Eric Samperton


Teaching

During the fall 2018 academic quarter, I am teaching MATH 117 - Methods of Analysis. My office hours are Tuesdays 1:30-2:30PM and Fridays 9:00AM-10:00AM. Please login to GauchoSpace to see the course website.

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.

I am a co-organizer of the UCSB Quantum Algebra and Topology Seminar, which usually meets Tuesdays at 11AM.

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.


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


Writing

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

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

(4) "Schur-type invariants of branched G-covers of surfaces." To appear in Proceedings of the AMS Special Session on Topological Phases of Matter and Quantum Computation. arXiv Front.

(3) "Computational complexity and 3-manifolds and zombies." With Greg Kuperberg. Geometry & Topology (2018), Volume 22, Issue 6, pp. 3623--3670. arXiv Front.

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

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