Scholars@Duke
Calvin McPhail-Snyder

Calvin McPhail-Snyder

Phillip Griffiths Assistant Research Professor
Mathematics

Selected Publications

Octahedral coordinates from the Wirtinger presentation

Journal Article Geometriae Dedicata · August 1, 2025 Let ρ be a representation of a knot group (or more generally, the fundamental group of a tangle complement) into SL2(C) expressed in terms of the Wirtinger generators of a diagram D. This diagram also determines an ideal triangulation of the complement cal ... Full text Cite

Holonomy invariants of links and nonabelian Reidemeister torsion

Journal Article Quantum Topology · March 30, 2020 Featured Publication Full text Link to item Cite

Planar diagrams for local invariants of graphs in surfaces

Journal Article Journal of Knot Theory and Its Ramifications · January 2020 In order to apply quantum topology methods to nonplanar graphs, we define a planar diagram category that describes the local topology of embeddings of graphs into surfaces. These virtual graphs are a categorical interpretation of ribbon graphs. We ... Full text Cite