Eric Samperton


Contact Information

E-mail: My first name followed by @math.ucsb.edu

Office: 6702 South Hall

Snail Mail:
Department of Mathematics
South Hall, Room 6607
University of California
Santa Barbara, CA 93106-3080


About (the mathematical) me

I am a visiting assistant professor in the UC Santa Barbara Math Department. I recently earned my Ph.D. from the Math Department at UC Davis. My advisor was Greg Kuperberg.

Much of my focus, including my dissertation research, is on the intersection of computational complexity and 3-manifold topology. I am also collaborating with Harry Baik on a geometric group theory project. Broadly, my interests are geometric topology and group theory, quantum algebra, and computational complexity and quantum computing.

Here's my CV. Here's a very full, loose lamination with \(\mathbb{Z}/4 * \mathbb{Z}/3\) symmetry:

And here's a video of a talk I gave at the University of Warwick related to my dissertation work: YouTube.


Writing

Preprints

"Coloring invariants of knots are often intractable." With Greg Kuperberg. In preparation.

"Computational complexity of enumerative 3-manifold invariants." PhD dissertation. arXiv Front.

"Schur-type invariants of branched G-covers of surfaces." Submitted. arXiv Front.

"Computational complexity and 3-manifolds and zombies." With Greg Kuperberg. Accepted for publication in Geometry & Topology. arXiv Front.

"Spaces of invariant circular orders of groups." With Harry Baik. Groups, Geometry, and Dynamics (2018), Volume 12, Issue 2, pp. 721-76. arXiv Front.

"On laminar groups, Tits alternatives, and convergence group actions on \(S^2\)." With Juan Alonso and Harry Baik. arXiv Front.