Calvin McPhail-Snyder, Phillip Griffiths Assistant Research Professor

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.

Office Location:
Office Phone:	(919) 660-2800
Email Address:
Web Page:	http://sl2.site

Teaching (Fall 2024):

• MATH 333.01, COMPLEX ANALYSIS Synopsis

  Physics 235, TuTh 11:45 AM-01:00 PM

• MATH 733.01, COMPLEX ANALYSIS Synopsis

  Physics 235, TuTh 11:45 AM-01:00 PM

Education:

Ph.D.

University of California, Berkeley

2021

Recent Publications

1. McPhail-Snyder, C, Hyperbolic structures on link complements, octahedral decompositions, and quantum SL₂ (March, 2022) [doi]
2. Kai-Chieh, C; McPhail-Snyder, C; Morrison, S; Snyder, N, Kashaev-Reshetikhin Invariants of Links (August, 2021) [doi]
3. McPhail-Snyder, C, Holonomy invariants of links and nonabelian Reidemeister torsion, Quantum Topology, vol. 13 no. 1 (March, 2020), pp. 55-135, European Mathematical Society [doi]
4. McPhail-Snyder, C; Miller, KA, Planar diagrams for local invariants of graphs in surfaces, Journal of Knot Theory and Its Ramifications, vol. 29 no. 01 (January, 2020), pp. 1950093-1950093, World Scientific Pub Co Pte Lt [doi]  [abs]