I am a mathematician working at Duke University. I am interested in mathematical physics, topology, and algebra. More specifically, I study quantum invariants of knots and 3-manifolds, and in particular connections to hyperbolic geometry. Much of my work is inspired by or related to the Volume Conjecture. Physically this has to do with Chern-Simons theories with complex (noncompact) gauge group. Mathematically it is related to the theory of tensor categories and Hopf algebras with gradings by a group \(G\) ; the hyperbolic case is \(G = \operatorname{PSL}_2(\mathbb{C})\) .

If you’d like to get in touch you can email me at calvin@sl2.site.