• Ph.D. in Mathematics
    • University of California, Berkeley, 2021
    • Advisor: Nicolai Reshetikhin
  • B.A. in Mathematics, Economics
    • University of Virginia, 2015

Academic Employment

  • Griffiths Assistant Research Professor
    • Fall 2021-Present
    • Duke University, Department of Mathematics
  • Graduate Student Instructor
    • Fall 2015-Spring 2021
    • University of California, Berkeley, Department of Mathematics


Hyperbolic tensor networks from cyclic quantum 𝔰𝔩₂ modules
With Nicolai Reshetikhin. , 2022.
Surgery calculus for classical SL₂(ℂ) Chern−Simons theory
Preprint, 2022 arXiv
Hyperbolic structures on link complements, octahedral decompositions, and quantum 𝔰𝔩₂
Preprint, 2022 arXiv
Kashaev-Reshetikhin invariants of links
Preprint, 2021, with Kai-Chieh Chen Scott Morrison Noah Snyder arXiv
SL₂(ℂ)-holonomy invariants of links
PhD thesis, 2021. arXiv
Holonomy invariants of links and nonabelian Reidemeister torsion
Quantum Topology, 2021. Download arXiv
Planar diagrams for local invariants of graphs in surfaces
With Kyle Miller. Journal of Knot Theory and its Ramifications, 2019. Download arXiv


Quantizing the hyperbolic volume
April 12, 2023 Seminar, UC Berkeley
Surgery calculus for 3-manifolds with hyperbolic structures
March 18, 2023 Special Session on Topology and Geometry of 3- and 4-Manifolds, AMS Spring 2023 Southeastern Sectional Meeting
Hyperbolic tensor networks and the volume conjecture
November 08, 2022 Geometry and Topology Seminar, Michigan State University
Quantum hyperbolic topology
June 28, 2022 Korea Institute for Advanced Study, Mathematics Seminar
Quantum hyperbolic topology
April 12, 2022 Geometry Seminar, University of Virginia
Quantum hyperbolic topology
February 21, 2022 Topology Seminar, Indiana University
Quantum invariants from unrestricted quantum groups
October 01, 2021 Geometric Methods in Representation Theory Seminar, UNC-Chapel Hill
Quantum invariants from unrestricted quantum groups
September 27, 2021 IUB Quantum Topology Seminar, Online
Making the Jones polynomial more geometric
September 06, 2021 Topology and Geometry Seminar, Duke University
Making the Jones polynomial more geometric
September 01, 2021 Australian Geometric Topology Webinar, Online
What do quantum invariants say about the geometry of knot complements?
April 19, 2021 3-Manifold Seminar, UC Berkeley
Holonomy invariants of links
June 01, 2020 NCNGT 2020, Online
Holonomy invariants from quantum groups
September 11, 2019 Representation Theory and Mathematical Physics Seminar, UC Berkeley
Diagrammatic algebras and categories in quantum algebra
November 19, 2017 QGM Nielsen Retreat, Centre for Quantum Geometry of Moduli Spaces