# Eric G. Samperton

## Contact Information

E-mail: e g s a m p @ either math.ucdavis.edu or just ucdavis.edu. Make sure to remove all the blank spaces.

Office: 3125 Mathematical Sciences Building.

Snail Mail:

Mathematics Department

1 Shields Avenue

University of California

Davis, CA 95616

## About (the mathematical) me

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

My thesis work lies at the intersection of computational complexity and 3-manifold topology. I am also collaborating with Harry Baik on a geometric group theory project. I am broadly interested in 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: YouTube.

## Writing

##### Preprints

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

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

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

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

"Spaces of invariant circular orders of groups." With Harry Baik. arXiv Front. Accepted for publication in *Groups, Geometry, and Dynamics*.

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

##### Notes

"Tannaka reconstruction for finite groups." I went over this in discussion section for MATH
250B. PDF