Welcome to my webpage! I am a professor of mathematics at the University of Georgia. My research focuses on the shapes of random curves and polygons. I’m particularly interested in questions like *How likely is it that a random curve is knotted?*, or *What can we expect from a random diagram of a random space curve?*. My research is in the general area of geometric knot theory. An introduction to the subject is contained in this short course (and part II of the course) which I gave at the ICTP in Trieste, Italy in 2009. I am also interested in the arts, especially in computer graphics and in sculpture.

I live in the beautiful town of Athens, Georgia with my wife Tammy, our daughter Violet, and a small herd of cats that seem to keep wandering in off the streets and not leaving. My daughter seems to really want a lizard. Or a hamster. So maybe we’ll get that soon. We live in a 1953 ranch house that we’re slowly renovating, and at at our current speed we anticipate the renovations will be completed by 2053. (Maybe.) I grew up in the suburbs of Philadelphia, and moved to Georgia by way of Massachusetts in 2000. Before Massachusetts, where I worked at the University of Massachusetts GANG lab, I was a graduate student at the University of Pennsylvania and an undergraduate at Vassar College.

For the next few years, I intend to teach mostly the Differential Geometry of Curves and Surfaces (MATH 4250) course, which I’m gradually rewriting to include more physical models and some aspects of computational and discrete geometry.

My office is Boyd 448. Office phone: 706-542-2595. Email: (my full name) at gmail.com. Mailing address: Jason Cantarella, UGA Mathematics Department, Athens GA 30602.

My cv is available as well as my Google Scholar profile. I’ve contributed a number of math-related models for 3d printing to Thingiverse. Some movies of tightening knots are available on my web page from an old research project.

Current Projects

- I am working on a theory of the shapes of topological polymers with the Deguchi lab at Ochanomizu University in Tokyo and Clayton Shonkwiler of Colorado State University.

[…] Jason Cantarella and Clayton Shonkwiler used the toric geometry from the previous paper to study the geometry of equilateral random walks. This paper is a nice synthesis of symplectic geometry and probability theory, and was helpful for my understanding. […]