Education
 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 2021Present
 Duke University, Department of Mathematics
 Graduate Student Instructor
 Fall 2015Spring 2021
 University of California, Berkeley, Department of Mathematics
Publications

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

KashaevReshetikhin invariants of links

Preprint, 2021, with KaiChieh 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.
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arXiv
Presentations

Quantizing the hyperbolic volume

April 12, 2023
Seminar, UC Berkeley

Surgery calculus for 3manifolds with hyperbolic structures

March 18, 2023
Special Session on Topology and Geometry of 3 and 4Manifolds, 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, UNCChapel 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
3Manifold 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