talking principally about “fuzzy” mathematics, contrasting it with more binary (if you like) systems of logic. I think that his overview was great, and he talked about all the grey areas in logic and questions of epistemology where a “fuzzy” system is needed. (The question of whether a door is […] Click to continue reading this post →