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 2021-Present
- Duke University, Department of Mathematics
- Graduate Student Instructor
- Fall 2015-Spring 2021
- University of California, Berkeley, Department of Mathematics
Publications
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Hyperbolic tensor networks from cyclic quantum 𝔰𝔩₂ modules
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With Nicolai Reshetikhin. , 2022.
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Surgery calculus for classical SL₂(ℂ) Chern−Simons theory
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Preprint, 2022
arXiv
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Hyperbolic structures on link complements, octahedral decompositions, and quantum 𝔰𝔩₂
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Preprint, 2022
arXiv
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Kashaev-Reshetikhin invariants of links
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Preprint, 2021, with Kai-Chieh Chen Scott Morrison Noah Snyder
arXiv
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SL₂(ℂ)-holonomy invariants of links
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PhD thesis, 2021.
arXiv
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Holonomy invariants of links and nonabelian Reidemeister torsion
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Quantum Topology, 2021.
Download
arXiv
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Planar diagrams for local invariants of graphs in surfaces
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With Kyle Miller. Journal of Knot Theory and its Ramifications, 2019.
Download
arXiv
Presentations
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Quantizing the hyperbolic volume
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April 12, 2023
Seminar, UC Berkeley
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Surgery calculus for 3-manifolds with hyperbolic structures
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March 18, 2023
Special Session on Topology and Geometry of 3- and 4-Manifolds, AMS Spring 2023 Southeastern Sectional Meeting
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Hyperbolic tensor networks and the volume conjecture
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November 08, 2022
Geometry and Topology Seminar, Michigan State University
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Quantum hyperbolic topology
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June 28, 2022
Korea Institute for Advanced Study, Mathematics Seminar
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Quantum hyperbolic topology
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April 12, 2022
Geometry Seminar, University of Virginia
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Quantum hyperbolic topology
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February 21, 2022
Topology Seminar, Indiana University
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Quantum invariants from unrestricted quantum groups
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October 01, 2021
Geometric Methods in Representation Theory Seminar, UNC-Chapel Hill
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Quantum invariants from unrestricted quantum groups
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September 27, 2021
IUB Quantum Topology Seminar, Online
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Making the Jones polynomial more geometric
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September 06, 2021
Topology and Geometry Seminar, Duke University
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Making the Jones polynomial more geometric
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September 01, 2021
Australian Geometric Topology Webinar, Online
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What do quantum invariants say about the geometry of knot complements?
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April 19, 2021
3-Manifold Seminar, UC Berkeley
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Holonomy invariants of links
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June 01, 2020
NCNGT 2020, Online
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Holonomy invariants from quantum groups
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September 11, 2019
Representation Theory and Mathematical Physics Seminar, UC Berkeley
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Diagrammatic algebras and categories in quantum algebra
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November 19, 2017
QGM Nielsen Retreat, Centre for Quantum Geometry of Moduli Spaces
