Calvin McPhail-Snyder

Calvin McPhail-Snyder is a mathematician at Duke University, affiliated with the Department of MATH. He holds the title of Phillip Griffiths Assistant Research Professor. His research interests include mathematical physics, topology, and algebra, with a focus on quantum invariants of knots and 3-manifolds, particularly their connections to hyperbolic geometry. His work is inspired by the Volume Conjecture and involves Chern-Simons theories with complex gauge groups, as well as tensor categories and Hopf algebras with gradings by a group G, where G = PSL_2(\mathbb{C}) in the hyperbolic case. He can be contacted via email at calvin.mcphailsnyder@duke.edu.

Calvin McPhail-Snyder is a researcher at Duke University specializing in geometric topology, quantum topology, and knot theory. His work explores invariants of links, holonomy, and nonabelian Reidemeister torsion, with a focus on connections between classical and quantum topological structures. He investigates hyperbolic structures on link complements, octahedral decompositions, and quantum invariants such as the Kashaev-Reshetikhin invariants. His research also includes planar diagrams for local invariants of graphs in surfaces and contributions to surgery calculus for classical Chern-Simons theory. His publications highlight the interplay between algebraic and geometric methods in low-dimensional topology.