Constructing r-matrices on simple Lie superalgebras

We construct r-matrices for simple Lie superalgebras with non-degenerate Killing forms using Belavin-Drinfeld type triples. This construction gives us the standard r-matrices and some nonstandard ones.Comment: 19 page

Dynamical Quantum Groups - The Super Story

We review recent results in the study of quantum groups in the super setting. In particular, we provide an overview of results about solutions of the Yang-Baxter equations in the super setting and begin to develop the super analog of the theory of dynamical quantum groups

Super Solutions of the Dynamical Yang-Baxter Equation

We classify super dynamical r-matrices with zero weight, thus extending earlier results of Etingof and Varchenko to the graded case

Summer Cleaning: (Digital) Organizing Basics for Mathematicians

At the beginning of last summer I wrote about a neat trick to make your summer a productive one. And I heard from some of you who took me up on this suggestion; it seems that this actually works for many people! So, this year, for those who are willing to experiment with new ideas, I have another summer recommendation: Let us clean

Extended Book Review: Mathematics in Popular Culture: Essays on Appearances in Film, Fiction, Games, Television and Other Media, edited by Jessica K. Sklar and Elizabeth S. Sklar; Loving+Hating Mathematics: Challenging the Myths of Mathematical Life, by Reuben Hersh and Vera John-Steiner; Mathematicians: An Outer View of The Inner World, by Mariana Cook

I was delighted to have the opportunity to review three books on a topic near and dear to my heart. In recent years it has become a passion of mine to think of and speak about the place of mathematics in the real world, in the world of those who are not doing mathematics for a living. I care about the applications and the implications of mathematics, but more than that, I care about the feelings and the impressions attached to it. Often math anxiety or skepticism comes up; the latter may be due to how frequently others (mis)use statistics, but the former is often directly related to the way we (mathematicians and math teachers) teach math (see for instance Jo Boaler’s classic What’s Math Got to Do with It?). However, besides the troubles with our pedagogy, I think we as a community help perpetuate several myths about mathematics and reap and enjoy the fruits of our specialness

The Power of Two: Two Tips for Mathematicians

This post is about two great tips involving the number 2 that I learned along the way. They will perhaps not double your happiness or fortune, but I promise you that you will not regret it if you do decide to take them along for the ride