Jon was born and raised in Minnesota, learned mathematics at Gustavus Adolphus College, in Budapest, and finally earned his PhD at the University of Oregon. After positions at the Universities of Toronto, Georgia, and Oklahoma, he's now on the faculty at Oregon State University. He thinks it a shame how badly math fares in the modern educational-industrial complex and occasionally tries to do something about it when not indulging his other interests. Email: [email protected]
by Jonathan Kujawa In April Donald Trump howled that the Republican delegate selection process was “rigged“. This was back when it looked like he wouldn't have a majority of the delegates going into the Republican convention. In the first round the delegates are required to vote for a particular candidate according to how they were…
by Jonathan Kujawa (this is the sequel to last month's 3QD essay on the Pancake Problems) I frequently come across a rafter of wild turkeys on bike rides through the countryside near my home. This particular group is recognizable thanks to having a peahen as an honorary member. Just this morning I was treated to…
by Jonathan Kujawa On March 15th it was announced that Andrew Wiles won the 2016 Abel Prize. Established in 2002, the Abel Prize has become arguably the most prestigious prize in mathematics. In contrast to the Fields medal, which is awarded to those under 40, the Abel prize set itself as the prize which recognizes…
by Jonathan Kujawa On a Friday night two weeks ago the US Supreme Court quietly announced they wouldn't hear a challenge to a lower court's order that North Carolina should redraw it's congressional districts. There wasn't much point in hearing the case. With Scalia gone the Court was widely expected to vote 4-4 on the…
by Jonathan Kujawa On “Things to Make and Do in the Fourth Dimension” by Matt Parker. I came dangerously close to not becoming a mathematician. Like many people my experiences with math in school left me irritated and bored. I have a poor memory and I'm not a detail oriented person [1]. The arbitrary rules…
by Jonathan Kujawa Something we all learn very early on is that things needs to be round to roll. My nieces, Abi and Sydney, are barely a year old and they already know that pyramids and cubes are terrible for rolling along the floor. The ones with more faces do better, but even a twenty…
by Jonathan Kujawa This spring I had the pleasure of spending several months as a visitor at the Mittag-Leffler Institute in Sweden. Hanging on the wall above my desk was a copy of this print: The Mittag-Leffler Institute has two patron saints: Gösta Mittag-Leffler and Sofia Kovalevskaya. The Institute is located in Mittag-Leffler's home just…
by Jonathan Kujawa It is little surprise that geometry goes back thousands of years. Right up there with being able to communicate with your fellow tribe members and count how many fish you have caught, you need to be able to measure off farm fields and build proper foundations for your home. It is an…
by Jonathan Kujawa Popular media loves nothing better than leaning on a tired trope when telling a tale. Mathematicians are always solitary geniuses who toil away in solitude on really hard problems. When they solve one nobody can quite say why anyone should have cared in the first place. But never mind that, it was…
by Jonathan Kujawa One hundred and fifty years ago atoms were mysterious things. They could only be studied indirectly. We knew about their interactions with each other as a gas, the frequencies of light they prefer to absorb and emit, and various other properties. Nowadays we can capture the image of a single hydrogen atom,…
by Jonathan Kujawa To say math is about numbers is like saying writing is about words. You can use words well or badly, but in the end it is the things and ideas they represent which are important. Just so with numbers. I have a clear memory of learning in middle school that the plots…
by Jonathan Kujawa Last week humanity had a moment of triumph. We (well, really the folks at NASA) successfully flew the New Horizons spacecraft over three billion miles at speeds exceeding 51,000 miles per hour (30 times the speed of the proverbial speeding bullet) to Pluto — a target only two-thirds the size of our…
by Jonathan Kujawa The mathematics of the everyday is often surprisingly deep and difficult. John Conway famously uses the departmental lounge of the Princeton mathematics department as his office. He claims to spend his days playing games and doing nothing with whomever happens to be in the lounge, but his conversations about seemingly mundane questions…
by Jonathan Kujawa In Oslo on May 19 John Nash and Louis Nirenberg received the 2015 Abel Prize “for striking and seminal contributions to the theory of nonlinear partial differential equations and its applications to geometric analysis”. The Abel Prize is barely a decade old but has quickly became one of the most prestigious awards…
by Jonathan Kujawa In 1971 H. S. M. Coxeter introduced a mathematical trifle he called “friezes”. At the time they didn't seem like much more than a cute game you can play. In the past decade, however, they've become a central player in a major new area of research. I recently saw an entertaining talk…
by Jonathan Kujawa Human beings are tightly bound by the limits of our intuition and imagination. Even if we grasp an idea on an intellectual level, we often struggle to internalize it to the point where it becomes a native part of our thinking. Rather like the difference between being able to comfortably converse in…
by Jonathan Kujawa Last month at 3QD we discovered that Pascal's Triangle contains all sorts of surprises. Like most things in mathematics, there is no end to the things you can uncover if you keep digging and have a curious mind. If we revisit the Triangle with our eye open for curiosities we notice that…
by Jonathan Kujawa Everyone learns about Pascal's Triangle when they are young. But I, at least, didn't learn all the wonders contained in the Triangle. Indeed, we're still discovering new things! To construct the Triangle is easy enough: you start with 1's down the outside edges and each interior number is gotten by adding together…
by Jonathan Kujawa In The Imitation Game Benedict Cumberbatch plays the amazing, fascinating, and ultimately tragic Alan Turing. I haven't seen it yet, but the reviews are good and it is bound to be up for a bunch of awards. It certainly does a thorough job of covering the Oscar checklist: Historical setting? Public and…
by Jonathan Kujawa Several weeks ago Alexander Grothendieck passed away. It is hardly possible to overstate his influence on twentieth (and twenty-first!) century mathematics. With the help of others he rebuilt vast amounts of mathematics from the ground up. He had a vision that still seems futuristic many decades later [1]. I compare it to…