Overview
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.
Current Duke Appointments & Affiliations
Phillip Griffiths Assistant Research Professor of Mathematics
·
2023 - Present
Mathematics,
Trinity College of Arts & Sciences
Assistant Research Professor of Mathematics
·
2021 - Present
Mathematics,
Trinity College of Arts & Sciences
Recent Scholarly Works
State integrals for the quantized $\operatorname{SL}_2(\mathbb{C})$ Chern-Simons invariant
Preprint · January 8, 2026 Link to item CiteThe holonomy braiding for $\mathcal{U}_ΞΎ(\mathfrak{sl}_2)$ in terms of geometric quantum dilogarithms
Preprint · September 2, 2025 Link to item CiteA quantization of the $\operatorname{SL}_2(\mathbb{C})$ Chern-Simons invariant of tangle exteriors
Preprint · September 2, 2025 Link to item CiteEducation
University of California, Berkeley ·
2021
Ph.D.