by Jonathan Kujawa

Each year my department hosts an all-day event for high school students interested in math. Nowadays we have approximately 400 students and 20-30 teachers join us from all across Oklahoma and north Texas. Some drive 2+ hours each way to come!
The students’ goal? Probably getting out of class is high on the list :-).
Our goal is for the students to have fun and see interesting math they are likely to have never seen before. More generally we hope the students see math as a lively, engaging, and creative subject with lots of interesting open questions which are areas of active research. It’s meant to be an antidote to the dusty, rigid, cut-and-dry subject they usually see in an educational system focused on standardized tests and the like.

The highlight of the day, at least for me, is a talk by a visiting mathematician chosen for their reputation as an excellent speaker. It gives me an all-to-rare chance to hear a non-technical introduction to some cool math. This year we had the pleasure of hosting Diana Davis. Dr. Davis earned her Ph.D. from Brown University in 2013 and is now faculty at Swarthmore College. She gave a fantastic talk about playing billiards on a pentagonal billiard table.
Since we are mathematicians who are untroubled by the real world, we will always assume there is no friction nor spin to our billiard balls. This means the angle of incidence equals the angle of reflection and a ball can bounce around the table forever. We’ll also assume the table has no pockets and the ball never hits a corner. This is because our interest will be in understanding the trajectories a ball could take as it bounces around the table and pockets and corners would cause complications. A fundamental first question is if there is always a periodic trajectory: that is, a path that eventually repeats itself and, hence, repeats over and over forever. Read more »


Childrearing practices in the United States underwent a radical alteration during a period from the last decade of the nineteenth century through the first few decades of the twentieth. In 1929, psychologists William Blatz and Helen Bott looked back on the changes they credited to Dr. Luther Emmett Holt, whose childcare manual was first published in 1894 and continued to come out in new editions every few years:
I recently read Jill Lepore’s
At the heart of French existentialism – and especially the version associated with its most famous representative, Jean Paul Sartre – was the notion of radical freedom. On this view, when we choose, we choose our values and thus what kind of person we are going to be. Nothing can prescribe to us what we ought to value, and the responsibility of freedom is to accept this fact of the human condition without falling into the ‘bad faith’ which would deny it. The moment of existentialism may have passed, but the view that we are radical choosers of our values persists in many quarters, and so I want to consider how well this idea holds up, and what an alternative to it might look like.
Facebook, Amazon, Apple, Microsoft, and Google, often referred to as Big Tech, know more about you than your closest friends and family. They know who you are talking to and what you are talking about, what you are buying or are thinking of buying, how much money you have, and what your fears and desires are. What a few years ago may have sounded like a dystopic vision, is today a reality of our online life (our ‘onlife’). In this setting, even Facebook’s plans of introducing their own currency, Libra, does not seem out of the ordinary.
A long time ago, on a mountainside in Liechtenstein, I tuned my transistor radio to the Deutschlandfunk, one of neighboring Germany’s state radio stations whose broadcast range leaked into that tiny country. This is what I heard:
Biographies frequently provide us with insights into individual characters in a way that autobiographies might not: the third person narrator offers the prospect of greater ‘objectivity’ when evaluating and narrating information and events and circumstances. And so it is with Paul Avrich and Karen Avrich’s Sasha and Emma: The Anarchist Odyssey of Alexander Berkman and Emma Goldman,and Katie Kirkpatrick’s Becoming Beauvoir: A Life.These two books provide a wealth of knowledge on the political and philosophical thinking that engaged the brilliant minds of two significant women of the twentieth century: Emma Goldman and Simone Beauvoir.
The life trajectories of the two women could not have been more different: Goldman was a Jewish Russian émigré to the United States; she learned her politics through experience and in that process clarified her political thinking on anarchism, and her life was lived humbly. Beauvoir on the other hand, was from a bourgeois Catholic family and benefited from a formal education and she lived life relatively comfortably. However, despite their divergent lifestyles and politics, similarities can be drawn between their thinking on women, love and freedom.
Suppose you had some undeniable proof of the Everettian or Many-Worlds Interpretation (MWI) of quantum mechanics. You would know, then, that there are very many, uncountably many, parallel worlds and that in very many of these there are many, many nearly identical versions of you – as well as many less-closely related “you’s” in still other worlds. Would this change the way you think about yourself and your life? How? Would you take the decisions that you make more or less seriously?
He released 33 albums and recorded over 400 of songs, earning two Grammys among seven nominations. Yet you probably don’t know who Leon Russell was. For some people he’s a vaguely familiar name they have trouble putting a face or a tune to. Many more have never even heard of him. Because despite his prodigious output, Russell also had a way of being there without letting you know. He was the front man whose real impact came behind the scenes. He was very present, but just out of sight.



Despite Vonnegut’s strong counsel to babies entering the world, kindness seems to be in short supply. Little wonder. Our news media portray to us a world of power politics, corporate greed, murders, and cruel policies which are anything but kind. Our popular forms of entertainment, much more often than not, are stories about battles that shock and thrill us and gratify our lust for bloody vengeance, leaving no room for wimpy, kind sentiments. Success is advertised to us as requiring harsh discipline, dedication, and focus, and kindness, it appears, need not apply. Even though we all like to give and receive kindnesses, they seem to play no role in our political, social, and cultural economies.
In a