Assistant Professor of Quantum Information Science
Joined department: Fall 2022
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.
Topological quantum computation is hyperbolic. 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