Eric Samperton
Assistant Professor of Quantum Information Science
My research focuses on interactions between topology and computer science. I am most interested in 3-dimensional geometric topology and topological quantum field theories, topological quantum computation, quantum and classical algorithms, and complexity.
Joined department: Fall 2022
Research Areas
Education
Ph.D., University of California, Davis, Mathematics (2018)
B.S., California Institute of Technology, Mathematics with a minor in English (2012)
My research focuses on interactions between topology and computer science. I am most interested in 3-dimensional geometric topology and topological quantum field theories, topological quantum computation, quantum and classical algorithms, and complexity.
Selected Publications
Topological quantum computation is hyperbolic. Communications in Mathematical Physics (2023), Volume 402, pp. 79-96. arXiv
Coloring invariants of knots are often intractable. With Greg Kuperberg. Algebraic & Geometry Topology (2021), Volume 21, Issue 3, pp. 1479-1510. arXiv
Haah codes on general three manifolds. With Kevin Tian and Zhenghan Wang. Annals of Physics (2020), Volume 412, 168014. arXiv
Computational complexity and 3-manifolds and zombies. With Greg Kuperberg. Geometry & Topology (2018), Volume 22, Issue 6, pp. 3623-3670. arXiv, YouTube