
معرفی
Calvin McPhail-Snyder serves as the Phillip Griffiths Assistant Research Professor in the Department of Mathematics at Duke University. His research bridges mathematical physics, topology, and algebra with a specialized focus on quantum invariants of knots and 3-manifolds and their connections to hyperbolic geometry.
Dr. McPhail-Snyder earned his Ph.D. from the University of California, Berkeley in 2021. His doctoral work established the foundation for his current research program investigating deep connections between geometric structures and quantum invariants.
His research program centers on quantum invariants of knots and 3-manifolds with particular emphasis on connections to hyperbolic geometry. Much of his theoretical work relates to the Volume Conjecture and explores physical implications in Chern-Simons theories with complex (noncompact) gauge groups. His publications demonstrate consistent contributions to understanding the relationship between algebraic structures and geometric properties of low-dimensional spaces.
For Fall 2025, McPhail-Snyder will teach two sections of Complex Analysis (MATH 333.01 and MATH 733.01), indicating his involvement in both undergraduate and graduate mathematics instruction. His research publications span prestigious journals including Geometriae Dedicata, Quantum Topology, and the Journal of Knot Theory and Its Ramifications, reflecting his expertise in low-dimensional topology and mathematical physics.



