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